[{"degree_awarded":"PhD","corr_author":"1","publisher":"Institute of Science and Technology Austria","_id":"12368","oa_version":"Published Version","article_processing_charge":"No","alternative_title":["ISTA Thesis"],"related_material":{"record":[{"status":"public","id":"9350","relation":"part_of_dissertation"}]},"language":[{"iso":"eng"}],"day":"29","ddc":["570"],"supervisor":[{"orcid":"0000-0002-0912-4566","first_name":"Carl-Philipp J","full_name":"Heisenberg, Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87","last_name":"Heisenberg"}],"OA_place":"publisher","file":[{"creator":"cchlebak","checksum":"e54a3e69b83ebf166544164afd25608e","access_level":"open_access","file_size":14581024,"success":1,"content_type":"application/pdf","date_updated":"2023-01-25T10:52:46Z","file_id":"12369","date_created":"2023-01-25T10:52:46Z","file_name":"THESIS_FINAL_FArslan_pdfa.pdf","relation":"main_file"}],"ec_funded":1,"author":[{"last_name":"Arslan","id":"49DA7910-F248-11E8-B48F-1D18A9856A87","full_name":"Arslan, Feyza N","orcid":"0000-0001-5809-9566","first_name":"Feyza N"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","oa":1,"has_accepted_license":"1","date_created":"2023-01-25T10:43:24Z","month":"09","type":"dissertation","status":"public","citation":{"mla":"Arslan, Feyza N. <i>Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12153\">10.15479/at:ista:12153</a>.","short":"F.N. Arslan, Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows, Institute of Science and Technology Austria, 2022.","ama":"Arslan FN. Remodeling of E-cadherin-mediated contacts via cortical  flows. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12153\">10.15479/at:ista:12153</a>","apa":"Arslan, F. N. (2022). <i>Remodeling of E-cadherin-mediated contacts via cortical  flows</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12153\">https://doi.org/10.15479/at:ista:12153</a>","ista":"Arslan FN. 2022. Remodeling of E-cadherin-mediated contacts via cortical  flows. Institute of Science and Technology Austria.","ieee":"F. N. Arslan, “Remodeling of E-cadherin-mediated contacts via cortical  flows,” Institute of Science and Technology Austria, 2022.","chicago":"Arslan, Feyza N. “Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12153\">https://doi.org/10.15479/at:ista:12153</a>."},"date_published":"2022-09-29T00:00:00Z","title":"Remodeling of E-cadherin-mediated contacts via cortical  flows","date_updated":"2026-06-18T19:47:50Z","file_date_updated":"2023-01-25T10:52:46Z","acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"},{"_id":"NanoFab"}],"license":"https://creativecommons.org/licenses/by/4.0/","page":"113","year":"2022","publication_identifier":{"isbn":["978-3-99078-025-1 "],"issn":["2663-337X"]},"department":[{"_id":"GradSch"},{"_id":"CaHe"}],"project":[{"name":"Interaction and feedback between cell mechanics and fate specification in vertebrate gastrulation","grant_number":"742573","_id":"260F1432-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"publication_status":"published","doi":"10.15479/at:ista:12153","abstract":[{"text":"Metazoan development relies on the formation and remodeling of cell-cell contacts. The \r\nbinding of adhesion receptors and remodeling of the actomyosin cell cortex at cell-cell \r\ninteraction sites have been implicated in cell-cell contact formation. Yet, how these two \r\nprocesses functionally interact to drive cell-cell contact expansion and strengthening \r\nremains unclear. Here, we study how primary germ layer progenitor cells from zebrafish \r\nbind to supported lipid bilayers (SLB) functionalized with E-cadherin ectodomains as an \r\nassay system for monitoring cell-cell contact formation at high spatiotemporal resolution. \r\nWe show that cell-cell contact formation represents a two-tiered process: E-cadherin\u0002mediated downregulation of the small GTPase RhoA at the forming contact leads to both \r\ndepletion of Myosin-2 and decrease of F-actin. This is followed by centrifugal actin \r\nnetwork flows at the contact triggered by a sharp gradient of Myosin-2 at the rim of the \r\ncontact zone, with Myosin-2 displaying higher cortical localization outside than inside of \r\nthe contact. These centrifugal cortical actin flows, in turn, not only further dilute the actin \r\nnetwork at the contact disc, but also lead to an accumulation of both F-actin and E\u0002cadherin at the contact rim. Eventually, this combination of actomyosin downregulation \r\nand flows at the contact contribute to the characteristic molecular organization implicated \r\nin contact formation and maintenance: depletion of cortical actomyosin at the contact disc, \r\ndriving contact expansion by lowering interfacial tension at the contact, and accumulation \r\nof both E-cadherin and F-actin at the contact rim, mechanically linking the contractile \r\ncortices of the adhering cells. Thus, using a biomimetic assay, we exemplify how \r\nadhesion signaling and cell mechanics function together to modulate the spatial \r\norganization of cell-cell contacts.","lang":"eng"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.15479/at:ista:12153"},{"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227"}],"publication_status":"published","doi":"10.15479/at:ista:12390","abstract":[{"text":"The scope of this thesis is to study quantum systems exhibiting a continuous symmetry that\r\nis broken on the level of the corresponding effective theory. In particular we are going to\r\ninvestigate translation-invariant Bose gases in the mean field limit, effectively described by\r\nthe Hartree functional, and the Fröhlich Polaron in the regime of strong coupling, effectively\r\ndescribed by the Pekar functional. The latter is a model describing the interaction between a\r\ncharged particle and the optical modes of a polar crystal. Regarding the former, we assume in\r\naddition that the particles in the gas are unconfined, and typically we will consider particles\r\nthat are subject to an attractive interaction. In both cases the ground state energy of the\r\nHamiltonian is not a proper eigenvalue due to the underlying translation-invariance, while on\r\nthe contrary there exists a whole invariant orbit of minimizers for the corresponding effective\r\nfunctionals. Both, the absence of proper eigenstates and the broken symmetry of the effective\r\ntheory, make the study significantly more involved and it is the content of this thesis to\r\ndevelop a frameworks which allows for a systematic way to circumvent these issues.