[{"date_created":"2024-06-09T22:01:03Z","citation":{"mla":"Tairi, Erkan, and Akin Ünal. “Lower Bounds for Lattice-Based Compact Functional Encryption.” <i>Advances in Cryptology – EUROCRYPT 2024</i>, vol. 14652, Springer Nature, 2024, pp. 249–79, doi:<a href=\"https://doi.org/10.1007/978-3-031-58723-8_9\">10.1007/978-3-031-58723-8_9</a>.","short":"E. Tairi, A. Ünal, in:, Advances in Cryptology – EUROCRYPT 2024, Springer Nature, 2024, pp. 249–279.","apa":"Tairi, E., &#38; Ünal, A. (2024). Lower bounds for lattice-based compact functional encryption. In <i>Advances in Cryptology – EUROCRYPT 2024</i> (Vol. 14652, pp. 249–279). Zurich, Switzerland: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-58723-8_9\">https://doi.org/10.1007/978-3-031-58723-8_9</a>","ama":"Tairi E, Ünal A. Lower bounds for lattice-based compact functional encryption. In: <i>Advances in Cryptology – EUROCRYPT 2024</i>. Vol 14652. Springer Nature; 2024:249-279. doi:<a href=\"https://doi.org/10.1007/978-3-031-58723-8_9\">10.1007/978-3-031-58723-8_9</a>","ieee":"E. Tairi and A. Ünal, “Lower bounds for lattice-based compact functional encryption,” in <i>Advances in Cryptology – EUROCRYPT 2024</i>, Zurich, Switzerland, 2024, vol. 14652, pp. 249–279.","chicago":"Tairi, Erkan, and Akin Ünal. “Lower Bounds for Lattice-Based Compact Functional Encryption.” In <i>Advances in Cryptology – EUROCRYPT 2024</i>, 14652:249–79. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-3-031-58723-8_9\">https://doi.org/10.1007/978-3-031-58723-8_9</a>.","ista":"Tairi E, Ünal A. 2024. Lower bounds for lattice-based compact functional encryption. Advances in Cryptology – EUROCRYPT 2024. EUROCRYPT: Theory and Applications of Cryptographic Techniques, LNCS, vol. 14652, 249–279."},"year":"2024","department":[{"_id":"KrPi"}],"status":"public","oa":1,"conference":{"start_date":"2024-05-26","name":"EUROCRYPT: Theory and Applications of Cryptographic Techniques","end_date":"2024-05-30","location":"Zurich, Switzerland"},"author":[{"full_name":"Tairi, Erkan","first_name":"Erkan","last_name":"Tairi"},{"orcid":"0000-0002-8929-0221","full_name":"Ünal, Akin","first_name":"Akin","id":"f6b56fb6-dc63-11ee-9dbf-f6780863a85a","last_name":"Ünal"}],"external_id":{"isi":["001278247600009"]},"month":"05","date_updated":"2026-10-16T08:10:05Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-05-08T00:00:00Z","das_tickbox":"0","intvolume":"     14652","publication_identifier":{"isbn":["9783031587221"],"issn":["0302-9743"],"eissn":["1611-3349"]},"supplementarymaterial":"no","language":[{"iso":"eng"}],"_id":"17126","day":"08","isi":1,"title":"Lower bounds for lattice-based compact functional encryption","doi":"10.1007/978-3-031-58723-8_9","acknowledgement":"We want to thank the anonymous reviewers of TCC and Eurocrypt for their very helpful comments and suggestions. This work has received funding from the Austrian Science Fund (FWF) and netidee SCIENCE via grant P31621-N38 (PROFET).","researchdata_availability":"no","publication":"Advances in Cryptology – EUROCRYPT 2024","abstract":[{"text":"Functional encryption (FE) is a primitive where the holder of a master secret key can control which functions a user can evaluate on encrypted data. It is a powerful primitive that even implies indistinguishability obfuscation (iO), given sufficiently compact ciphertexts (Ananth-Jain, CRYPTO’15 and Bitansky-Vaikuntanathan, FOCS’15). However, despite being extensively studied, there are FE schemes, such as function-hiding inner-product FE (Bishop-Jain-Kowalczyk, AC’15, Abdalla-Catalano-Fiore-Gay-Ursu, CRYPTO’18) and compact quadratic FE (Baltico-Catalano-Fiore-Gay, Lin, CRYPTO’17), that can be only realized using pairings. This raises the question if there are some mathematical barriers that hinder us from realizing these FE schemes from other assumptions.\r\n\r\nIn this paper, we study the difficulty of constructing lattice-based compact FE. We generalize the impossibility results of Ünal (EC’20) for lattice-based function-hiding FE, and extend it to the case of compact FE. Concretely, we prove lower bounds for lattice-based compact FE schemes which meet some (natural) algebraic restrictions at encryption and decryption, and have ciphertexts of linear size and secret keys of minimal degree. We see our results as important indications of why it is hard to construct lattice-based FE schemes for new functionalities, and which mathematical barriers have to be overcome.","lang":"eng"}],"quality_controlled":"1","article_processing_charge":"No","fulldoi":"https://doi.org/10.1007/978-3-031-58723-8_9","type":"conference","publisher":"Springer Nature","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2023/719.pdf"}],"publication_status":"published","oa_version":"Submitted Version","page":"249-279","alternative_title":["LNCS"],"volume":14652},{"fulldoi":"https://doi.org/10.1007/978-981-96-0891-1_7","type":"conference","main_file_link":[{"url":"https://eprint.iacr.org/2024/2078","open_access":"1"}],"scopus_import":"1","publisher":"Springer Nature","publication_status":"published","oa_version":"Preprint","page":"207-239","volume":15486,"acknowledgement":"Ehsan Ebrahimi is supported by the Luxembourg National Research Fund under the Junior CORE project QSP (C22/IS/17272217/QSP/Ebrahimi).","doi":"10.1007/978-981-96-0891-1_7","abstract":[{"lang":"eng","text":"A universalthresholdizer (UT), constructed from a threshold fully homomorphic encryption by Boneh et. al , Crypto 2018, is a general framework for universally thresholdizing many cryptographic schemes. However, their framework is insufficient to construct strongly secure threshold schemes, such as threshold signatures and threshold public-key encryption, etc.\r\n\r\nIn this paper, we strengthen the security definition for a universal thresholdizer and propose a scheme which satisfies our stronger security notion. Our UT scheme is an improvement of Boneh et. al ’s construction at the level of threshold fully homomorphic encryption using a key homomorphic pseudorandom function. We apply our strongly secure UT scheme to construct strongly secure threshold signatures and threshold public-key encryption."}],"researchdata_availability":"no","publication":"30th International Conference on the Theory and Application of Cryptology and Information Security","article_processing_charge":"No","quality_controlled":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-16T08:10:40Z","date_published":"2024-12-12T00:00:00Z","intvolume":"     15486","publication_identifier":{"issn":["0302-9743"],"isbn":["9789819608904"],"eissn":["1611-3349"]},"supplementarymaterial":"no","OA_place":"repository","das_tickbox":"0","day":"12","isi":1,"language":[{"iso":"eng"}],"_id":"18755","title":"Strongly secure universal thresholdizer","department":[{"_id":"KrPi"}],"citation":{"apa":"Ebrahimi, E., &#38; Yadav, A. (2024). Strongly secure universal thresholdizer. In <i>30th International Conference on the Theory and Application of Cryptology and Information Security</i> (Vol. 15486, pp. 207–239). Kolkata, India: Springer Nature. <a href=\"https://doi.org/10.1007/978-981-96-0891-1_7\">https://doi.org/10.1007/978-981-96-0891-1_7</a>","short":"E. Ebrahimi, A. Yadav, in:, 30th International Conference on the Theory and Application of Cryptology and Information Security, Springer Nature, 2024, pp. 207–239.","ama":"Ebrahimi E, Yadav A. Strongly secure universal thresholdizer. In: <i>30th International Conference on the Theory and Application of Cryptology and Information Security</i>. Vol 15486. Springer Nature; 2024:207-239. doi:<a href=\"https://doi.org/10.1007/978-981-96-0891-1_7\">10.1007/978-981-96-0891-1_7</a>","mla":"Ebrahimi, Ehsan, and Anshu Yadav. “Strongly Secure Universal Thresholdizer.” <i>30th International Conference on the Theory and Application of Cryptology and Information Security</i>, vol. 15486, Springer Nature, 2024, pp. 207–39, doi:<a href=\"https://doi.org/10.1007/978-981-96-0891-1_7\">10.1007/978-981-96-0891-1_7</a>.","ieee":"E. Ebrahimi and A. Yadav, “Strongly secure universal thresholdizer,” in <i>30th International Conference on the Theory and Application of Cryptology and Information Security</i>, Kolkata, India, 2024, vol. 15486, pp. 207–239.","ista":"Ebrahimi E, Yadav A. 2024. Strongly secure universal thresholdizer. 30th International Conference on the Theory and Application of Cryptology and Information Security. ASIACRYPT: Conference on the Theory and Application of Cryptology and Information Security vol. 15486, 207–239.","chicago":"Ebrahimi, Ehsan, and Anshu Yadav. “Strongly Secure Universal Thresholdizer.” In <i>30th International Conference on the Theory and Application of Cryptology and Information Security</i>, 15486:207–39. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-981-96-0891-1_7\">https://doi.org/10.1007/978-981-96-0891-1_7</a>."},"date_created":"2025-01-05T23:01:56Z","year":"2024","OA_type":"green","status":"public","conference":{"start_date":"2024-12-09","end_date":"2024-12-13","name":"ASIACRYPT: Conference on the Theory and Application of Cryptology and Information Security","location":"Kolkata, India"},"author":[{"first_name":"Ehsan","last_name":"Ebrahimi","full_name":"Ebrahimi, Ehsan"},{"full_name":"Yadav, Anshu","first_name":"Anshu","id":"dc8f1524-403e-11ee-bf07-9649ad996e21","last_name":"Yadav"}],"oa":1,"month":"12","external_id":{"isi":["001443889100007"]}},{"OA_type":"green","year":"2024","citation":{"ieee":"J. Svoboda, S. Bansal, and K. Chatterjee, “Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance,” in <i>41st International Conference on Machine Learning</i>, Vienna, Austria, 2024, vol. 235, pp. 47331–47344.","chicago":"Svoboda, Jakub, Suguman Bansal, and Krishnendu Chatterjee. “Reinforcement Learning from Reachability Specifications: PAC Guarantees with Expected Conditional Distance.” In <i>41st International Conference on Machine Learning</i>, 235:47331–44. ML Research Press, 2024.","ista":"Svoboda J, Bansal S, Chatterjee K. 2024. Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance. 41st International Conference on Machine Learning. ICML: International Conference on Machine Learning, PMLR, vol. 235, 47331–47344.","apa":"Svoboda, J., Bansal, S., &#38; Chatterjee, K. (2024). Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance. In <i>41st International Conference on Machine Learning</i> (Vol. 235, pp. 47331–47344). Vienna, Austria: ML Research Press.","short":"J. Svoboda, S. Bansal, K. Chatterjee, in:, 41st International Conference on Machine Learning, ML Research Press, 2024, pp. 47331–47344.","ama":"Svoboda J, Bansal S, Chatterjee K. Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance. In: <i>41st International Conference on Machine Learning</i>. Vol 235. ML Research Press; 2024:47331-47344.","mla":"Svoboda, Jakub, et al. “Reinforcement Learning from Reachability Specifications: PAC Guarantees with Expected Conditional Distance.” <i>41st International Conference on Machine Learning</i>, vol. 235, ML Research Press, 2024, pp. 47331–44."