\r\nIt is a well-established result that the ground state energy of Bose gases in the mean field limit,\r\nas well as the ground state energy of the Fröhlich Polaron in the regime of strong coupling, is\r\nto leading order given by the minimal energy of the corresponding effective theory. As part\r\nof this thesis we identify the sub-leading term in the expansion of the ground state energy,\r\nwhich can be interpreted as the quantum correction to the classical energy, since the effective\r\ntheories under consideration can be seen as classical counterparts.\r\nWe are further going to establish an asymptotic expression for the energy-momentum relation\r\nof the Fröhlich Polaron in the strong coupling limit. In the regime of suitably small momenta,\r\nthis asymptotic expression agrees with the energy-momentum relation of a free particle having\r\nan effectively increased mass, and we find that this effectively increased mass agrees with the\r\nconjectured value in the physics literature.\r\nIn addition we will discuss two unrelated papers written by the author during his stay at ISTA\r\nin the appendix. The first one concerns the realization of anyons, which are quasi-particles\r\nacquiring a non-trivial phase under the exchange of two particles, as molecular impurities.\r\nThe second one provides a classification of those vector fields defined on a given manifold\r\nthat can be written as the gradient of a given functional with respect to a suitable metric,\r\nprovided that some mild smoothness assumptions hold. This classification is subsequently\r\nused to identify those quantum Markov semigroups that can be written as a gradient flow of\r\nthe relative entropy.\r\n","lang":"eng"}],"tmp":{"short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"fulldoi":"https://doi.org/10.15479/at:ista:12390","type":"dissertation","month":"12","status":"public","citation":{"chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>.","ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022.","short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","mla":"Brooks, Morris. <i>Translation-Invariant Quantum Systems with Effectively Broken Symmetry</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>.","apa":"Brooks, M. (2022). <i>Translation-invariant quantum systems with effectively broken symmetry</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria.","ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>"},"date_published":"2022-12-15T00:00:00Z","title":"Translation-invariant quantum systems with effectively broken symmetry","date_updated":"2026-04-16T08:20:52Z","file_date_updated":"2023-01-26T10:02:42Z","page":"196","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","year":"2022","publication_identifier":{"issn":["2663-337X"]},"ddc":["500"],"supervisor":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"OA_place":"publisher","file":[{"file_id":"12391","content_type":"application/pdf","date_updated":"2023-01-26T10:02:34Z","success":1,"relation":"main_file","file_name":"Brooks_Thesis.pdf","date_created":"2023-01-26T10:02:34Z","checksum":"b31460e937f33b557abb40ebef02b567","creator":"cchlebak","file_size":3095225,"access_level":"open_access"},{"date_updated":"2023-01-26T10:02:42Z","content_type":"application/octet-stream","file_id":"12392","date_created":"2023-01-26T10:02:42Z","file_name":"Brooks_Thesis.tex","relation":"source_file","creator":"cchlebak","checksum":"9751869fa5e7981588ad4228f4fd4bd6","access_level":"closed","file_size":809842}],"ec_funded":1,"author":[{"first_name":"Morris","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","oa":1,"has_accepted_license":"1","date_created":"2023-01-26T10:00:42Z","degree_awarded":"PhD","corr_author":"1","_id":"12390","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","article_processing_charge":"No","alternative_title":["ISTA Thesis"],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"9005"}]},"language":[{"iso":"eng"}],"day":"15"},{"day":"28","language":[{"iso":"eng"}],"publication":"arXiv","article_processing_charge":"No","oa_version":"Preprint","_id":"12677","corr_author":"1","article_number":"2209.14368","date_created":"2023-02-24T12:21:40Z","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Krishnendu","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee"},{"first_name":"Mona","full_name":"Mohammadi, Mona","id":"4363614d-b686-11ed-a7d5-ac9e4a24bc2e","last_name":"Mohammadi"},{"last_name":"Saona Urmeneta","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X","first_name":"Raimundo J"}],"ec_funded":1,"year":"2022","date_updated":"2025-04-14T07:52:48Z","title":"Repeated prophet inequality with near-optimal bounds","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2209.14368","open_access":"1"}],"date_published":"2022-09-28T00:00:00Z","citation":{"chicago":"Chatterjee, Krishnendu, Mona Mohammadi, and Raimundo J Saona Urmeneta. “Repeated Prophet Inequality with Near-Optimal Bounds.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2209.14368\">https://doi.org/10.48550/ARXIV.2209.14368</a>.","ieee":"K. Chatterjee, M. Mohammadi, and R. J. Saona Urmeneta, “Repeated prophet inequality with near-optimal bounds,” <i>arXiv</i>. .","ista":"Chatterjee K, Mohammadi M, Saona Urmeneta RJ. Repeated prophet inequality with near-optimal bounds. arXiv, 2209.14368.","apa":"Chatterjee, K., Mohammadi, M., &#38; Saona Urmeneta, R. J. (n.d.). Repeated prophet inequality with near-optimal bounds. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2209.14368\">https://doi.org/10.48550/ARXIV.2209.14368</a>","ama":"Chatterjee K, Mohammadi M, Saona Urmeneta RJ. Repeated prophet inequality with near-optimal bounds. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2209.14368\">10.48550/ARXIV.2209.14368</a>","short":"K. Chatterjee, M. Mohammadi, R.J. Saona Urmeneta, ArXiv (n.d.).","mla":"Chatterjee, Krishnendu, et al. “Repeated Prophet Inequality with Near-Optimal Bounds.” <i>ArXiv</i>, 2209.14368, doi:<a href=\"https://doi.org/10.48550/ARXIV.2209.14368\">10.48550/ARXIV.2209.14368</a>."},"status":"public","type":"preprint","arxiv":1,"month":"09","fulldoi":"https://doi.org/10.48550/ARXIV.2209.14368","abstract":[{"text":"In modern sample-driven Prophet Inequality, an adversary chooses a sequence of n items with values v1,v2,…,vn to be presented to a decision maker (DM). The process follows in two phases. In the first phase (sampling phase), some items, possibly selected at random, are revealed to the DM, but she can never accept them. In the second phase, the DM is presented with the other items in a random order and online fashion. For each item, she must make an irrevocable decision to either accept the item and stop the process or reject the item forever and proceed to the next item. The goal of the DM is to maximize the expected value as compared to a Prophet (or offline algorithm) that has access to all information. In this setting, the sampling phase has no cost and is not part of the optimization process. However, in many scenarios, the samples are obtained as part of the decision-making process.