},"date_created":"2025-01-30T07:45:22Z","department":[{"_id":"KrCh"}],"status":"public","oa":1,"author":[{"orcid":"0000-0002-1419-3267","full_name":"Svoboda, Jakub","first_name":"Jakub","last_name":"Svoboda","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"},{"last_name":"Bansal","first_name":"Suguman","full_name":"Bansal, Suguman"},{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee"}],"conference":{"name":"ICML: International Conference on Machine Learning","end_date":"2024-07-27","location":"Vienna, Austria","start_date":"2024-07-21"},"month":"07","date_published":"2024-07-29T00:00:00Z","date_updated":"2026-10-16T08:08:33Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","das_tickbox":"0","OA_place":"publisher","supplementarymaterial":"no","intvolume":"       235","language":[{"iso":"eng"}],"_id":"18974","day":"29","title":"Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance","researchdata_availability":"no","publication":"41st International Conference on Machine Learning","abstract":[{"text":"Reinforcement Learning (RL) from temporal logical specifications is a fundamental problem in sequential decision making. One of the basic and core such specification is the reachability specification that requires a target set to be eventually visited. Despite strong empirical results for RL from such specifications, the theoretical guarantees are bleak, including the impossibility of Probably Approximately Correct (PAC) guarantee for reachability specifications. Given the impossibility result, in this work we consider the problem of RL from reachability specifications along with the information of expected conditional distance (ECD). We present (a) lower bound results which establish the necessity of ECD information for PAC guarantees and (b) an algorithm that establishes PAC-guarantees given the ECD information. To the best of our knowledge, this is the first RL from reachability specifications that does not make any assumptions on the underlying environment to learn policies.","lang":"eng"}],"quality_controlled":"1","article_processing_charge":"No","type":"conference","publisher":"ML Research Press","main_file_link":[{"open_access":"1","url":"https://openreview.net/forum?id=mXUDDL4r1Q"}],"scopus_import":"1","corr_author":"1","oa_version":"Preprint","publication_status":"published","alternative_title":["PMLR"],"volume":235,"page":"47331-47344"},{"file_date_updated":"2024-09-19T12:36:08Z","supplementarymaterial":"not applicable","publication_identifier":{"issn":["2663-337X"]},"das_tickbox":"1","OA_place":"publisher","ddc":["000"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-16T08:11:08Z","date_published":"2024-09-18T00:00:00Z","doi_confirm":"1","title":"On the efficiency and security of secure group messaging","day":"18","language":[{"iso":"eng"}],"_id":"18088","status":"public","department":[{"_id":"KrPi"},{"_id":"GradSch"}],"date_created":"2024-09-18T12:59:49Z","citation":{"ista":"Pascual Perez G. 2024. On the efficiency and security of secure group messaging. Institute of Science and Technology Austria.","chicago":"Pascual Perez, Guillermo. “On the Efficiency and Security of Secure Group Messaging.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:18088\">https://doi.org/10.15479/at:ista:18088</a>.","ieee":"G. Pascual Perez, “On the efficiency and security of secure group messaging,” Institute of Science and Technology Austria, 2024.","mla":"Pascual Perez, Guillermo. <i>On the Efficiency and Security of Secure Group Messaging</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:18088\">10.15479/at:ista:18088</a>.","ama":"Pascual Perez G. On the efficiency and security of secure group messaging. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:18088\">10.15479/at:ista:18088</a>","apa":"Pascual Perez, G. (2024). <i>On the efficiency and security of secure group messaging</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:18088\">https://doi.org/10.15479/at:ista:18088</a>","short":"G. Pascual Perez, On the Efficiency and Security of Secure Group Messaging, Institute of Science and Technology Austria, 2024."},"year":"2024","month":"09","author":[{"id":"2D7ABD02-F248-11E8-B48F-1D18A9856A87","last_name":"Pascual Perez","first_name":"Guillermo","full_name":"Pascual Perez, Guillermo","orcid":"0000-0001-8630-415X"}],"oa":1,"degree_awarded":"PhD","has_accepted_license":"1","tmp":{"image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode"},"publisher":"Institute of Science and Technology Austria","fulldoi":"https://doi.org/10.15479/at:ista:18088","ec_funded":1,"type":"dissertation","page":"239","alternative_title":["ISTA Thesis"],"publication_status":"published","oa_version":"Published Version","corr_author":"1","file":[{"relation":"source_file","file_id":"18099","checksum":"ce0dca715b3df48e52e2e891b6ac1bc5","creator":"gpascual","file_size":11917734,"file_name":"thesis_bundle.zip","access_level":"closed","content_type":"application/x-zip-compressed","date_updated":"2024-09-19T12:35:38Z","date_created":"2024-09-19T12:35:38Z"},{"date_updated":"2024-09-19T12:36:08Z","date_created":"2024-09-19T12:36:08Z","access_level":"open_access","content_type":"application/pdf","file_id":"18100","file_size":2729427,"creator":"gpascual","checksum":"4a2c72e90f1a0ef2a13cff800f8d1265","file_name":"thesis_gpasper.pdf","relation":"main_file"}],"related_material":{"record":[{"id":"10408","relation":"part_of_dissertation","status":"public"},{"id":"11476","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"10049"},{"relation":"part_of_dissertation","status":"public","id":"18086"}]},"supervisor":[{"orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z","last_name":"Pietrzak","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof Z"}],"doi":"10.15479/at:ista:18088","article_processing_charge":"No","abstract":[{"text":"Instant messaging applications like Whatsapp, Signal or Telegram have become ubiquitous in today's society.\r\nMany of them provide not only end-to-end encryption, but also security guarantees even when the key material gets compromised.\r\nThese are achieved through frequent key update performed by users.\r\nIn particular, the compromise of a group key should preserve confidentiality of previously exchanged messages (forward secrecy), and a subsequent key update will ensure security for future ones (post-compromise security).\r\nThough great protocols for one-on-one communication have been known for some time, the design of ones that scale efficiently for larger groups while achieving akin security guarantees is a hard problem.\r\nA great deal of research has been aimed at this topic, much of it under the umbrella of the Messaging Layer Security (MLS) working group at the IETF. \r\nStarted in 2018, this joint effort by academics and industry culminated in 2023 with the publication of the first standard for secure group messaging [IETF, RFC9420].\r\n\r\nAt the core of secure group messaging is a cryptographic primitive termed Continuous Group Key Agreement, or CGKA [Alwen et al. 2021], that essentially allows a changing group of users to agree on a common key with the added functionality security against compromises is achieved by users asynchronously issuing a key update. In this thesis we contribute to the understanding of CGKA across different angles.\r\nFirst, we present a new technique to effect dynamic operations in groups, i.e., add or remove members, that can be more efficient that the one employed by MLS in certain settings.\r\nConsidering the setting of users belonging to multiple overlapping groups, we then show lowerbounds on the communication cost of constructions that leverage said overlap, at the same time showing protocols that are asymptotically optimal and efficient for practical settings, respectively. Along the way, we show that the communication cost of key updates in MLS is average-cost optimal.\r\nAn important feature in CGKA protocols, particularly for big groups, is the possibility of executing several group operations concurrently. While later versions of MLS support this, they do at the cost of worsening the communication efficiency of future group operations.\r\nIn this thesis we introduce two new protocols that permit concurrency without any negative effect on efficiency. Our protocols circumvent previously existing lower bounds by satisfying a new notion of post-compromise security that only asks for security to be re-established after a certain number of key updates have taken place. While this can be slower than MLS in terms of rounds of communication, we show that it leads to more efficient overall communication. \r\nAdditionally, we introduce a new technique that allows group members to decrease the information they need to store and download, which makes one of our protocols enjoy much lower download cost than any other existing CGKA constructions. ","lang":"eng"}],"researchdata_availability":"yes","project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020"}]},{"external_id":{"isi":["001330408000014"]},"month":"09","conference":{"start_date":"2024-09-11","end_date":"2024-09-13","name":"SCN: Security and Cryptography for Networks","location":"Amalfi, Italy"},"author":[{"last_name":"Alwen","id":"2A8DFA8C-F248-11E8-B48F-1D18A9856A87","first_name":"Joel F","full_name":"Alwen, Joel F"},{"orcid":"0000-0002-7553-6606","full_name":"Auerbach, Benedikt","id":"D33D2B18-E445-11E9-ABB7-15F4E5697425","last_name":"Auerbach","first_name":"Benedikt"},{"orcid":"0000-0002-2505-4246","full_name":"Cueto Noval, Miguel","first_name":"Miguel","id":"ffc563a3-f6e0-11ea-865d-e3cce03d17cc","last_name":"Cueto Noval"},{"last_name":"Klein","id":"3E83A2F8-F248-11E8-B48F-1D18A9856A87","first_name":"Karen","full_name":"Klein, Karen"},{"id":"2D7ABD02-F248-11E8-B48F-1D18A9856A87","last_name":"Pascual Perez","first_name":"Guillermo","orcid":"0000-0001-8630-415X","full_name":"Pascual Perez, Guillermo"},{"first_name":"Krzysztof Z","last_name":"Pietrzak","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z"}],"status":"public","date_created":"2024-09-18T11:35:14Z","citation":{"ieee":"J. F. Alwen, B. Auerbach, M. Cueto Noval, K. Klein, G. Pascual Perez, and K. Z. Pietrzak, “DeCAF: Decentralizable CGKA with fast healing,” in <i>Security and Cryptography for Networks: 14th International Conference</i>, Amalfi, Italy, 2024, vol. 14974, pp. 294–313.","ista":"Alwen JF, Auerbach B, Cueto Noval M, Klein K, Pascual Perez G, Pietrzak KZ. 2024. DeCAF: Decentralizable CGKA with fast healing. Security and Cryptography for Networks: 14th International Conference. SCN: Security and Cryptography for Networks, LNCS, vol. 14974, 294–313.","chicago":"Alwen, Joel F, Benedikt Auerbach, Miguel Cueto Noval, Karen Klein, Guillermo Pascual Perez, and Krzysztof Z Pietrzak. “DeCAF: Decentralizable CGKA with Fast Healing.” In <i>Security and Cryptography for Networks: 14th International Conference</i>, edited by Clemente Galdi and Duong Hieu Phan, 14974:294–313. Cham: Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-3-031-71073-5_14\">https://doi.org/10.1007/978-3-031-71073-5_14</a>.","mla":"Alwen, Joel F., et al. “DeCAF: Decentralizable CGKA with Fast Healing.” <i>Security and Cryptography for Networks: 14th International Conference</i>, edited by Clemente Galdi and Duong Hieu Phan, vol. 14974, Springer Nature, 2024, pp. 294–313, doi:<a href=\"https://doi.org/10.1007/978-3-031-71073-5_14\">10.1007/978-3-031-71073-5_14</a>.","short":"J.F. Alwen, B. Auerbach, M. Cueto Noval, K. Klein, G. Pascual Perez, K.Z. Pietrzak, in:, C. Galdi, D.H. Phan (Eds.), Security and Cryptography for Networks: 14th International Conference, Springer Nature, Cham, 2024, pp. 294–313.","apa":"Alwen, J. F., Auerbach, B., Cueto Noval, M., Klein, K., Pascual Perez, G., &#38; Pietrzak, K. Z. (2024). DeCAF: Decentralizable CGKA with fast healing. In C. Galdi &#38; D. H. Phan (Eds.), <i>Security and Cryptography for Networks: 14th International Conference</i> (Vol. 14974, pp. 294–313). Cham: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-71073-5_14\">https://doi.org/10.1007/978-3-031-71073-5_14</a>","ama":"Alwen JF, Auerbach B, Cueto Noval M, Klein K, Pascual Perez G, Pietrzak KZ. DeCAF: Decentralizable CGKA with fast healing. In: Galdi C, Phan DH, eds. <i>Security and Cryptography for Networks: 14th International Conference</i>. Vol 14974. Cham: Springer Nature; 2024:294–313. doi:<a href=\"https://doi.org/10.1007/978-3-031-71073-5_14\">10.1007/978-3-031-71073-5_14</a>"},"year":"2024","department":[{"_id":"GradSch"},{"_id":"KrPi"}],"title":"DeCAF: Decentralizable CGKA with fast healing","language":[{"iso":"eng"}],"_id":"18086","day":"10","isi":1,"das_tickbox":"0","intvolume":"     14974","supplementarymaterial":"no","publication_identifier":{"eisbn":["9783031710735"],"eissn":["1611-3349"],"issn":["0302-9743"],"isbn":["9783031710728"]},"date_published":"2024-09-10T00:00:00Z","date_updated":"2026-10-16T08:11:07Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","quality_controlled":"1","article_processing_charge":"No","publication":"Security and Cryptography for Networks: 14th International Conference","researchdata_availability":"no","abstract":[{"lang":"eng","text":"Abstract. Continuous group key agreement (CGKA) allows a group of\r\nusers to maintain a continuously updated shared key in an asynchronous\r\nsetting where parties only come online sporadically and their messages\r\nare relayed by an untrusted server. CGKA captures the basic primitive\r\nunderlying group messaging schemes.\r\nCurrent solutions including TreeKEM (“Messaging Layer Security”\r\n(MLS) IETF RFC 9420) cannot handle concurrent requests while retaining low communication complexity. The exception being CoCoA, which\r\nis concurrent while having extremely low communication complexity (in\r\ngroups of size n and for m concurrent updates the communication per\r\nuser is log(n), i.e., independent of m). The main downside of CoCoA\r\nis that in groups of size n, users might have to do up to log(n) update\r\nrequests to the server to ensure their (potentially corrupted) key material has been refreshed.\r\nIn this work we present a “fast healing” concurrent CGKA protocol,\r\nnamed DeCAF, where users will heal after at most log(t) requests, with\r\nt being the number of corrupted users. While also suitable for the standard central-server setting, our protocol is particularly interesting for\r\nrealizing decentralized group messaging, where protocol messages (add,\r\nremove, update) are being posted on some append-only data structure\r\nrather than sent to a server. In this setting, concurrency is crucial once\r\nthe rate of requests exceeds, say, the rate at which new blocks are added\r\nto a blockchain.\r\nIn the central-server setting, CoCoA (the only alternative with concurrency, sub-linear communication and basic post-compromise security)\r\nenjoys much lower download communication. However, in the decentralized setting – where there is no server which can craft specific messages\r\nfor different users to reduce their download communication – our protocol\r\nsignificantly outperforms CoCoA. DeCAF heals in fewer epochs (log(t)\r\nvs. log(n)) while incurring a similar per epoch per user communication\r\ncost."}],"editor":[{"first_name":"Clemente","last_name":"Galdi","full_name":"Galdi, Clemente"},{"full_name":"Phan, Duong Hieu","first_name":"Duong Hieu","last_name":"Phan"}],"doi":"10.1007/978-3-031-71073-5_14","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"18088"}]},"page":"294–313","volume":14974,"alternative_title":["LNCS"],"corr_author":"1","publication_status":"published","place":"Cham","oa_version":"None","publisher":"Springer Nature","fulldoi":"https://doi.org/10.1007/978-3-031-71073-5_14","type":"conference"},{"date_updated":"2026-10-16T08:29:47Z","ddc":["000"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-07-01T00:00:00Z","das_tickbox":"0","OA_place":"publisher","publication_identifier":{"issn":["2299-0984"]},"supplementarymaterial":"no","intvolume":"      2024","file_date_updated":"2025-01-29T13:44:47Z","_id":"18961","language":[{"iso":"eng"}],"issue":"4","day":"01","title":"Deniability in automated contact tracing: Impossibilities and possibilities","OA_type":"gold","year":"2024","citation":{"mla":"Günther, Christoph Ullrich, and Krzysztof Z. Pietrzak. “Deniability in Automated Contact Tracing: Impossibilities and Possibilities.” <i>Proceedings on Privacy Enhancing Technologies</i>, vol. 2024, no. 4, Privacy Enhancing Technologies Symposium Advisory Board, 2024, pp. 636–48, doi:<a href=\"https://doi.org/10.56553/popets-2024-0134\">10.56553/popets-2024-0134</a>.","short":"C.U. Günther, K.Z. Pietrzak, Proceedings on Privacy Enhancing Technologies 2024 (2024) 636–648.","apa":"Günther, C. U., &#38; Pietrzak, K. Z. (2024). Deniability in automated contact tracing: Impossibilities and possibilities. <i>Proceedings on Privacy Enhancing Technologies</i>. Bristol, UK/Virtual: Privacy Enhancing Technologies Symposium Advisory Board. <a href=\"https://doi.org/10.56553/popets-2024-0134\">https://doi.org/10.56553/popets-2024-0134</a>","ama":"Günther CU, Pietrzak KZ. Deniability in automated contact tracing: Impossibilities and possibilities. <i>Proceedings on Privacy Enhancing Technologies</i>. 2024;2024(4):636-648. doi:<a href=\"https://doi.org/10.56553/popets-2024-0134\">10.56553/popets-2024-0134</a>","ieee":"C. U. Günther and K. Z. Pietrzak, “Deniability in automated contact tracing: Impossibilities and possibilities,” <i>Proceedings on Privacy Enhancing Technologies</i>, vol. 2024, no. 4. Privacy Enhancing Technologies Symposium Advisory Board, pp. 636–648, 2024.","chicago":"Günther, Christoph Ullrich, and Krzysztof Z Pietrzak. “Deniability in Automated Contact Tracing: Impossibilities and Possibilities.” <i>Proceedings on Privacy Enhancing Technologies</i>. Privacy Enhancing Technologies Symposium Advisory Board, 2024. <a href=\"https://doi.org/10.56553/popets-2024-0134\">https://doi.org/10.56553/popets-2024-0134</a>.","ista":"Günther CU, Pietrzak KZ. 2024. Deniability in automated contact tracing: Impossibilities and possibilities. Proceedings on Privacy Enhancing Technologies. 2024(4), 636–648."},"date_created":"2025-01-29T13:39:34Z","department":[{"_id":"KrPi"},{"_id":"GradSch"}],"status":"public","oa":1,"has_accepted_license":"1","author":[{"id":"ec98511c-eb8e-11eb-b029-edd25d7271a1","last_name":"Günther","first_name":"Christoph Ullrich","full_name":"Günther, Christoph Ullrich"},{"first_name":"Krzysztof Z","last_name":"Pietrzak","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","full_name":"Pietrzak, Krzysztof Z","orcid":"0000-0002-9139-1654"}],"conference":{"start_date":"2024-07-15","location":"Bristol, UK/Virtual","end_date":"2024-07-20","name":"PETs: Privacy Enhancing Technologies Symposium "},"month":"07","type":"journal_article","fulldoi":"https://doi.org/10.56553/popets-2024-0134","publisher":"Privacy Enhancing Technologies Symposium Advisory Board","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"corr_author":"1","oa_version":"Published Version","publication_status":"published","volume":2024,"page":"636-648","doi":"10.56553/popets-2024-0134","acknowledgement":"We thank Raluca-Georgia Diugan for her initial contributions and support afterward.\r\nThis research was funded in whole or in part by the Austrian Science Fund (FWF) 10.55776/F85.","file":[{"date_updated":"2025-01-29T13:44:47Z","date_created":"2025-01-29T13:44:47Z","access_level":"open_access","content_type":"application/pdf","file_id":"18962","success":1,"file_size":611567,"checksum":"348ed6adcf6ad2f925227bde1758cae6","creator":"dernst","file_name":"2024_ProcPrivacyEnhTech_Guenther.pdf","relation":"main_file"}],"project":[{"_id":"34a34d57-11ca-11ed-8bc3-a2688a8724e1","name":"Security and Privacy by Design for Complex Systems","grant_number":"F8509"}],"researchdata_availability":"no","publication":"Proceedings on Privacy Enhancing Technologies","article_type":"original","abstract":[{"lang":"eng","text":"Automated contact tracing (ACT) emerged as a promising measure to curb the spread of Covid-19. Users enable ACT on their smartphones to automatically record contacts with other users. If a user tests positive for the disease, they report their diagnosis to alert their contacts.\r\nDesigning effective ACT protocols is challenging since they need to be efficient and secure while also ensuring users' privacy. As ACT protocols necessarily leak some information by design, defining privacy is difficult. For example, a user cannot deny having met another user. Ideally, however, the user can plausibly deny everything else, in particular, when they met. We call this privacy property contact-time deniability.\r\nWhile some early works discussed contact-time deniability informally, it has received little attention since then. We investigate deniability from a rigorous, theoretical point of view and arrive at the following impossibility result:\r\nA decentralized protocol with unidirectional communication cannot be contact-time deniable and replay-secure. This holds even if malicious users treat smartphones as black-boxes.\r\n Unidirectional protocols are usually very efficient and many proposals are unidirectional, e.g., the widely-deployed Google-Apple Exposure Notifications. So the impossibility result considerably constrains the design space of efficient, secure, and private ACT protocols. However, it can also be used as a guide; we discuss several possibilities to achieve contact-time deniability in practice."}],"quality_controlled":"1","article_processing_charge":"No"},{"status":"public","department":[{"_id":"LaEr"}],"date_created":"2024-11-17T23:01:46Z","citation":{"short":"L. Erdös, V. Riabov, Communications in Mathematical Physics 405 (2024).","apa":"Erdös, L., &#38; Riabov, V. (2024). Eigenstate Thermalization Hypothesis for Wigner-type matrices. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-024-05143-y\">https://doi.org/10.1007/s00220-024-05143-y</a>","ama":"Erdös L, Riabov V. Eigenstate Thermalization Hypothesis for Wigner-type matrices. <i>Communications in Mathematical Physics</i>. 2024;405(12). doi:<a href=\"https://doi.org/10.1007/s00220-024-05143-y\">10.1007/s00220-024-05143-y</a>","mla":"Erdös, László, and Volodymyr Riabov. “Eigenstate Thermalization Hypothesis for Wigner-Type Matrices.” <i>Communications in Mathematical Physics</i>, vol. 405, no. 12, 282, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00220-024-05143-y\">10.1007/s00220-024-05143-y</a>.","ieee":"L. Erdös and V. Riabov, “Eigenstate Thermalization Hypothesis for Wigner-type matrices,” <i>Communications in Mathematical Physics</i>, vol. 405, no. 12. Springer Nature, 2024.","chicago":"Erdös, László, and Volodymyr Riabov. “Eigenstate Thermalization Hypothesis for Wigner-Type Matrices.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00220-024-05143-y\">https://doi.org/10.1007/s00220-024-05143-y</a>.","ista":"Erdös L, Riabov V. 2024. Eigenstate Thermalization Hypothesis for Wigner-type matrices. Communications in Mathematical Physics. 405(12), 282."},"year":"2024","OA_type":"hybrid","month":"12","external_id":{"pmid":["39526190"],"isi":["001348943900004"],"arxiv":["2403.10359"]},"author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"full_name":"Riabov, Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","last_name":"Riabov","first_name":"Volodymyr"}],"has_accepted_license":"1","oa":1,"file_date_updated":"2024-11-18T08:15:07Z","intvolume":"       405","supplementarymaterial":"yes","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"das_tickbox":"1","OA_place":"publisher","ddc":["510"],"date_published":"2024-12-01T00:00:00Z","date_updated":"2026-10-16T08:34:30Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"title":"Eigenstate Thermalization Hypothesis for Wigner-type matrices","day":"01","issue":"12","pmid":1,"isi":1,"_id":"18554","language":[{"iso":"eng"}],"file":[{"access_level":"open_access","content_type":"application/pdf","date_updated":"2024-11-18T08:15:07Z","date_created":"2024-11-18T08:15:07Z","relation":"main_file","success":1,"file_id":"18562","file_name":"2024_CommMathPhysics_Erdoes.pdf","checksum":"c9ae0ea195bd39b8b3a630d492fb00dc","creator":"dernst","file_size":1426046}],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"20575"}]},"doi":"10.1007/s00220-024-05143-y","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","abstract":[{"lang":"eng","text":"We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for obs ervables of arbitrary rank. As the main technical ingredient, we prove rank-uniform optimal local laws for one and two resolvents of a Wigner-type matrix with regular observables. Our results hold under very general conditions on the variance profile, even allowing many vanishing entries, demonstrating that Eigenstate Thermalization occurs robustly across a diverse class of random matrix ensembles, for which the underlying quantum system has a non-trivial spatial structure."