\r\nWe model this aspect as a two-phase Prophet Inequality where an adversary chooses a sequence of 2n items with values v1,v2,…,v2n and the items are randomly ordered. Finally, there are two phases of the Prophet Inequality problem with the first n-items and the rest of the items, respectively. We show that some basic algorithms achieve a ratio of at most 0.450. We present an algorithm that achieves a ratio of at least 0.495. Finally, we show that for every algorithm the ratio it can achieve is at most 0.502. Hence our algorithm is near-optimal.","lang":"eng"}],"doi":"10.48550/ARXIV.2209.14368","external_id":{"arxiv":["2209.14368"]},"publication_status":"submitted","acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt) grant.","project":[{"grant_number":"863818","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"department":[{"_id":"GradSch"},{"_id":"KrCh"}]},{"department":[{"_id":"GradSch"},{"_id":"MaSe"}],"doi":"10.48550/arXiv.2210.15607","tmp":{"short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"abstract":[{"lang":"eng","text":"Quantum kinetically constrained models have recently attracted significant attention due to their anomalous dynamics and thermalization. In this work, we introduce a hitherto unexplored family of kinetically constrained models featuring a conserved particle number and strong inversion-symmetry breaking due to facilitated hopping. We demonstrate that these models provide a generic example of so-called quantum Hilbert space fragmentation, that is manifested in disconnected sectors in the Hilbert space that are not apparent in the computational basis. Quantum Hilbert space fragmentation leads to an exponential in system size number of eigenstates with exactly zero entanglement entropy across several bipartite cuts. These eigenstates can be probed dynamically using quenches from simple initial product states. In addition, we study the particle spreading under unitary dynamics launched from the domain wall state, and find faster than diffusive dynamics at high particle densities, that crosses over into logarithmically slow relaxation at smaller densities. Using a classically simulable cellular automaton, we reproduce the logarithmic dynamics observed in the quantum case. Our work suggests that particle conserving constrained models with inversion symmetry breaking realize so far unexplored universality classes of dynamics and invite their further theoretical and experimental studies."}],"fulldoi":"https://doi.org/10.48550/arXiv.2210.15607","publication_status":"draft","external_id":{"arxiv":["2210.15607"]},"citation":{"mla":"Brighi, Pietro, et al. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving Quantum East Models.” <i>ArXiv</i>, 2210.15607, doi:<a href=\"https://doi.org/10.48550/arXiv.2210.15607\">10.48550/arXiv.2210.15607</a>.","short":"P. Brighi, M. Ljubotina, M. Serbyn, ArXiv (n.d.).","ama":"Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2210.15607\">10.48550/arXiv.2210.15607</a>","apa":"Brighi, P., Ljubotina, M., &#38; Serbyn, M. (n.d.). Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2210.15607\">https://doi.org/10.48550/arXiv.2210.15607</a>","ista":"Brighi P, Ljubotina M, Serbyn M. Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models. arXiv, 2210.15607.","ieee":"P. Brighi, M. Ljubotina, and M. Serbyn, “Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models,” <i>arXiv</i>. .","chicago":"Brighi, Pietro, Marko Ljubotina, and Maksym Serbyn. “Hilbert Space Fragmentation and Slow Dynamics in Particle-Conserving Quantum East Models.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2210.15607\">https://doi.org/10.48550/arXiv.2210.15607</a>."},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2210.15607","open_access":"1"}],"date_published":"2022-11-07T00:00:00Z","title":"Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models","arxiv":1,"month":"11","type":"preprint","status":"public","year":"2022","date_updated":"2026-04-07T13:26:31Z","author":[{"orcid":"0000-0002-7969-2729","first_name":"Pietro","full_name":"Brighi, Pietro","id":"4115AF5C-F248-11E8-B48F-1D18A9856A87","last_name":"Brighi"},{"full_name":"Ljubotina, Marko","orcid":"0000-0003-0038-7068","first_name":"Marko","last_name":"Ljubotina","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E"},{"id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","first_name":"Maksym","orcid":"0000-0002-2399-5827","full_name":"Serbyn, Maksym"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_place":"repository","date_created":"2023-03-23T14:33:13Z","article_number":"2210.15607","oa":1,"_id":"12750","oa_version":"Preprint","article_processing_charge":"No","publication":"arXiv","corr_author":"1","day":"07","related_material":{"record":[{"relation":"later_version","id":"14334","status":"public"},{"id":"12732","status":"public","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"date_updated":"2023-04-25T07:34:49Z","day":"30","year":"2022","arxiv":1,"type":"preprint","month":"03","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2203.16701","open_access":"1"}],"date_published":"2022-03-30T00:00:00Z","publication":"arXiv","title":"Towards differential relational privacy and its use in question answering","_id":"12860","oa_version":"Preprint","citation":{"apa":"Bombari, S., Achille, A., Wang, Z., Wang, Y.-X., Xie, Y., Singh, K. Y., … Soatto, S. (n.d.). Towards differential relational privacy and its use in question answering. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2203.16701\">https://doi.org/10.48550/arXiv.2203.16701</a>","ama":"Bombari S, Achille A, Wang Z, et al. Towards differential relational privacy and its use in question answering. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2203.16701\">10.48550/arXiv.2203.16701</a>","ista":"Bombari S, Achille A, Wang Z, Wang Y-X, Xie Y, Singh KY, Appalaraju S, Mahadevan V, Soatto S. Towards differential relational privacy and its use in question answering. arXiv, 2203.16701.","mla":"Bombari, Simone, et al. “Towards Differential Relational Privacy and Its Use in Question Answering.” <i>ArXiv</i>, 2203.16701, doi:<a href=\"https://doi.org/10.48550/arXiv.2203.16701\">10.48550/arXiv.2203.16701</a>.","short":"S. Bombari, A. Achille, Z. Wang, Y.-X. Wang, Y. Xie, K.Y. Singh, S. Appalaraju, V. Mahadevan, S. Soatto, ArXiv (n.d.).","ieee":"S. Bombari <i>et al.