}],"article_type":"original","researchdata_availability":"not applicable","publication":"Communications in Mathematical Physics","scopus_import":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publisher":"Springer Nature","fulldoi":"https://doi.org/10.1007/s00220-024-05143-y","type":"journal_article","dataavailabilitystatement":"There is no data associated to this work.","article_number":"282","volume":405,"publication_status":"published","oa_version":"Published Version","corr_author":"1"},{"volume":37,"page":"933-973","oa_version":"Published Version","publication_status":"published","corr_author":"1","scopus_import":"1","publisher":"Springer Nature","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"type":"journal_article","fulldoi":"https://doi.org/10.1007/s10959-023-01275-4","dataavailabilitystatement":"All data generated or analyzed during this study are included in this published article.","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","article_type":"original","abstract":[{"text":"We consider the spectrum of random Laplacian matrices of the form Ln=An−Dn where An\r\n is a real symmetric random matrix and Dn is a diagonal matrix whose entries are equal to the corresponding row sums of An. If An is a Wigner matrix with entries in the domain of attraction of a Gaussian distribution, the empirical spectral measure of Ln is known to converge to the free convolution of a semicircle distribution and a standard real Gaussian distribution. We consider real symmetric random matrices An with independent entries (up to symmetry) whose row sums converge to a purely non-Gaussian infinitely divisible distribution, which fall into the class of Lévy–Khintchine random matrices first introduced by Jung [Trans Am Math Soc, 370, (2018)]. Our main result shows that the empirical spectral measure of Ln  converges almost surely to a deterministic limit. A key step in the proof is to use the purely non-Gaussian nature of the row sums to build a random operator to which Ln converges in an appropriate sense. This operator leads to a recursive distributional equation uniquely describing the Stieltjes transform of the limiting empirical spectral measure.","lang":"eng"}],"researchdata_availability":"yes (supplementary data)","publication":"Journal of Theoretical Probability","file":[{"file_id":"17300","success":1,"checksum":"f7793d313104c70422140c5e6494c779","file_name":"2024_JourTheorProbab_Campbell.pdf","creator":"dernst","file_size":555070,"relation":"main_file","date_updated":"2024-07-22T09:41:21Z","date_created":"2024-07-22T09:41:21Z","access_level":"open_access","content_type":"application/pdf"}],"acknowledgement":"The first author thanks Yizhe Zhu for pointing out reference [30]. We thank David Renfrew for comments on an earlier draft. We thank the anonymous referee for a careful reading and helpful comments.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","doi":"10.1007/s10959-023-01275-4","arxiv":1,"title":"Spectrum of Lévy–Khintchine random laplacian matrices","isi":1,"day":"01","language":[{"iso":"eng"}],"_id":"13975","publication_identifier":{"issn":["0894-9840"],"eissn":["1572-9230"]},"supplementarymaterial":"yes","intvolume":"        37","file_date_updated":"2024-07-22T09:41:21Z","das_tickbox":"1","date_updated":"2026-10-16T08:30:34Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ddc":["510"],"date_published":"2024-03-01T00:00:00Z","month":"03","external_id":{"arxiv":["2210.07927"],"isi":["001038341000001"]},"author":[{"full_name":"Campbell, Andrew J","last_name":"Campbell","id":"582b06a9-1f1c-11ee-b076-82ffce00dde4","first_name":"Andrew J"},{"first_name":"Sean","last_name":"O’Rourke","full_name":"O’Rourke, Sean"}],"oa":1,"has_accepted_license":"1","status":"public","department":[{"_id":"LaEr"}],"year":"2024","citation":{"ista":"Campbell AJ, O’Rourke S. 2024. Spectrum of Lévy–Khintchine random laplacian matrices. Journal of Theoretical Probability. 37, 933–973.","chicago":"Campbell, Andrew J, and Sean O’Rourke. “Spectrum of Lévy–Khintchine Random Laplacian Matrices.” <i>Journal of Theoretical Probability</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s10959-023-01275-4\">https://doi.org/10.1007/s10959-023-01275-4</a>.","ieee":"A. J. Campbell and S. O’Rourke, “Spectrum of Lévy–Khintchine random laplacian matrices,” <i>Journal of Theoretical Probability</i>, vol. 37. Springer Nature, pp. 933–973, 2024.","mla":"Campbell, Andrew J., and Sean O’Rourke. “Spectrum of Lévy–Khintchine Random Laplacian Matrices.” <i>Journal of Theoretical Probability</i>, vol. 37, Springer Nature, 2024, pp. 933–73, doi:<a href=\"https://doi.org/10.1007/s10959-023-01275-4\">10.1007/s10959-023-01275-4</a>.","ama":"Campbell AJ, O’Rourke S. Spectrum of Lévy–Khintchine random laplacian matrices. <i>Journal of Theoretical Probability</i>. 2024;37:933-973. doi:<a href=\"https://doi.org/10.1007/s10959-023-01275-4\">10.1007/s10959-023-01275-4</a>","short":"A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability 37 (2024) 933–973.","apa":"Campbell, A. J., &#38; O’Rourke, S. (2024). Spectrum of Lévy–Khintchine random laplacian matrices. <i>Journal of Theoretical Probability</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10959-023-01275-4\">https://doi.org/10.1007/s10959-023-01275-4</a>"},"date_created":"2023-08-06T22:01:13Z"},{"external_id":{"isi":["001198019500001"]},"month":"07","has_accepted_license":"1","oa":1,"author":[{"full_name":"Campbell, Andrew J","first_name":"Andrew J","id":"582b06a9-1f1c-11ee-b076-82ffce00dde4","last_name":"Campbell"},{"first_name":"Sean","last_name":"O'Rourke","full_name":"O'Rourke, Sean"},{"orcid":"0000-0003-3493-121X","full_name":"Renfrew, David T","id":"4845BF6A-F248-11E8-B48F-1D18A9856A87","last_name":"Renfrew","first_name":"David T"}],"status":"public","year":"2024","citation":{"ieee":"A. J. Campbell, S. O’Rourke, and D. T. Renfrew, “The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation,” <i>International Mathematics Research Notices</i>, vol. 2024, no. 13. Oxford University Press, pp. 10189–10218, 2024.","ista":"Campbell AJ, O’Rourke S, Renfrew DT. 2024. The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. International Mathematics Research Notices. 2024(13), 10189–10218.","chicago":"Campbell, Andrew J, Sean O’Rourke, and David T Renfrew. “The Fractional Free Convolution of R-Diagonal Elements and Random Polynomials under Repeated Differentiation.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/imrn/rnae062\">https://doi.org/10.1093/imrn/rnae062</a>.","mla":"Campbell, Andrew J., et al. “The Fractional Free Convolution of R-Diagonal Elements and Random Polynomials under Repeated Differentiation.” <i>International Mathematics Research Notices</i>, vol. 2024, no. 13, Oxford University Press, 2024, pp. 10189–218, doi:<a href=\"https://doi.org/10.1093/imrn/rnae062\">10.1093/imrn/rnae062</a>.","short":"A.J. Campbell, S. O’Rourke, D.T. Renfrew, International Mathematics Research Notices 2024 (2024) 10189–10218.","apa":"Campbell, A. J., O’Rourke, S., &#38; Renfrew, D. T. (2024). The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnae062\">https://doi.org/10.1093/imrn/rnae062</a>","ama":"Campbell AJ, O’Rourke S, Renfrew DT. The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. <i>International Mathematics Research Notices</i>. 2024;2024(13):10189-10218. doi:<a href=\"https://doi.org/10.1093/imrn/rnae062\">10.1093/imrn/rnae062</a>"},"date_created":"2024-07-21T22:01:01Z","department":[{"_id":"LaEr"}],"title":"The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation","_id":"17281","language":[{"iso":"eng"}],"issue":"13","isi":1,"day":"01","das_tickbox":"0","supplementarymaterial":"yes","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"intvolume":"      2024","file_date_updated":"2024-07-22T06:40:19Z","date_published":"2024-07-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-16T08:32:45Z","ddc":["510"],"quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","publication":"International Mathematics Research Notices","researchdata_availability":"no","article_type":"original","abstract":[{"text":"We extend the free convolution of Brown measures of R-diagonal elements introduced by Kösters and Tikhomirov [ 28] to fractional powers. We then show how this fractional free convolution arises naturally when studying the roots of random polynomials with independent coefficients under repeated differentiation. When the proportion of derivatives to the degree approaches one, we establish central limit theorem-type behavior and discuss stable distributions.","lang":"eng"}],"file":[{"date_updated":"2024-07-22T06:40:19Z","date_created":"2024-07-22T06:40:19Z","access_level":"open_access","content_type":"application/pdf","file_id":"17288","success":1,"creator":"dernst","file_size":1233508,"checksum":"f36a7dbf53f23d5833db711052e69b49","file_name":"2024_IMRN_Campbell.pdf","relation":"main_file"}],"doi":"10.1093/imrn/rnae062","acknowledgement":"This work was supported by the National Science Foundation [Grant No. DMS-2143142 to S.O.]; and the European Research Council [Grant No. 101020331].The third author acknowledges the support of the University of Colorado Boulder, where a portion of this work was completed. The authors thank Martin Auer, Vadim Gorin, Brian Hall, and Noah Williams for comments, corrections, and references. The authors also wish to thank the anonymous referees for useful feedback and corrections.","volume":2024,"page":"10189-10218","corr_author":"1","oa_version":"Published Version","publication_status":"published","publisher":"Oxford University Press","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","type":"journal_article","fulldoi":"https://doi.org/10.1093/imrn/rnae062"},{"month":"04","external_id":{"isi":["001118972500001"],"arxiv":["2210.12060"]},"author":[{"id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni","first_name":"Giorgio","full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992"},{"first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"first_name":"Dominik J","last_name":"Schröder","id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J"}],"oa":1,"status":"public","department":[{"_id":"LaEr"}],"citation":{"ista":"Cipolloni G, Erdös L, Schröder DJ. 2024. Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. 188, 1131–1182.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Mesoscopic Central Limit Theorem for Non-Hermitian Random Matrices.” <i>Probability Theory and Related Fields</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00440-023-01229-1\">https://doi.org/10.1007/s00440-023-01229-1</a>.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Mesoscopic central limit theorem for non-Hermitian random matrices,” <i>Probability Theory and Related Fields</i>, vol. 188. Springer Nature, pp. 1131–1182, 2024.","ama":"Cipolloni G, Erdös L, Schröder DJ. Mesoscopic central limit theorem for non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. 2024;188:1131-1182. doi:<a href=\"https://doi.org/10.1007/s00440-023-01229-1\">10.1007/s00440-023-01229-1</a>","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2024). Mesoscopic central limit theorem for non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00440-023-01229-1\">https://doi.org/10.1007/s00440-023-01229-1</a>","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.","mla":"Cipolloni, Giorgio, et al. “Mesoscopic Central Limit Theorem for Non-Hermitian Random Matrices.” <i>Probability Theory and Related Fields</i>, vol. 188, Springer Nature, 2024, pp. 1131–82, doi:<a href=\"https://doi.org/10.1007/s00440-023-01229-1\">10.1007/s00440-023-01229-1</a>."},"date_created":"2023-10-08T22:01:17Z","year":"2024","arxiv":1,"title":"Mesoscopic central limit theorem for non-Hermitian random matrices","day":"01","isi":1,"_id":"14408","language":[{"iso":"eng"}],"supplementarymaterial":"yes","intvolume":"       188","publication_identifier":{"issn":["0178-8051"],"eissn":["1432-2064"]},"das_tickbox":"0","date_published":"2024-04-01T00:00:00Z","date_updated":"2026-10-16T08:31:03Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_processing_charge":"No","quality_controlled":"1","abstract":[{"lang":"eng","text":"We prove that the mesoscopic linear statistics ∑if(na(σi−z0)) of the eigenvalues {σi}i of large n×n non-Hermitian random matrices with complex centred i.i.d. entries are asymptotically Gaussian for any H20-functions f around any point z0 in the bulk of the spectrum on any mesoscopic scale 0<a<1/2. This extends our previous result (Cipolloni et al. in Commun Pure Appl Math, 2019. arXiv:1912.04100), that was valid on the macroscopic scale, a=0\r\n, to cover the entire mesoscopic regime. The main novelty is a local law for the product of resolvents for the Hermitization of X at spectral parameters z1,z2 with an improved error term in the entire mesoscopic regime |z1−z2|≫n−1/2. The proof is dynamical; it relies on a recursive tandem of the characteristic flow method and the Green function comparison idea combined with a separation of the unstable mode of the underlying stability operator."}],"article_type":"original","researchdata_availability":"no","publication":"Probability Theory and Related Fields","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"}],"acknowledgement":"The authors are grateful to Joscha Henheik for his help with the formulas in Appendix B.\r\nLászló Erdős supported by ERC Advanced Grant “RMTBeyond” No. 101020331. Dominik Schröder supported by the SNSF Ambizione Grant PZ00P2 209089.","doi":"10.1007/s00440-023-01229-1","page":"1131-1182","volume":188,"publication_status":"published","oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2210.12060"}],"publisher":"Springer Nature","fulldoi":"https://doi.org/10.1007/s00440-023-01229-1","ec_funded":1,"type":"journal_article"},{"doi":"10.1063/5.0209705","acknowledgement":"L.E. and Y.X. were supported by the ERC Advanced Grant “RMTBeyond” Grant No. 101020331.","quality_controlled":"1","article_processing_charge":"No","researchdata_availability":"not applicable","project":[{"call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"publication":"Journal of Mathematical Physics","article_type":"original","abstract":[{"lang":"eng","text":"We consider the spectral radius of a large random matrix X with independent, identically distributed entries. We show that its typical size is given by a precise three-term asymptotics with an optimal error term beyond the radius of the celebrated circular law. The coefficients in this asymptotics are universal but they differ from a similar asymptotics recently proved for the rightmost eigenvalue of X in Cipolloni et al., Ann. Probab. 51(6), 2192–2242 (2023). To access the more complicated spectral radius, we need to establish a new decorrelation mechanism for the low-lying singular values of X − z for different complex shift parameters z using the Dyson Brownian Motion."}],"publisher":"AIP Publishing","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2210.15643"}],"dataavailabilitystatement":"Data sharing is not applicable to this article as no new data were created or analyzed in this study.\r\n\r\n","type":"journal_article","fulldoi":"https://doi.org/10.1063/5.0209705","ec_funded":1,"volume":65,"article_number":"063302","corr_author":"1","oa_version":"Preprint","publication_status":"published","status":"public","year":"2024","date_created":"2024-08-04T22:01:22Z","citation":{"chicago":"Cipolloni, Giorgio, László Erdös, and Yuanyuan Xu. “Precise Asymptotics for the Spectral Radius of a Large Random Matrix.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2024. <a href=\"https://doi.org/10.1063/5.0209705\">https://doi.org/10.1063/5.0209705</a>.","ista":"Cipolloni G, Erdös L, Xu Y. 2024. Precise asymptotics for the spectral radius of a large random matrix. Journal of Mathematical Physics. 65(6), 063302.","ieee":"G. Cipolloni, L. Erdös, and Y. Xu, “Precise asymptotics for the spectral radius of a large random matrix,” <i>Journal of Mathematical Physics</i>, vol. 65, no. 6. AIP Publishing, 2024.","ama":"Cipolloni G, Erdös L, Xu Y. Precise asymptotics for the spectral radius of a large random matrix. <i>Journal of Mathematical Physics</i>. 2024;65(6). doi:<a href=\"https://doi.org/10.1063/5.0209705\">10.1063/5.0209705</a>","short":"G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).","apa":"Cipolloni, G., Erdös, L., &#38; Xu, Y. (2024). Precise asymptotics for the spectral radius of a large random matrix. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0209705\">https://doi.org/10.1063/5.0209705</a>","mla":"Cipolloni, Giorgio, et al. “Precise Asymptotics for the Spectral Radius of a Large Random Matrix.” <i>Journal of Mathematical Physics</i>, vol. 65, no. 6, 063302, AIP Publishing, 2024, doi:<a href=\"https://doi.org/10.1063/5.0209705\">10.1063/5.0209705</a>."},"department":[{"_id":"LaEr"}],"external_id":{"isi":["001252240700002"],"arxiv":["2210.15643"]},"month":"06","oa":1,"author":[{"orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"orcid":"0000-0003-1559-1205","full_name":"Xu, Yuanyuan","id":"7902bdb1-a2a4-11eb-a164-c9216f71aea3","last_name":"Xu","first_name":"Yuanyuan"}],"das_tickbox":"1","supplementarymaterial":"yes","intvolume":"        65","publication_identifier":{"issn":["0022-2488"]},"date_published":"2024-06-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-16T08:33:32Z","title":"Precise asymptotics for the spectral radius of a large random matrix","arxiv":1,"language":[{"iso":"eng"}],"_id":"17375","isi":1,"issue":"6","day":"01"},{"status":"public","citation":{"mla":"Erdös, László, and Benjamin McKenna. “Extremal Statistics of Quadratic Forms of GOE/GUE Eigenvectors.” <i>Annals of Applied Probability</i>, vol. 34, no. 1B, Institute of Mathematical Statistics, 2024, pp. 1623–62, doi:<a href=\"https://doi.org/10.1214/23-AAP2000\">10.1214/23-AAP2000</a>.","apa":"Erdös, L., &#38; McKenna, B. (2024). Extremal statistics of quadratic forms of GOE/GUE eigenvectors. <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-AAP2000\">https://doi.org/10.1214/23-AAP2000</a>","short":"L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.","ama":"Erdös L, McKenna B. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. <i>Annals of Applied Probability</i>. 2024;34(1B):1623-1662. doi:<a href=\"https://doi.org/10.1214/23-AAP2000\">10.1214/23-AAP2000</a>","ieee":"L. Erdös and B. McKenna, “Extremal statistics of quadratic forms of GOE/GUE eigenvectors,” <i>Annals of Applied Probability</i>, vol. 34, no. 1B. Institute of Mathematical Statistics, pp. 1623–1662, 2024.","ista":"Erdös L, McKenna B. 2024. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. 34(1B), 1623–1662.","chicago":"Erdös, László, and Benjamin McKenna. “Extremal Statistics of Quadratic Forms of GOE/GUE Eigenvectors.” <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics, 2024. <a href=\"https://doi.org/10.1214/23-AAP2000\">https://doi.org/10.1214/23-AAP2000</a>."},"date_created":"2024-02-25T23:00:56Z","year":"2024","department":[{"_id":"LaEr"}],"external_id":{"isi":["001163006100021"],"arxiv":["2208.12206"]},"month":"02","oa":1,"author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"orcid":"0000-0003-2625-495X","full_name":"McKenna, Benjamin","id":"b0cc634c-d549-11ee-96c8-87338c7ad808","last_name":"McKenna","first_name":"Benjamin"}],"das_tickbox":"0","supplementarymaterial":"yes","publication_identifier":{"issn":["1050-5164"]},"intvolume":"        34","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-02-01T00:00:00Z","date_updated":"2026-10-16T08:33:55Z","title":"Extremal statistics of quadratic forms of GOE/GUE eigenvectors","arxiv":1,"language":[{"iso":"eng"}],"_id":"15025","day":"01","issue":"1B","isi":1,"doi":"10.1214/23-AAP2000","acknowledgement":"The first author was supported by the ERC Advanced Grant “RMTBeyond” No. 101020331. The second author was supported by Fulbright Austria and the Austrian Marshall Plan Foundation.","quality_controlled":"1","article_processing_charge":"No","publication":"Annals of Applied Probability","project":[{"call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"researchdata_availability":"no","article_type":"original","abstract":[{"lang":"eng","text":"We consider quadratic forms of deterministic matrices A evaluated at the random eigenvectors of a large N×N GOE or GUE matrix, or equivalently evaluated at the columns of a Haar-orthogonal or Haar-unitary random matrix. We prove that, as long as the deterministic matrix has rank much smaller than √N, the distributions of the extrema of these quadratic forms are asymptotically the same as if the eigenvectors were independent Gaussians. This reduces the problem to Gaussian computations, which we carry out in several cases to illustrate our result, finding Gumbel or Weibull limiting distributions depending on the signature of A. Our result also naturally applies to the eigenvectors of any invariant ensemble."}],"publisher":"Institute of Mathematical Statistics","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2208.12206","open_access":"1"}],"ec_funded":1,"fulldoi":"https://doi.org/10.1214/23-AAP2000","type":"journal_article","page":"1623-1662","volume":34,"corr_author":"1","publication_status":"published","oa_version":"Preprint"},{"ddc":["519"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-16T08:35:03Z","date_published":"2024-06-26T00:00:00Z","supplementarymaterial":"no","publication_identifier":{"issn":["2663-337X"]},"file_date_updated":"2024-06-26T12:44:53Z","OA_place":"publisher","das_tickbox":"0","day":"26","language":[{"iso":"eng"}],"_id":"17164","keyword":["Random Matrices","Spectrum","Central Limit Theorem","Resolvent","Free Probability"],"title":"Central limit theorems for random matrices: From resolvents to free probability","doi_confirm":"1","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"year":"2024","citation":{"ieee":"J. Reker, “Central limit theorems for random matrices: From resolvents to free probability,” Institute of Science and Technology Austria, 2024.","ista":"Reker J. 2024. Central limit theorems for random matrices: From resolvents to free probability. Institute of Science and Technology Austria.","chicago":"Reker, Jana. “Central Limit Theorems for Random Matrices: From Resolvents to Free Probability.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:17164\">https://doi.org/10.15479/at:ista:17164</a>.","mla":"Reker, Jana. <i>Central Limit Theorems for Random Matrices: From Resolvents to Free Probability</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:17164\">10.15479/at:ista:17164</a>.","short":"J. Reker, Central Limit Theorems for Random Matrices: From Resolvents to Free Probability, Institute of Science and Technology Austria, 2024.","apa":"Reker, J. (2024). <i>Central limit theorems for random matrices: From resolvents to free probability</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:17164\">https://doi.org/10.15479/at:ista:17164</a>","ama":"Reker J. Central limit theorems for random matrices: From resolvents to free probability. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:17164\">10.15479/at:ista:17164</a>"},"date_created":"2024-06-24T11:23:29Z","status":"public","author":[{"first_name":"Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","last_name":"Reker","full_name":"Reker, Jana"}],"oa":1,"has_accepted_license":"1","degree_awarded":"PhD","month":"06","type":"dissertation","fulldoi":"https://doi.org/10.15479/at:ista:17164","ec_funded":1,"publisher":"Institute of Science and Technology Austria","tmp":{"image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode"},"oa_version":"Published Version","publication_status":"published","corr_author":"1","alternative_title":["ISTA Thesis"],"page":"206","related_material":{"record":[{"id":"17173","status":"public","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"11135"},{"status":"public","relation":"part_of_dissertation","id":"17174"},{"id":"17047","relation":"part_of_dissertation","status":"public"},{"id":"17154","relation":"part_of_dissertation","status":"public"}]},"supervisor":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"}],"doi":"10.15479/at:ista:17164","file":[{"file_size":2783027,"creator":"jreker","file_name":"ISTA_Thesis_JReker.pdf","checksum":"fb16d86e1f2753dc3a9e14d2bdfd84cd","file_id":"17176","relation":"main_file","date_created":"2024-06-26T12:39:36Z","date_updated":"2024-06-26T12:44:53Z","content_type":"application/pdf","access_level":"open_access"},{"date_updated":"2024-06-26T12:44:53Z","date_created":"2024-06-26T12:39:42Z","content_type":"application/zip","access_level":"closed","file_size":3054878,"creator":"jreker","file_name":"ISTA_Thesis_JReker_SourceFiles.zip","checksum":"cb1e54009d47c1dcf5b866c4566fa27f","file_id":"17177","relation":"source_file"}],"abstract":[{"text":"This thesis is structured into two parts. In the first part, we consider the random\r\nvariable X := Tr(f1(W)A1 . . . fk(W)Ak) where W is an N × N Hermitian Wigner matrix, k ∈ N, and we choose (possibly N-dependent) regular functions f1, . . . , fk as well as\r\nbounded deterministic matrices A1, . . . , Ak. In this context, we prove a functional central\r\nlimit theorem on macroscopic and mesoscopic scales, showing that the fluctuations of X\r\naround its expectation are Gaussian and that the limiting covariance structure is given\r\nby a deterministic recursion. We further give explicit error bounds in terms of the scaling\r\nof f1, . . . , fk and the number of traceless matrices among A1, . . . , Ak, thus extending\r\nthe results of Cipolloni, Erdős and Schröder [40] to products of arbitrary length k ≥ 2.\r\nAnalyzing the underlying combinatorics leads to a non-recursive formula for the variance\r\nof X as well as the covariance of X and Y := Tr(fk+1(W)Ak+1 . . . fk+ℓ(W)Ak+ℓ) of similar\r\nbuild. When restricted to polynomials, these formulas reproduce recent results of Male,\r\nMingo, Peché, and Speicher [107], showing that the underlying combinatorics of noncrossing partitions and annular non-crossing permutations continue to stay valid beyond\r\nthe setting of second-order free probability theory. As an application, we consider the\r\nfluctuation of Tr(eitW A1e\r\n−itW A2)/N around its thermal value Tr(A1) Tr(A2)/N2 when t\r\nis large and give an explicit formula for the variance.