</i>, “Towards differential relational privacy and its use in question answering,” <i>arXiv</i>. .","chicago":"Bombari, Simone, Alessandro Achille, Zijian Wang, Yu-Xiang Wang, Yusheng Xie, Kunwar Yashraj Singh, Srikar Appalaraju, Vijay Mahadevan, and Stefano Soatto. “Towards Differential Relational Privacy and Its Use in Question Answering.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2203.16701\">https://doi.org/10.48550/arXiv.2203.16701</a>."},"article_processing_charge":"No","publication_status":"submitted","oa":1,"external_id":{"arxiv":["2203.16701"]},"abstract":[{"text":"Memorization of the relation between entities in a dataset can lead to privacy issues when using a trained model for question answering. We introduce Relational Memorization (RM) to understand, quantify and control this phenomenon. While bounding general memorization can have detrimental effects on the performance of a trained model, bounding RM does not prevent effective learning. The difference is most pronounced when the data distribution is long-tailed, with many queries having only few training examples: Impeding general memorization prevents effective learning, while impeding only relational memorization still allows learning general properties of the underlying concepts. We formalize the notion of Relational Privacy (RP) and, inspired by Differential Privacy (DP), we provide a possible definition of Differential Relational Privacy (DrP). These notions can be used to describe and compute bounds on the amount of RM in a trained model. We illustrate Relational Privacy concepts in experiments with large-scale models for Question Answering.","lang":"eng"}],"fulldoi":"https://doi.org/10.48550/arXiv.2203.16701","article_number":"2203.16701","doi":"10.48550/arXiv.2203.16701","date_created":"2023-04-23T16:11:48Z","department":[{"_id":"GradSch"},{"_id":"MaMo"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Simone","full_name":"Bombari, Simone","id":"ca726dda-de17-11ea-bc14-f9da834f63aa","last_name":"Bombari"},{"first_name":"Alessandro","full_name":"Achille, Alessandro","last_name":"Achille"},{"full_name":"Wang, Zijian","first_name":"Zijian","last_name":"Wang"},{"first_name":"Yu-Xiang","full_name":"Wang, Yu-Xiang","last_name":"Wang"},{"first_name":"Yusheng","full_name":"Xie, Yusheng","last_name":"Xie"},{"last_name":"Singh","first_name":"Kunwar Yashraj","full_name":"Singh, Kunwar Yashraj"},{"last_name":"Appalaraju","full_name":"Appalaraju, Srikar","first_name":"Srikar"},{"last_name":"Mahadevan","full_name":"Mahadevan, Vijay","first_name":"Vijay"},{"last_name":"Soatto","full_name":"Soatto, Stefano","first_name":"Stefano"}]},{"scopus_import":"1","fulldoi":"https://doi.org/10.1016/j.gim.2022.07.013","abstract":[{"text":"Purpose: The mediator (MED) multisubunit-complex modulates the activity of the transcriptional machinery, and genetic defects in different MED subunits (17, 20, 27) have been implicated in neurologic diseases. In this study, we identified a recurrent homozygous variant in MED11 (c.325C>T; p.Arg109Ter) in 7 affected individuals from 5 unrelated families. Methods: To investigate the genetic cause of the disease, exome or genome sequencing were performed in 5 unrelated families identified via different research networks and Matchmaker Exchange. Deep clinical and brain imaging evaluations were performed by clinical pediatric neurologists and neuroradiologists. The functional effect of the candidate variant on both MED11 RNA and protein was assessed using reverse transcriptase polymerase chain reaction and western blotting using fibroblast cell lines derived from 1 affected individual and controls and through computational approaches. Knockouts in zebrafish were generated using clustered regularly interspaced short palindromic repeats/Cas9. Results: The disease was characterized by microcephaly, profound neurodevelopmental impairment, exaggerated startle response, myoclonic seizures, progressive widespread neurodegeneration, and premature death. Functional studies on patient-derived fibroblasts did not show a loss of protein function but rather disruption of the C-terminal of MED11, likely impairing binding to other MED subunits. A zebrafish knockout model recapitulates key clinical phenotypes. Conclusion: Loss of the C-terminal of MED subunit 11 may affect its binding efficiency to other MED subunits, thus implicating the MED-complex stability in brain development and neurodegeneration. (C) 2022 The Authors. Published by Elsevier Inc. on behalf of American College of Medical Genetics and Genomics.","lang":"eng"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"doi":"10.1016/j.gim.2022.07.013","publication_status":"published","department":[{"_id":"GradSch"}],"volume":24,"publication_identifier":{"issn":["1098-3600"]},"year":"2022","issue":"10","keyword":["Human mediator complex","MED11","MEDopathies"],"page":"2194-2203","file_date_updated":"2023-09-25T08:56:06Z","date_updated":"2023-09-25T08:57:07Z","title":"A homozygous MED11 C-terminal variant causes a lethal neurodegenerative disease","date_published":"2022-10-01T00:00:00Z","citation":{"short":"E. Cali, S.-J. Lin, C. Rocca, Y. Sahin, A. Al Shamsi, S. El Chehadeh, M. Chaabouni, K. Mankad, E. Galanaki, S. Efthymiou, S. Sudhakar, A. Athanasiou-Fragkouli, T. Celik, N. Narli, S. Bianca, D. Murphy, F.M.D.C. Moreira, A. Accogli, C. Petree, K. Huang, K. Monastiri, M. Edizadeh, R. Nardello, M. Ognibene, P. De Marco, M. Ruggieri, F. Zara, P. Striano, Y. Sahin, L. Al-Gazali, M.T.A. Warde, B. Gerard, G. Zifarelli, C. Beetz, S. Fortuna, M. Soler, E.M. Valente, G. Varshney, R. Maroofian, V. Salpietro, H. Houlden, Syn.S. Grp, Genetics in Medicine 24 (2022) 2194–2203.","mla":"Cali, Elisa, et al. “A Homozygous MED11 C-Terminal Variant Causes a Lethal Neurodegenerative Disease.” <i>Genetics in Medicine</i>, vol. 24, no. 10, Elsevier, 2022, pp. 2194–203, doi:<a href=\"https://doi.org/10.1016/j.gim.2022.07.013\">10.1016/j.gim.2022.07.013</a>.","ista":"Cali E, Lin S-J, Rocca C, Sahin Y, Al Shamsi A, El Chehadeh S, Chaabouni M, Mankad K, Galanaki E, Efthymiou S, Sudhakar S, Athanasiou-Fragkouli A, Celik T, Narli N, Bianca S, Murphy D, Moreira FMDC, Accogli A, Petree C, Huang K, Monastiri K, Edizadeh M, Nardello R, Ognibene M, De Marco P, Ruggieri M, Zara F, Striano P, Sahin Y, Al-Gazali L, Warde MTA, Gerard B, Zifarelli G, Beetz C, Fortuna S, Soler M, Valente EM, Varshney G, Maroofian R, Salpietro V, Houlden H, Grp SynS. 2022. A homozygous MED11 C-terminal variant causes a lethal neurodegenerative disease. Genetics in Medicine. 24(10), 2194–2203.","ama":"Cali E, Lin S-J, Rocca C, et al. A homozygous MED11 C-terminal variant causes a lethal neurodegenerative disease. <i>Genetics in Medicine</i>. 2022;24(10):2194-2203. doi:<a href=\"https://doi.org/10.1016/j.gim.2022.07.013\">10.1016/j.gim.2022.07.013</a>","apa":"Cali, E., Lin, S.