\r\nThe second part of the thesis collects three smaller projects focusing on different random\r\nmatrix models. In the first project, we show that a class of weakly perturbed Hamiltonians\r\nof the form Hλ = H0 + λW, where W is a Wigner matrix, exhibits prethermalization.\r\nThat is, the time evolution generated by Hλ relaxes to its ultimate thermal state via an\r\nintermediate prethermal state with a lifetime of order λ\r\n−2\r\n. As the main result, we obtain\r\na general relaxation formula, expressing the perturbed dynamics via the unperturbed\r\ndynamics and the ultimate thermal state. The proof relies on a two-resolvent global law\r\nfor the deformed Wigner matrix Hλ.\r\nThe second project focuses on correlated random matrices, more precisely on a correlated N × N Hermitian random matrix with a polynomially decaying metric correlation\r\nstructure. A trivial a priori bound shows that the operator norm of this model is stochastically dominated by √\r\nN. However, by calculating the trace of the moments of the matrix\r\nand using the summable decay of the cumulants, the norm estimate can be improved to a\r\nbound of order one.\r\nIn the third project, we consider a multiplicative perturbation of the form UA(t) where U\r\nis a unitary random matrix and A = diag(t, 1, ..., 1). This so-called UA model was\r\nfirst introduced by Fyodorov [73] for its applications in scattering theory. We give a\r\ngeneral description of the eigenvalue trajectories obtained by varying the parameter t and\r\nintroduce a flow of deterministic domains that separates the outlier resulting from the\r\nrank-one perturbation from the typical eigenvalues for all sub-critical timescales. The\r\nresults are obtained under generic assumptions on U that hold for various unitary random\r\nmatrices, including the circular unitary ensemble (CUE) in the original formulation of\r\nthe model.","lang":"eng"}],"researchdata_availability":"no","project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"article_processing_charge":"No"},{"project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"researchdata_availability":"not applicable","publication":"Journal of Functional Analysis","abstract":[{"lang":"eng","text":"We consider large non-Hermitian NxN matrices with an additive independent, identically distributed (i.i.d.) noise for each matrix elements. We show that already a small noise of variance 1/N completely thermalises the bulk singular vectors, in particular they satisfy the strong form of Quantum Unique Ergodicity (QUE) with an optimal speed of convergence. In physics terms, we thus extend the Eigenstate Thermalisation Hypothesis, formulated originally by Deutsch [34] and proven for Wigner matrices in [23], to arbitrary non-Hermitian matrices with an i.i.d. noise. As a consequence we obtain an optimal lower bound on the diagonal overlaps of the corresponding non-Hermitian eigenvectors. This quantity, also known as the (square of the) eigenvalue condition number measuring the sensitivity of the eigenvalue to small perturbations, has notoriously escaped rigorous treatment beyond the explicitly computable Ginibre ensemble apart from the very recent upper bounds given in [7] and [45]. As a key tool, we develop a new systematic decomposition of general observables in random matrix theory that governs the size of products of resolvents with deterministic matrices in between."}],"article_type":"original","quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","doi":"10.1016/j.jfa.2024.110495","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nSupported by the SNSF Ambizione Grant PZ00P2_209089.","file":[{"relation":"main_file","file_name":"2025_JourFunctionalAnalysis_Cipolloni.pdf","creator":"dernst","checksum":"07d3f73e0c56e68eb110851842c22ee0","file_size":1374854,"file_id":"19891","success":1,"content_type":"application/pdf","access_level":"open_access","date_updated":"2025-06-24T13:14:21Z","date_created":"2025-06-24T13:14:21Z"}],"corr_author":"1","publication_status":"published","oa_version":"Published Version","article_number":"110495","volume":287,"dataavailabilitystatement":"No data was used for the research described in the article.","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110495","ec_funded":1,"type":"journal_article","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publisher":"Elsevier","scopus_import":"1","oa":1,"has_accepted_license":"1","author":[{"orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni"},{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"first_name":"Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856"}],"external_id":{"isi":["001325502400001"]},"month":"08","citation":{"ieee":"G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices,” <i>Journal of Functional Analysis</i>, vol. 287, no. 4. Elsevier, 2024.","ista":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. 2024. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 287(4), 110495.","chicago":"Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">https://doi.org/10.1016/j.jfa.2024.110495</a>.","mla":"Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” <i>Journal of Functional Analysis</i>, vol. 287, no. 4, 110495, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">10.1016/j.jfa.2024.110495</a>.","apa":"Cipolloni, G., Erdös, L., Henheik, S. J., &#38; Schröder, D. J. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">https://doi.org/10.1016/j.jfa.2024.110495</a>","short":"G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).","ama":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. <i>Journal of Functional Analysis</i>. 2024;287(4). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110495\">10.1016/j.jfa.2024.110495</a>"},"date_created":"2024-05-26T22:00:57Z","OA_type":"hybrid","year":"2024","department":[{"_id":"LaEr"}],"status":"public","_id":"17049","language":[{"iso":"eng"}],"day":"15","isi":1,"issue":"4","title":"Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-08-15T00:00:00Z","ddc":["510"],"date_updated":"2026-10-16T08:36:18Z","OA_place":"publisher","das_tickbox":"1","file_date_updated":"2025-06-24T13:14:21Z","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"supplementarymaterial":"yes","intvolume":"       287"},{"project":[{"call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"researchdata_availability":"no","publication":"Communications on Pure and Applied Mathematics","abstract":[{"text":"We consider N×N non-Hermitian random matrices of the form X+A, where A is a general deterministic matrix and N−−√X consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, i.e. that the local density of eigenvalues is bounded by N1+o(1) and (ii) that the expected condition number of any bulk eigenvalue is bounded by N1+o(1); both results are optimal up to the factor No(1). The latter result complements the very recent matching lower bound obtained in [15] (arXiv:2301.03549) and improves the N-dependence of the upper bounds in [5,6,32] (arXiv:1906.11819, arXiv:2005.08930, arXiv:2005.08908). Our main ingredient, a near-optimal lower tail estimate for the small singular values of X+A−z, is of independent interest.","lang":"eng"}],"article_type":"original","quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","doi":"10.1002/cpa.22201","acknowledgement":"László Erdős is partially supported by ERC Advanced Grant “RMTBeyond” No. 101020331. Hong Chang Ji is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","file":[{"date_updated":"2025-01-09T09:36:41Z","date_created":"2025-01-09T09:36:41Z","content_type":"application/pdf","access_level":"open_access","checksum":"fbcc9cc7bf274f024e4f4afc9c208f96","creator":"dernst","file_name":"2024_CommPureApplMath_Erdoes.pdf","file_size":566963,"file_id":"18803","success":1,"relation":"main_file"}],"corr_author":"1","publication_status":"published","oa_version":"Published Version","page":"3785-3840","volume":77,"fulldoi":"https://doi.org/10.1002/cpa.22201","ec_funded":1,"type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png"},"publisher":"Wiley","scopus_import":"1","has_accepted_license":"1","oa":1,"author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"full_name":"Ji, Hong Chang","id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d","last_name":"Ji","first_name":"Hong Chang"}],"external_id":{"isi":["001217139900001"],"arxiv":["2301.04981"]},"month":"09","date_created":"2024-05-12T22:01:02Z","citation":{"apa":"Erdös, L., &#38; Ji, H. C. (2024). Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.22201\">https://doi.org/10.1002/cpa.22201</a>","short":"L. Erdös, H.C. Ji, Communications on Pure and Applied Mathematics 77 (2024) 3785–3840.","ama":"Erdös L, Ji HC. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. <i>Communications on Pure and Applied Mathematics</i>. 2024;77(9):3785-3840. doi:<a href=\"https://doi.org/10.1002/cpa.22201\">10.1002/cpa.22201</a>","mla":"Erdös, László, and Hong Chang Ji. “Wegner Estimate and Upper Bound on the Eigenvalue Condition Number of Non-Hermitian Random Matrices.” <i>Communications on Pure and Applied Mathematics</i>, vol. 77, no. 9, Wiley, 2024, pp. 3785–840, doi:<a href=\"https://doi.org/10.1002/cpa.22201\">10.1002/cpa.22201</a>.","ieee":"L. Erdös and H. C. Ji, “Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices,” <i>Communications on Pure and Applied Mathematics</i>, vol. 77, no. 9. Wiley, pp. 3785–3840, 2024.","chicago":"Erdös, László, and Hong Chang Ji. “Wegner Estimate and Upper Bound on the Eigenvalue Condition Number of Non-Hermitian Random Matrices.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2024. <a href=\"https://doi.org/10.1002/cpa.22201\">https://doi.org/10.1002/cpa.22201</a>.","ista":"Erdös L, Ji HC. 2024. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 77(9), 3785–3840."},"year":"2024","OA_type":"hybrid","department":[{"_id":"LaEr"}],"status":"public","language":[{"iso":"eng"}],"_id":"15378","day":"01","isi":1,"issue":"9","title":"Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices","arxiv":1,"date_updated":"2026-10-16T08:35:46Z","date_published":"2024-09-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ddc":["510"],"das_tickbox":"0","OA_place":"publisher","file_date_updated":"2025-01-09T09:36:41Z","intvolume":"        77","publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"supplementarymaterial":"yes"},{"title":"Multi-point functional central limit theorem for Wigner matrices","arxiv":1,"language":[{"iso":"eng"}],"_id":"18762","isi":1,"day":"20","das_tickbox":"0","OA_place":"publisher","supplementarymaterial":"no","intvolume":"        29","publication_identifier":{"eissn":["1083-6489"]},"file_date_updated":"2025-01-08T08:44:03Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-12-20T00:00:00Z","date_updated":"2026-10-16T08:38:43Z","ddc":["510"],"external_id":{"isi":["001381599200001"],"arxiv":["2307.11028"]},"month":"12","has_accepted_license":"1","oa":1,"author":[{"first_name":"Jana","last_name":"Reker","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","full_name":"Reker, Jana"}],"status":"public","year":"2024","OA_type":"gold","date_created":"2025-01-05T23:01:58Z","citation":{"chicago":"Reker, Jana. “Multi-Point Functional Central Limit Theorem for Wigner Matrices.” <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics, 2024. <a href=\"https://doi.org/10.1214/24-EJP1247\">https://doi.org/10.1214/24-EJP1247</a>.","ista":"Reker J. 2024. Multi-point functional central limit theorem for Wigner matrices. Electronic Journal of Probability. 29, 191.","ieee":"J. Reker, “Multi-point functional central limit theorem for Wigner matrices,” <i>Electronic Journal of Probability</i>, vol. 29. Institute of Mathematical Statistics, 2024.","ama":"Reker J. Multi-point functional central limit theorem for Wigner matrices. <i>Electronic Journal of Probability</i>. 2024;29. doi:<a href=\"https://doi.org/10.1214/24-EJP1247\">10.1214/24-EJP1247</a>","apa":"Reker, J. (2024). Multi-point functional central limit theorem for Wigner matrices. <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/24-EJP1247\">https://doi.org/10.1214/24-EJP1247</a>","short":"J. Reker, Electronic Journal of Probability 29 (2024).","mla":"Reker, Jana. “Multi-Point Functional Central Limit Theorem for Wigner Matrices.” <i>Electronic Journal of Probability</i>, vol. 29, 191, Institute of Mathematical Statistics, 2024, doi:<a href=\"https://doi.org/10.1214/24-EJP1247\">10.1214/24-EJP1247</a>."