-J., Rocca, C., Sahin, Y., Al Shamsi, A., El Chehadeh, S., … Grp, Syn. S. (2022). A homozygous MED11 C-terminal variant causes a lethal neurodegenerative disease. <i>Genetics in Medicine</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.gim.2022.07.013\">https://doi.org/10.1016/j.gim.2022.07.013</a>","chicago":"Cali, Elisa, Sheng-Jia Lin, Clarissa Rocca, Yavuz Sahin, Aisha Al Shamsi, Salima El Chehadeh, Myriam Chaabouni, et al. “A Homozygous MED11 C-Terminal Variant Causes a Lethal Neurodegenerative Disease.” <i>Genetics in Medicine</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.gim.2022.07.013\">https://doi.org/10.1016/j.gim.2022.07.013</a>.","ieee":"E. Cali <i>et al.</i>, “A homozygous MED11 C-terminal variant causes a lethal neurodegenerative disease,” <i>Genetics in Medicine</i>, vol. 24, no. 10. Elsevier, pp. 2194–2203, 2022."},"intvolume":"        24","status":"public","month":"10","type":"journal_article","extern":"1","date_created":"2023-09-20T20:57:18Z","has_accepted_license":"1","oa":1,"quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Cali, Elisa","first_name":"Elisa","last_name":"Cali"},{"first_name":"Sheng-Jia","full_name":"Lin, Sheng-Jia","last_name":"Lin"},{"first_name":"Clarissa","full_name":"Rocca, Clarissa","last_name":"Rocca"},{"full_name":"Sahin, Yavuz","first_name":"Yavuz","last_name":"Sahin"},{"full_name":"Al Shamsi, Aisha","first_name":"Aisha","last_name":"Al Shamsi"},{"first_name":"Salima","full_name":"El Chehadeh, Salima","last_name":"El Chehadeh"},{"last_name":"Chaabouni","full_name":"Chaabouni, Myriam","first_name":"Myriam"},{"last_name":"Mankad","full_name":"Mankad, Kshitij","first_name":"Kshitij"},{"first_name":"Evangelia","full_name":"Galanaki, Evangelia","last_name":"Galanaki"},{"full_name":"Efthymiou, Stephanie","first_name":"Stephanie","last_name":"Efthymiou"},{"last_name":"Sudhakar","full_name":"Sudhakar, Sniya","first_name":"Sniya"},{"first_name":"Alkyoni","full_name":"Athanasiou-Fragkouli, Alkyoni","last_name":"Athanasiou-Fragkouli"},{"last_name":"Celik","first_name":"Tamer","full_name":"Celik, Tamer"},{"last_name":"Narli","full_name":"Narli, Nejat","first_name":"Nejat"},{"first_name":"Sebastiano","full_name":"Bianca, Sebastiano","last_name":"Bianca"},{"last_name":"Murphy","first_name":"David","full_name":"Murphy, David"},{"full_name":"Moreira, Francisco Martins De Carvalho","first_name":"Francisco Martins De Carvalho","last_name":"Moreira"},{"last_name":"Accogli","first_name":"Andrea","full_name":"Accogli, Andrea"},{"last_name":"Petree","full_name":"Petree, Cassidy","first_name":"Cassidy"},{"id":"3b3d2888-1ff6-11ee-9fa6-8f209ca91fe3","last_name":"Huang","first_name":"Kevin","orcid":"0000-0002-2512-7812","full_name":"Huang, Kevin"},{"last_name":"Monastiri","first_name":"Kamel","full_name":"Monastiri, Kamel"},{"first_name":"Masoud","full_name":"Edizadeh, Masoud","last_name":"Edizadeh"},{"first_name":"Rosaria","full_name":"Nardello, Rosaria","last_name":"Nardello"},{"full_name":"Ognibene, Marzia","first_name":"Marzia","last_name":"Ognibene"},{"first_name":"Patrizia","full_name":"De Marco, Patrizia","last_name":"De Marco"},{"last_name":"Ruggieri","full_name":"Ruggieri, Martino","first_name":"Martino"},{"first_name":"Federico","full_name":"Zara, Federico","last_name":"Zara"},{"first_name":"Pasquale","full_name":"Striano, Pasquale","last_name":"Striano"},{"last_name":"Sahin","first_name":"Yavuz","full_name":"Sahin, Yavuz"},{"last_name":"Al-Gazali","full_name":"Al-Gazali, Lihadh","first_name":"Lihadh"},{"last_name":"Warde","first_name":"Marie Therese Abi","full_name":"Warde, Marie Therese Abi"},{"first_name":"Benedicte","full_name":"Gerard, Benedicte","last_name":"Gerard"},{"full_name":"Zifarelli, Giovanni","first_name":"Giovanni","last_name":"Zifarelli"},{"last_name":"Beetz","first_name":"Christian","full_name":"Beetz, Christian"},{"first_name":"Sara","full_name":"Fortuna, Sara","last_name":"Fortuna"},{"last_name":"Soler","first_name":"Miguel","full_name":"Soler, Miguel"},{"first_name":"Enza Maria","full_name":"Valente, Enza Maria","last_name":"Valente"},{"last_name":"Varshney","full_name":"Varshney, Gaurav","first_name":"Gaurav"},{"last_name":"Maroofian","full_name":"Maroofian, Reza","first_name":"Reza"},{"last_name":"Salpietro","first_name":"Vincenzo","full_name":"Salpietro, Vincenzo"},{"full_name":"Houlden, Henry","first_name":"Henry","last_name":"Houlden"},{"last_name":"Grp","first_name":"SYNaPS Study","full_name":"Grp, SYNaPS Study"}],"file":[{"content_type":"application/pdf","date_updated":"2023-09-25T08:56:06Z","success":1,"file_id":"14371","file_name":"2022_GeneticsMedicine_Calin.pdf","date_created":"2023-09-25T08:56:06Z","relation":"main_file","creator":"dernst","checksum":"8117175a89129eb5022d81ffe7625f9f","access_level":"open_access","file_size":1434037}],"article_type":"original","ddc":["570"],"day":"01","language":[{"iso":"eng"}],"publication":"Genetics in Medicine","article_processing_charge":"No","oa_version":"Published Version","_id":"14355","publisher":"Elsevier"},{"citation":{"ista":"Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. arXiv, 2212.11836.","apa":"Hausel, T., &#38; Rychlewicz, K. P. (n.d.). Spectrum of equivariant cohomology as a fixed point scheme. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2212.11836\">https://doi.org/10.48550/arXiv.2212.11836</a>","ama":"Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2212.11836\">10.48550/arXiv.2212.11836</a>","mla":"Hausel, Tamás, and Kamil P. Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” <i>ArXiv</i>, 2212.11836, doi:<a href=\"https://doi.org/10.48550/arXiv.2212.11836\">10.48550/arXiv.2212.11836</a>.","short":"T. Hausel, K.P. Rychlewicz, ArXiv (n.d.).","ieee":"T. Hausel and K. P. Rychlewicz, “Spectrum of equivariant cohomology as a fixed point scheme,” <i>arXiv</i>. .","chicago":"Hausel, Tamás, and Kamil P Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2212.11836\">https://doi.org/10.48550/arXiv.2212.11836</a>."