},"department":[{"_id":"LaEr"}],"volume":29,"article_number":"191","corr_author":"1","oa_version":"Published Version","publication_status":"published","publisher":"Institute of Mathematical Statistics","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","DOAJ_listed":"1","type":"journal_article","ec_funded":1,"fulldoi":"https://doi.org/10.1214/24-EJP1247","quality_controlled":"1","article_processing_charge":"Yes","researchdata_availability":"no","publication":"Electronic Journal of Probability","project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"abstract":[{"lang":"eng","text":"Consider the random variable $\\mathrm{Tr}( f_1(W)A_1\\dots f_k(W)A_k)$ where $W$ is an $N\\times N$ Hermitian Wigner matrix, $k\\in\\mathbb{N}$, and choose (possibly $N$-dependent) regular functions $f_1,\\dots, f_k$ as well as bounded deterministic matrices $A_1,\\dots,A_k$. We give a functional central limit theorem showing that the fluctuations around the expectation are Gaussian. Moreover, we determine the limiting covariance structure and give explicit error bounds in terms of the scaling of $f_1,\\dots,f_k$ and the number of traceless matrices among $A_1,\\dots,A_k$, thus extending the results of [Cipolloni, Erdős, Schröder 2023] to products of arbitrary length $k\\geq2$. As an application, we consider the fluctuation of $\\mathrm{Tr}(\\mathrm{e}^{\\mathrm{i} tW}A_1\\mathrm{e}^{-\\mathrm{i} tW}A_2)$ around its thermal value $\\mathrm{Tr}(A_1)\\mathrm{Tr}(A_2)$ when $t$ is large and give an explicit formula for the variance."}],"article_type":"original","file":[{"relation":"main_file","file_size":812428,"checksum":"67178feaa8630a332599d3037a3fe70e","creator":"dernst","file_name":"2024_ElectrJournProbability_Reker.pdf","file_id":"18773","success":1,"content_type":"application/pdf","access_level":"open_access","date_created":"2025-01-08T08:44:03Z","date_updated":"2025-01-08T08:44:03Z"}],"doi":"10.1214/24-EJP1247","acknowledgement":"I am very grateful to László Erdős for suggesting the topic and many valuable discussions during my work on the project. I would also like to thank the two anonymous referees for their careful reading of the manuscript and detailed feedback.\r\nPartially supported by ERC Advanced Grants “RMTBeyond” No. 101020331 and “LDRaM” No. 884584.","related_material":{"record":[{"id":"17173","relation":"earlier_version","status":"public"}]}},{"volume":27,"article_number":"10","oa_version":"Published Version","publication_status":"published","scopus_import":"1","publisher":"Springer Nature","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"type":"journal_article","fulldoi":"https://doi.org/10.1007/s11040-024-09483-y","ec_funded":1,"dataavailabilitystatement":"Data sharing not applicable to this article as no datasets were generated or analysed during the current study.","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","abstract":[{"text":"We compute the deterministic approximation for mixed fluctuation moments of products of deterministic matrices and general Sobolev functions of Wigner matrices. Restricting to polynomials, our formulas reproduce recent results of Male et al. (Random Matrices Theory Appl. 11(2):2250015, 2022), showing that the underlying combinatorics of non-crossing partitions and annular non-crossing permutations continue to stay valid beyond the setting of second-order free probability theory. The formulas obtained further characterize the variance in the functional central limit theorem given in the recent companion paper (Reker in Preprint, arXiv:2204.03419, 2023). and thus allow identifying the fluctuation around the thermal value in certain thermalization problems.","lang":"eng"}],"article_type":"original","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"publication":"Mathematical Physics, Analysis and Geometry","researchdata_availability":"not applicable","file":[{"success":1,"file_id":"17175","checksum":"7d04318d66f765621bdcb648378d458e","file_size":1327596,"creator":"cchlebak","file_name":"2024_MathPhysAnaGeo_Reker.pdf","relation":"main_file","date_created":"2024-06-26T11:26:42Z","date_updated":"2024-06-26T11:26:42Z","access_level":"open_access","content_type":"application/pdf"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"17164"}]},"doi":"10.1007/s11040-024-09483-y","arxiv":1,"title":"Fluctuation moments for regular functions of Wigner Matrices","issue":"3","isi":1,"day":"20","language":[{"iso":"eng"}],"_id":"17154","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"intvolume":"        27","supplementarymaterial":"yes","file_date_updated":"2024-06-26T11:26:42Z","das_tickbox":"1","ddc":["519"],"date_updated":"2026-10-16T08:35:04Z","date_published":"2024-06-20T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"06","external_id":{"arxiv":["2307.11029"],"isi":["001251464300001"]},"author":[{"full_name":"Reker, Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","last_name":"Reker","first_name":"Jana"}],"oa":1,"has_accepted_license":"1","status":"public","department":[{"_id":"LaEr"}],"year":"2024","citation":{"chicago":"Reker, Jana. “Fluctuation Moments for Regular Functions of Wigner Matrices.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s11040-024-09483-y\">https://doi.org/10.1007/s11040-024-09483-y</a>.","ista":"Reker J. 2024. Fluctuation moments for regular functions of Wigner Matrices. Mathematical Physics, Analysis and Geometry. 27(3), 10.","ieee":"J. Reker, “Fluctuation moments for regular functions of Wigner Matrices,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 27, no. 3. Springer Nature, 2024.","ama":"Reker J. Fluctuation moments for regular functions of Wigner Matrices. <i>Mathematical Physics, Analysis and Geometry</i>. 2024;27(3). doi:<a href=\"https://doi.org/10.1007/s11040-024-09483-y\">10.1007/s11040-024-09483-y</a>","short":"J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).","apa":"Reker, J. (2024). Fluctuation moments for regular functions of Wigner Matrices. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-024-09483-y\">https://doi.org/10.1007/s11040-024-09483-y</a>","mla":"Reker, Jana. “Fluctuation Moments for Regular Functions of Wigner Matrices.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 27, no. 3, 10, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s11040-024-09483-y\">10.1007/s11040-024-09483-y</a>."},"date_created":"2024-06-21T09:31:17Z"},{"doi":"10.4310/ATMP.241031013250","related_material":{"record":[{"id":"19540","status":"public","relation":"dissertation_contains"}]},"acknowledgement":"LE and JH were supported by the ERC Advanced Grant łRMTBeyondž No. 101020331","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020"}],"researchdata_availability":"unclear","publication":"Advances in Theoretical and Mathematical Physics","article_type":"original","abstract":[{"lang":"eng","text":"We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables \r\n and \r\n in a mean field chaotic quantum system described by a random Wigner matrix as its Hamiltonian. We rigorously identify three time regimes separated by the physically relevant scrambling and relaxation times. The main feature of our analysis is that we express the error terms in the optimal Schatten (tracial) norms of the observables, allowing us to track the exact dependence of the errors on their rank. In particular, for significantly overlapping observables with low rank the OTOC is shown to exhibit a significant local maximum at the scrambling time, a feature that may not have been noticed in the physics literature before. Our main tool is a novel multi-resolvent local law with Schatten norms that unifies and improves previous local laws involving either the much cruder operator norm (cf. [10]) or the Hilbert-Schmidt norm (cf. [11])."}],"quality_controlled":"1","article_processing_charge":"No","type":"journal_article","ec_funded":1,"fulldoi":"https://doi.org/10.4310/ATMP.241031013250","publisher":"International Press of Boston","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2402.17609"}],"corr_author":"1","oa_version":"Preprint","publication_status":"published","volume":28,"page":"2025-2083","OA_type":"green","year":"2024","date_created":"2024-12-15T23:01:51Z","citation":{"mla":"Cipolloni, Giorgio, et al. “Out-of-Time-Ordered Correlators for Wigner Matrices.” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 28, no. 6, International Press of Boston, 2024, pp. 2025–83, doi:<a href=\"https://doi.org/10.4310/ATMP.241031013250\">10.4310/ATMP.241031013250</a>.","apa":"Cipolloni, G., Erdös, L., &#38; Henheik, S. J. (2024). Out-of-time-ordered correlators for Wigner matrices. <i>Advances in Theoretical and Mathematical Physics</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/ATMP.241031013250\">https://doi.org/10.4310/ATMP.241031013250</a>","short":"G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.","ama":"Cipolloni G, Erdös L, Henheik SJ. Out-of-time-ordered correlators for Wigner matrices. <i>Advances in Theoretical and Mathematical Physics</i>. 2024;28(6):2025-2083. doi:<a href=\"https://doi.org/10.4310/ATMP.241031013250\">10.4310/ATMP.241031013250</a>","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Out-of-time-ordered correlators for Wigner matrices,” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 28, no. 6. International Press of Boston, pp. 2025–2083, 2024.","ista":"Cipolloni G, Erdös L, Henheik SJ. 2024. Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. 28(6), 2025–2083.","chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Out-of-Time-Ordered Correlators for Wigner Matrices.” <i>Advances in Theoretical and Mathematical Physics</i>. International Press of Boston, 2024. <a href=\"https://doi.org/10.4310/ATMP.241031013250\">https://doi.org/10.4310/ATMP.241031013250</a>."},"department":[{"_id":"LaEr"}],"status":"public","oa":1,"author":[{"last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","first_name":"Giorgio","full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik"}],"external_id":{"arxiv":["2402.17609"]},"month":"10","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-10-30T00:00:00Z","date_updated":"2026-10-16T08:35:25Z","das_tickbox":"1","OA_place":"repository","supplementarymaterial":"unclear","publication_identifier":{"eissn":["1095-0753"],"issn":["1095-0761"]},"intvolume":"        28","language":[{"iso":"eng"}],"_id":"18656","issue":"6","day":"30","title":"Out-of-time-ordered correlators for Wigner matrices","arxiv":1},{"type":"journal_article","DOAJ_listed":"1","ec_funded":1,"fulldoi":"https://doi.org/10.3847/1538-4357/ad4708","publisher":"IOP Publishing","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","oa_version":"Published Version","publication_status":"published","volume":970,"article_number":"42","doi":"10.3847/1538-4357/ad4708","acknowledgement":"This project has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 101034413. S.\r\nB.D. acknowledges Prof. Jeroen Tromp at Princeton University for supporting a part of this work. S.M.H., S.B., and S.P. acknowledge support from the Department of Atomic Energy,\r\nGovernment of India, under Project Identification No. RTI 4002. The authors would like to thank the reviewer(s) and data editor for their constructive comments and suggestions. The\r\ngeneration of the stellar models was done using the Modules for Experiments in Stellar Astrophysics (MESA Paxton et al. 2011, 2013, 2015, 2018, 2019; we have used MESA version\r\nr22.05.1 for RG and r23.05.1 for SG models, MESA-SDK version x86_64-linux-22.6.1). The eigenfrequencies and eigenfunctions for this model were calculated using the GYRE\r\n(Townsend & Teitler 2013) code. The code to calculate the kernels and the splittings has been written completely in Python 3.8.16.","file":[{"relation":"main_file","creator":"dernst","checksum":"acb42a87deecbc9228fbbe6a48a37ec6","file_size":3912290,"file_name":"2024_AstrophysicalJourn_Bhattacharya.pdf","file_id":"17340","success":1,"content_type":"application/pdf","access_level":"open_access","date_created":"2024-07-29T11:02:48Z","date_updated":"2024-07-29T11:02:48Z"}],"publication":"Astrophysical Journal","researchdata_availability":"yes","project":[{"name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020"}],"article_type":"original","abstract":[{"lang":"eng","text":"Magnetic fields in the stellar interiors are key candidates to explain observed core rotation rates inside solar-like stars along their evolution. Recently, asteroseismic estimates of radial magnetic field amplitudes near the hydrogen-burning shell (H-shell) inside about 24 red giants (RGs) have been obtained by measuring frequency splittings from their power spectra. Using general Lorentz-stress (magnetic) kernels, we investigated the potential for detectability of near-surface magnetism in a 1.3 M⊙ star of supersolar metallicity as it evolves from a mid subgiant to a late subgiant into an RG. Based on these sensitivity kernels, we decompose an RG into three zones—deep core, H-shell, and near-surface. The subgiants instead required decomposition into an inner core, an outer core, and a near-surface layer. Additionally, we find that for a low-frequency g-dominated dipolar mode in the presence of a typical stable magnetic field, ∼25% of the frequency shift comes from the H-shell and the remaining from deeper layers. The ratio of the subsurface tangential field to the radial field in the H-burning shell decides if subsurface fields may be potentially detectable. For p-dominated dipole modes close to vmax, this ratio is around two orders of magnitude smaller in subgiant phases than the corresponding RG. Further, with the availability of magnetic kernels, we propose lower limits of field strengths in crucial layers in our stellar model during its evolutionary phases. The theoretical prescription outlined here provides the first formal way to devise inverse problems for stellar magnetism and can be seamlessly employed for slow rotators."