},"article_processing_charge":"No","_id":"17157","oa_version":"Preprint","title":"Spectrum of equivariant cohomology as a fixed point scheme","date_published":"2022-12-22T00:00:00Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2212.11836","open_access":"1"}],"publication":"arXiv","status":"public","arxiv":1,"type":"preprint","month":"12","year":"2022","day":"22","related_material":{"record":[{"status":"public","id":"19071","relation":"later_version"},{"relation":"dissertation_contains","status":"public","id":"17156"}]},"date_updated":"2026-04-07T12:55:46Z","language":[{"iso":"eng"}],"author":[{"full_name":"Hausel, Tamás","first_name":"Tamás","orcid":"0000-0002-9582-2634","last_name":"Hausel","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Rychlewicz, Kamil P","first_name":"Kamil P","last_name":"Rychlewicz","id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_place":"repository","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"date_created":"2024-06-23T15:01:27Z","doi":"10.48550/arXiv.2212.11836","article_number":"2212.11836","fulldoi":"https://doi.org/10.48550/arXiv.2212.11836","abstract":[{"lang":"eng","text":"An action of a complex reductive group G on a smooth projective variety X is regular when all regular unipotent elements in G act with finitely many fixed points. Then the complex G-equivariant cohomology ring of X is isomorphic to the coordinate ring of a certain regular fixed point scheme. Examples include partial flag varieties, smooth Schubert varieties and Bott-Samelson varieties. We also show that a more general version of the fixed point scheme allows a generalisation to GKM spaces, such as toric varieties."}],"external_id":{"arxiv":["2212.11836"]},"oa":1,"publication_status":"draft"},{"quality_controlled":"1","oa":1,"date_created":"2022-01-03T12:19:48Z","article_number":"011901","article_type":"original","isi":1,"ec_funded":1,"author":[{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik"},{"first_name":"Stefan","full_name":"Teufel, Stefan","last_name":"Teufel"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","language":[{"iso":"eng"}],"day":"03","article_processing_charge":"No","publisher":"AIP Publishing","_id":"10600","oa_version":"Preprint","publication":"Journal of Mathematical Physics","external_id":{"isi":["000739446000009"],"arxiv":["2012.15238"]},"publication_status":"published","doi":"10.1063/5.0051632","fulldoi":"https://doi.org/10.1063/5.0051632","scopus_import":"1","abstract":[{"text":"We show that recent results on adiabatic theory for interacting gapped many-body systems on finite lattices remain valid in the thermodynamic limit. More precisely, we prove a generalized super-adiabatic theorem for the automorphism group describing the infinite volume dynamics on the quasi-local algebra of observables. The key assumption is the existence of a sequence of gapped finite volume Hamiltonians, which generates the same infinite volume dynamics in the thermodynamic limit. Our adiabatic theorem also holds for certain perturbations of gapped ground states that close the spectral gap (so it is also an adiabatic theorem for resonances and, in this sense, “generalized”), and it provides an adiabatic approximation to all orders in the adiabatic parameter (a property often called “super-adiabatic”). In addition to the existing results for finite lattices, we also perform a resummation of the adiabatic expansion and allow for observables that are not strictly local. Finally, as an application, we prove the validity of linear and higher order response theory for our class of perturbations for infinite systems. While we consider the result and its proof as new and interesting in itself, we also lay the foundation for the proof of an adiabatic theorem for systems with a gap only in the bulk, which will be presented in a follow-up article.","lang":"eng"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"acknowledgement":"J.H. acknowledges partial financial support from ERC Advanced Grant “RMTBeyond” No. 101020331.","project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"date_updated":"2025-04-14T07:57:17Z","issue":"1","keyword":["mathematical physics","statistical and nonlinear physics"],"year":"2022","volume":63,"publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"status":"public","type":"journal_article","month":"01","arxiv":1,"citation":{"ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. 2022;63(1). doi:<a href=\"https://doi.org/10.1063/5.0051632\">10.1063/5.0051632</a>","ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. Journal of Mathematical Physics. 63(1), 011901.","apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0051632\">https://doi.org/10.1063/5.0051632</a>","short":"S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 1, 011901, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0051632\">10.1063/5.0051632</a>.","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0051632\">https://doi.org/10.1063/5.0051632</a>.","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 1. AIP Publishing, 2022."},"intvolume":"        63","title":"Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap","date_published":"2022-01-03T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2012.15238"}]},{"year":"2022","keyword":["computational mathematics","discrete mathematics and combinatorics","geometry and topology","mathematical physics","statistics and probability","algebra and number theory","theoretical computer science","analysis"],"volume":10,"publication_identifier":{"eissn":["2050-5094"]},"date_updated":"2025-04-14T07:57:17Z","file_date_updated":"2022-01-19T09:27:43Z","citation":{"short":"S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>, vol. 10, e4, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>.","ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.","apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>","ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. 2022;10. doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>.","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk,” <i>Forum of Mathematics, Sigma</i>, vol. 10. Cambridge University Press, 2022."},"intvolume":"        10","title":"Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk","date_published":"2022-01-18T00:00:00Z","status":"public","arxiv":1,"type":"journal_article","month":"01","doi":"10.1017/fms.2021.80","scopus_import":"1","fulldoi":"https://doi.org/10.1017/fms.2021.80","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"text":"We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding Gelfand–Naimark–Segal Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n","lang":"eng"}],"external_id":{"arxiv":["2012.15239"],"isi":["000743615000001"]},"publication_status":"published","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"acknowledgement":"J.H. acknowledges partial financial support by the ERC Advanced Grant ‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft and the Open Access Publishing Fund of the University of Tübingen is gratefully acknowledged.","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"day":"18","language":[{"iso":"eng"}],"article_processing_charge":"Yes","oa_version":"Published Version","_id":"10643","publisher":"Cambridge University Press","publication":"Forum of