}],"quality_controlled":"1","article_processing_charge":"Yes","ddc":["520"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-07-15T00:00:00Z","date_updated":"2026-10-16T08:51:03Z","das_tickbox":"0","supplementarymaterial":"yes","intvolume":"       970","publication_identifier":{"issn":["0004-637X"],"eissn":["1538-4357"]},"file_date_updated":"2024-07-29T11:02:48Z","language":[{"iso":"eng"}],"_id":"17326","issue":"1","isi":1,"day":"15","title":"Detectability of axisymmetric magnetic fields from the core to the surface of oscillating post-main-sequence stars","arxiv":1,"year":"2024","citation":{"apa":"Bhattacharya, S., Das, S. B., Bugnet, L. A., Panda, S., &#38; Hanasoge, S. M. (2024). Detectability of axisymmetric magnetic fields from the core to the surface of oscillating post-main-sequence stars. <i>Astrophysical Journal</i>. IOP Publishing. <a href=\"https://doi.org/10.3847/1538-4357/ad4708\">https://doi.org/10.3847/1538-4357/ad4708</a>","short":"S. Bhattacharya, S.B. Das, L.A. Bugnet, S. Panda, S.M. Hanasoge, Astrophysical Journal 970 (2024).","ama":"Bhattacharya S, Das SB, Bugnet LA, Panda S, Hanasoge SM. Detectability of axisymmetric magnetic fields from the core to the surface of oscillating post-main-sequence stars. <i>Astrophysical Journal</i>. 2024;970(1). doi:<a href=\"https://doi.org/10.3847/1538-4357/ad4708\">10.3847/1538-4357/ad4708</a>","mla":"Bhattacharya, Shatanik, et al. “Detectability of Axisymmetric Magnetic Fields from the Core to the Surface of Oscillating Post-Main-Sequence Stars.” <i>Astrophysical Journal</i>, vol. 970, no. 1, 42, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.3847/1538-4357/ad4708\">10.3847/1538-4357/ad4708</a>.","ieee":"S. Bhattacharya, S. B. Das, L. A. Bugnet, S. Panda, and S. M. Hanasoge, “Detectability of axisymmetric magnetic fields from the core to the surface of oscillating post-main-sequence stars,” <i>Astrophysical Journal</i>, vol. 970, no. 1. IOP Publishing, 2024.","ista":"Bhattacharya S, Das SB, Bugnet LA, Panda S, Hanasoge SM. 2024. Detectability of axisymmetric magnetic fields from the core to the surface of oscillating post-main-sequence stars. Astrophysical Journal. 970(1), 42.","chicago":"Bhattacharya, Shatanik, Srijan B Das, Lisa Annabelle Bugnet, Subrata Panda, and Shravan M. Hanasoge. “Detectability of Axisymmetric Magnetic Fields from the Core to the Surface of Oscillating Post-Main-Sequence Stars.” <i>Astrophysical Journal</i>. IOP Publishing, 2024. <a href=\"https://doi.org/10.3847/1538-4357/ad4708\">https://doi.org/10.3847/1538-4357/ad4708</a>."},"date_created":"2024-07-28T22:01:09Z","department":[{"_id":"LiBu"}],"status":"public","has_accepted_license":"1","oa":1,"author":[{"last_name":"Bhattacharya","first_name":"Shatanik","full_name":"Bhattacharya, Shatanik"},{"first_name":"Srijan B","last_name":"Das","id":"9ce7c423-dacf-11ed-8942-e09c6cb27149","full_name":"Das, Srijan B","orcid":"0000-0003-0896-7972"},{"id":"d9edb345-f866-11ec-9b37-d119b5234501","last_name":"Bugnet","first_name":"Lisa Annabelle","full_name":"Bugnet, Lisa Annabelle","orcid":"0000-0003-0142-4000"},{"full_name":"Panda, Subrata","first_name":"Subrata","last_name":"Panda"},{"last_name":"Hanasoge","first_name":"Shravan M.","full_name":"Hanasoge, Shravan M."}],"external_id":{"arxiv":["2404.17167"],"isi":["001270972500001"]},"month":"07"},{"page":"1060-1076","volume":534,"publication_status":"published","oa_version":"Published Version","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publisher":"Oxford University Press","scopus_import":"1","dataavailabilitystatement":"Table 1 is available at the CDS. Light curves used in this work are available at Mikulski Archive for Space Telescopes at the Space Telescope Science Institute (MAST)1. Other intermediate data products will be made available upon reasonable request.","fulldoi":"https://doi.org/10.1093/mnras/stae2053","type":"journal_article","DOAJ_listed":"1","quality_controlled":"1","article_processing_charge":"Yes","publication":"Monthly Notices of the Royal Astronomical Society","researchdata_availability":"yes","abstract":[{"lang":"eng","text":"Red Giant stars host solar-like oscillations which have mixed character, being sensitive to conditions both in the outer convection zone and deep within the interior. The properties of these modes are sensitive to both core rotation and magnetic fields. While asteroseismic studies of the former have been done on a large scale, studies of the latter are currently limited to tens of stars. We aim to produce the first large catalogue of both magnetic and rotational perturbations. We jointly constrain these parameters by devising an automated method for fitting the power spectra directly. We successfully apply the method to 302 low-luminosity red giants. We find a clear bimodality in core rotation rate. The primary peak is at δνrot = 0.32 μHz, and the secondary at δνrot = 0.47 μHz. Combining our results with literature values, we find that the percentage of stars rotating much more rapidly than the population average increases with evolutionary state. We measure magnetic splittings of 2σ significance in 23 stars. While the most extreme magnetic splitting values appear in stars with masses > 1.1M⊙, implying they formerly hosted a convective core, a small but statistically significant magnetic splitting is measured at lower masses. Asymmetry between the frequencies of a rotationally split multiplet has previously been used to diagnose the presence of a magnetic perturbation. We find that of the stars with a significant detection of magnetic perturbation, 43\\% do not show strong asymmetry. We find no strong evidence of correlation between the rotation and magnetic parameters."}],"article_type":"original","file":[{"file_id":"18182","success":1,"file_size":2813008,"creator":"dernst","checksum":"b79f3c6a5991516abbcc8d34fa4bfb5f","file_name":"2024_MonthlyNRoyalAstronSoc_Hatt.pdf","relation":"main_file","date_updated":"2024-10-07T09:14:03Z","date_created":"2024-10-07T09:14:03Z","access_level":"open_access","content_type":"application/pdf"}],"doi":"10.1093/mnras/stae2053","acknowledgement":"EJH, WJC, and GRD acknowledge the support of Science and Technology Facilities Council. MBN acknowledges support from the UK Space Agency. JMJO acknowledges support from NASA through the NASA Hubble Fellowship grant HST-HF2-51517.001, awarded by STScI (Space Telescope Science Institute), which is operated by the Association of Universities for Research in Astronomy, Incorporated, under NASA contract NAS5-26555. The authors acknowledge use of the Blue-BEAR HPC service at the University of Birmingham. This paper includes data collected by the Kepler mission and obtained from the MAST data archive at the Space Telescope Science Institute (STScI). Funding for the Kepler mission was provided by the NASA Science Mission Directorate. This work has made use of data from the European Space Agency (ESA) mission Gaia (https://www.cosmos.esa.int/web/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.cosmos.esa.int/web/gaia/dpac/consortium). Funding for the DPAC was provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement. This paper received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (CartographY GA. 804752). SD and JB acknowledge support from the Centre National d’Etudes Spatiales (CNES).","title":"Asteroseismic signatures of core magnetism and rotation in hundreds of low-luminosity red giants","arxiv":1,"_id":"18172","language":[{"iso":"eng"}],"day":"01","PlanS_conform":"1","isi":1,"issue":"2","OA_place":"publisher","das_tickbox":"1","file_date_updated":"2024-10-07T09:14:03Z","supplementarymaterial":"yes","intvolume":"       534","publication_identifier":{"issn":["0035-8711"],"eissn":["1365-2966"]},"date_updated":"2026-10-16T08:52:08Z","ddc":["520"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-10-01T00:00:00Z","external_id":{"arxiv":["2409.01157"],"isi":["001320536900011"]},"month":"10","has_accepted_license":"1","oa":1,"author":[{"first_name":"Emily J.","last_name":"Hatt","full_name":"Hatt, Emily J."},{"full_name":"Ong, J. M.Joel","first_name":"J. M.Joel","last_name":"Ong"},{"full_name":"Nielsen, Martin B.","last_name":"Nielsen","first_name":"Martin B."},{"last_name":"Chaplin","first_name":"William J.","full_name":"Chaplin, William J."},{"full_name":"Davies, Guy R.","last_name":"Davies","first_name":"Guy R."},{"first_name":"Sébastien","last_name":"Deheuvels","full_name":"Deheuvels, Sébastien"},{"full_name":"Ballot, Jérôme","last_name":"Ballot","first_name":"Jérôme"},{"full_name":"Li, Gang","last_name":"Li","first_name":"Gang"},{"orcid":"0000-0003-0142-4000","full_name":"Bugnet, Lisa Annabelle","first_name":"Lisa Annabelle","id":"d9edb345-f866-11ec-9b37-d119b5234501","last_name":"Bugnet"}],"status":"public","date_created":"2024-10-06T22:01:11Z","citation":{"mla":"Hatt, Emily J., et al. “Asteroseismic Signatures of Core Magnetism and Rotation in Hundreds of Low-Luminosity Red Giants.” <i>Monthly Notices of the Royal Astronomical Society</i>, vol. 534, no. 2, Oxford University Press, 2024, pp. 1060–76, doi:<a href=\"https://doi.org/10.1093/mnras/stae2053\">10.1093/mnras/stae2053</a>.","ama":"Hatt EJ, Ong JMJ, Nielsen MB, et al. Asteroseismic signatures of core magnetism and rotation in hundreds of low-luminosity red giants. <i>Monthly Notices of the Royal Astronomical Society</i>. 2024;534(2):1060-1076. doi:<a href=\"https://doi.org/10.1093/mnras/stae2053\">10.1093/mnras/stae2053</a>","short":"E.J. Hatt, J.M.J. Ong, M.B. Nielsen, W.J. Chaplin, G.R. Davies, S. Deheuvels, J. Ballot, G. Li, L.A. Bugnet, Monthly Notices of the Royal Astronomical Society 534 (2024) 1060–1076.","apa":"Hatt, E. J., Ong, J. M. J., Nielsen, M. B., Chaplin, W. J., Davies, G. R., Deheuvels, S., … Bugnet, L. A. (2024). Asteroseismic signatures of core magnetism and rotation in hundreds of low-luminosity red giants. <i>Monthly Notices of the Royal Astronomical Society</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/mnras/stae2053\">https://doi.org/10.1093/mnras/stae2053</a>","ista":"Hatt EJ, Ong JMJ, Nielsen MB, Chaplin WJ, Davies GR, Deheuvels S, Ballot J, Li G, Bugnet LA. 2024. Asteroseismic signatures of core magnetism and rotation in hundreds of low-luminosity red giants. Monthly Notices of the Royal Astronomical Society. 534(2), 1060–1076.","chicago":"Hatt, Emily J., J. M.Joel Ong, Martin B. Nielsen, William J. Chaplin, Guy R. Davies, Sébastien Deheuvels, Jérôme Ballot, Gang Li, and Lisa Annabelle Bugnet. “Asteroseismic Signatures of Core Magnetism and Rotation in Hundreds of Low-Luminosity Red Giants.” <i>Monthly Notices of the Royal Astronomical Society</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/mnras/stae2053\">https://doi.org/10.1093/mnras/stae2053</a>.","ieee":"E. J. Hatt <i>et al.</i>, “Asteroseismic signatures of core magnetism and rotation in hundreds of low-luminosity red giants,” <i>Monthly Notices of the Royal Astronomical Society</i>, vol. 534, no. 2. Oxford University Press, pp. 1060–1076, 2024."},"year":"2024","OA_type":"gold","department":[{"_id":"LiBu"}]}]