Mathematics, Sigma","corr_author":"1","date_created":"2022-01-18T16:18:51Z","article_number":"e4","quality_controlled":"1","has_accepted_license":"1","oa":1,"ec_funded":1,"author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"full_name":"Teufel, Stefan","first_name":"Stefan","last_name":"Teufel"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","ddc":["510"],"file":[{"file_id":"10646","date_updated":"2022-01-19T09:27:43Z","content_type":"application/pdf","success":1,"relation":"main_file","file_name":"2022_ForumMathSigma_Henheik.pdf","date_created":"2022-01-19T09:27:43Z","checksum":"87592a755adcef22ea590a99dc728dd3","creator":"cchlebak","file_size":705323,"access_level":"open_access"}],"isi":1},{"status":"public","month":"01","type":"journal_article","citation":{"mla":"Sachdeva, Himani, et al. “Genetic Load and Extinction in Peripheral Populations: The Roles of Migration, Drift and Demographic Stochasticity.” <i>Philosophical Transactions of the Royal Society B</i>, vol. 377, no. 1846, 20210010, The Royal Society, 2022, doi:<a href=\"https://doi.org/10.1098/rstb.2021.0010\">10.1098/rstb.2021.0010</a>.","short":"H. Sachdeva, O.O. Olusanya, N.H. Barton, Philosophical Transactions of the Royal Society B 377 (2022).","ama":"Sachdeva H, Olusanya OO, Barton NH. Genetic load and extinction in peripheral populations: The roles of migration, drift and demographic stochasticity. <i>Philosophical Transactions of the Royal Society B</i>. 2022;377(1846). doi:<a href=\"https://doi.org/10.1098/rstb.2021.0010\">10.1098/rstb.2021.0010</a>","ista":"Sachdeva H, Olusanya OO, Barton NH. 2022. Genetic load and extinction in peripheral populations: The roles of migration, drift and demographic stochasticity. Philosophical Transactions of the Royal Society B. 377(1846), 20210010.","apa":"Sachdeva, H., Olusanya, O. O., &#38; Barton, N. H. (2022). Genetic load and extinction in peripheral populations: The roles of migration, drift and demographic stochasticity. <i>Philosophical Transactions of the Royal Society B</i>. The Royal Society. <a href=\"https://doi.org/10.1098/rstb.2021.0010\">https://doi.org/10.1098/rstb.2021.0010</a>","ieee":"H. Sachdeva, O. O. Olusanya, and N. H. Barton, “Genetic load and extinction in peripheral populations: The roles of migration, drift and demographic stochasticity,” <i>Philosophical Transactions of the Royal Society B</i>, vol. 377, no. 1846. The Royal Society, 2022.","chicago":"Sachdeva, Himani, Oluwafunmilola O Olusanya, and Nicholas H Barton. “Genetic Load and Extinction in Peripheral Populations: The Roles of Migration, Drift and Demographic Stochasticity.” <i>Philosophical Transactions of the Royal Society B</i>. The Royal Society, 2022. <a href=\"https://doi.org/10.1098/rstb.2021.0010\">https://doi.org/10.1098/rstb.2021.0010</a>."},"intvolume":"       377","title":"Genetic load and extinction in peripheral populations: The roles of migration, drift and demographic stochasticity","date_published":"2022-01-24T00:00:00Z","date_updated":"2026-04-07T12:54:28Z","file_date_updated":"2022-01-24T10:34:45Z","issue":"1846","year":"2022","volume":377,"publication_identifier":{"eissn":["1471-2970"],"issn":["0962-8436"]},"department":[{"_id":"GradSch"},{"_id":"NiBa"}],"acknowledgement":"This research was partly funded by the Austrian Science Fund (FWF) (grant no. P-32896B).","project":[{"_id":"c08d3278-5a5b-11eb-8a69-fdb09b55f4b8","grant_number":"P32896","name":"Causes and consequences of population fragmentation"}],"external_id":{"pmid":["35067097"],"isi":["000745854300008"]},"publication_status":"published","doi":"10.1098/rstb.2021.0010","fulldoi":"https://doi.org/10.1098/rstb.2021.0010","scopus_import":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"lang":"eng","text":"We analyse how migration from a large mainland influences genetic load and population numbers on an island, in a scenario where fitness-affecting variants are unconditionally deleterious, and where numbers decline with increasing load. Our analysis shows that migration can have qualitatively different effects, depending on the total mutation target and fitness effects of deleterious variants. In particular, we find that populations exhibit a genetic Allee effect across a wide range of parameter combinations, when variants are partially recessive, cycling between low-load (large-population) and high-load (sink) states. Increased migration reduces load in the sink state (by increasing heterozygosity) but further inflates load in the large-population state (by hindering purging). We identify various critical parameter thresholds at which one or other stable state collapses, and discuss how these thresholds are influenced by the genetic versus demographic effects of migration. Our analysis is based on a ‘semi-deterministic’ analysis, which accounts for genetic drift but neglects demographic stochasticity. We also compare against simulations which account for both demographic stochasticity and drift. Our results clarify the importance of gene flow as a key determinant of extinction risk in peripheral populations, even in the absence of ecological gradients. This article is part of the theme issue ‘Species’ ranges in the face of changing environments (part I)’."}],"article_processing_charge":"No","publisher":"The Royal Society","_id":"10658","oa_version":"Published Version","publication":"Philosophical Transactions of the Royal Society B","related_material":{"link":[{"relation":"earlier_version","url":"https://doi.org/10.1101/2021.08.05.455207"}],"record":[{"status":"public","id":"14711","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}],"day":"24","article_type":"original","ddc":["576"],"file":[{"file_id":"10659","date_updated":"2022-01-24T10:34:45Z","content_type":"application/pdf","relation":"main_file","file_name":"rstb.2021.0010.pdf","date_created":"2022-01-24T10:34:45Z","checksum":"04ca9e2f0e344d680b947f2457df8d0a","creator":"oolusany","file_size":1845792,"access_level":"open_access"}],"isi":1,"author":[{"full_name":"Sachdeva, Himani","first_name":"Himani","last_name":"Sachdeva"},{"id":"41AD96DC-F248-11E8-B48F-1D18A9856A87","last_name":"Olusanya","first_name":"Oluwafunmilola O","orcid":"0000-0003-1971-8314","full_name":"Olusanya, Oluwafunmilola O"},{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","last_name":"Barton","orcid":"0000-0002-8548-5240","first_name":"Nicholas H","full_name":"Barton, Nicholas H"}],"pmid":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","has_accepted_license":"1","oa":1,"date_created":"2022-01-24T10:34:53Z","article_number":"20210010"},{"department":[{"_id":"GradSch"},{"_id":"MiLe"}],"project":[{"name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"665385"}],"publication_status":"published","abstract":[{"lang":"eng","text":"In this Thesis, I study composite quantum impurities with variational techniques, both inspired by machine learning as well as fully analytic. I supplement this with exploration of other applications of machine learning, in particular artificial neural networks, in many-body physics. In Chapters 3 and 4, I study quasiparticle systems with variational approach. I derive a Hamiltonian describing the angulon quasiparticle in the presence of a magnetic field. I apply analytic variational treatment to this Hamiltonian. Then, I introduce a variational approach for non-additive systems, based on artificial neural networks. I exemplify this approach on the example of the polaron quasiparticle (Fröhlich Hamiltonian). In Chapter 5, I continue using artificial neural networks, albeit in a different setting. I apply artificial neural networks to detect phases from snapshots of two types physical systems. Namely, I study Monte Carlo snapshots of multilayer classical spin models as well as molecular dynamics maps of colloidal systems. The main type of networks that I use here are convolutional neural networks, known for their applicability to image data."}],"fulldoi":"https://doi.org/10.15479/at:ista:10759","doi":"10.15479/at:ista:10759","type":"dissertation","month":"02","status":"public","date_published":"2022-02-21T00:00:00Z","title":"Analytic and machine learning approaches to composite quantum impurities","citation":{"chicago":"Rzadkowski, Wojciech. “Analytic and Machine Learning Approaches to Composite Quantum Impurities.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:10759\">https://doi.org/10.15479/at:ista:10759</a>.","ieee":"W. Rzadkowski, “Analytic and machine learning approaches to composite quantum impurities,” Institute of Science and Technology Austria, 2022.","short":"W. Rzadkowski, Analytic and Machine Learning Approaches to Composite Quantum Impurities, Institute of Science and Technology Austria, 2022.","mla":"Rzadkowski, Wojciech. <i>Analytic and Machine Learning Approaches to Composite Quantum Impurities</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:10759\">10.15479/at:ista:10759</a>.","apa":"Rzadkowski, W. (2022). <i>Analytic and machine learning approaches to composite quantum impurities</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:10759\">https://doi.org/10.15479/at:ista:10759</a>","ama":"Rzadkowski W. Analytic and machine learning approaches to composite quantum impurities. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:10759\">10.15479/at:ista:10759</a>","ista":"Rzadkowski W. 2022. Analytic and machine learning approaches to composite quantum impurities. Institute of Science and Technology Austria."},"file_date_updated":"2022-02-22T07:20:12Z","date_updated":"2026-06-18T19:29:09Z","publication_identifier":{"issn":["2663-337X"]},"page":"120","year":"2022","file":[{"creator":"wrzadkow","checksum":"0fc54ad1eaede879c665ac9b53c93e22","access_level":"closed","file_size":17668233,"content_type":"application/zip","date_updated":"2022-02-22T07:20:12Z","file_id":"10785","date_created":"2022-02-21T13:58:16Z","file_name":"Rzadkowski_thesis_final_source.zip","relation":"source_file"},{"file_name":"Rzadkowski_thesis_final.pdf","date_created":"2022-02-21T14:02:54Z","relation":"main_file","date_updated":"2022-02-21T14:02:54Z","content_type":"application/pdf","success":1,"file_id":"10786","access_level":"open_access","file_size":13307331,"creator":"wrzadkow","checksum":"22d2d7af37ca31f6b1730c26cac7bced"}],"ddc":["530"],"OA_place":"publisher","supervisor":[{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","ec_funded":1,"author":[{"id":"48C55298-F248-11E8-B48F-1D18A9856A87","last_name":"Rzadkowski","first_name":"Wojciech","orcid":"0000-0002-1106-4419","full_name":"Rzadkowski, Wojciech"}],"oa":1,"has_accepted_license":"1","date_created":"2022-02-16T13:27:37Z","corr_author":"1","degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"oa_version":"Published Version","_id":"10759","publisher":"Institute of Science and Technology Austria","article_processing_charge":"No","language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"part_of_dissertation","id":"10762","status":"public"},{"status":"public","id":"415","relation":"part_of_dissertation"},{"id":"8644","status":"public","relation":"part_of_dissertation"},{"status":"public","id":"7956","relation":"part_of_dissertation"}]},"day":"21"},{"date_published":"2022-04-11T00:00:00Z","title":"The response of a metapopulation to a changing environment","intvolume":"       377","citation":{"apa":"Barton, N. H., &#38; Olusanya, O. O. (2022). The response of a metapopulation to a changing environment. <i>Philosophical Transactions of the Royal Society B: Biological Sciences</i>. The Royal Society. <a href=\"https://doi.org/10.1098/rstb.2021.0009\">https://doi.org/10.1098/rstb.2021.0009</a>","ama":"Barton NH, Olusanya OO. The response of a metapopulation to a changing environment. <i>Philosophical Transactions of the Royal Society B: Biological Sciences</i>. 2022;377(1848). doi:<a href=\"https://doi.org/10.1098/rstb.2021.0009\">10.1098/rstb.2021.0009</a>","ista":"Barton NH, Olusanya OO. 2022. The response of a metapopulation to a changing environment. Philosophical Transactions of the Royal Society B: Biological Sciences. 377(1848).","mla":"Barton, Nicholas H., and Oluwafunmilola O. Olusanya. “The Response of a Metapopulation to a Changing Environment.” <i>Philosophical Transactions of the Royal Society B: Biological Sciences</i>, vol. 377, no. 1848, The Royal Society, 2022, doi:<a href=\"https://doi.org/10.1098/rstb.2021.0009\">10.1098/rstb.2021.0009</a>.","short":"N.H. Barton, O.O. Olusanya, Philosophical Transactions of the Royal Society B: Biological Sciences 377 (2022).","ieee":"N. H. Barton and O. O. Olusanya, “The response of a metapopulation to a changing environment,” <i>Philosophical Transactions of the Royal Society B: Biological Sciences</i>, vol. 377, no. 1848. The Royal Society, 2022.","chicago":"Barton, Nicholas H, and Oluwafunmilola O Olusanya. “The Response of a Metapopulation to a Changing Environment.” <i>Philosophical Transactions of the Royal Society B: Biological Sciences</i>. The Royal Society, 2022. <a href=\"https://doi.org/10.1098/rstb.2021.0009\">https://doi.org/10.1098/rstb.2021.0009</a>."},"type":"journal_article","month":"04","status":"public","publication_identifier":{"issn":["0962-8436"],"eissn":["1471-2970"]},"volume":377,"year":"2022","keyword":["General Agricultural and Biological Sciences","General Biochemistry","Genetics and Molecular Biology"],"issue":"1848","file_date_updated":"2022-08-02T06:14:32Z","date_updated":"2026-04-07T12:54:28Z","acknowledgement":"This research was partly funded by the Austrian Science Fund (FWF) [FWF P-32896B].","project":[{"name":"Causes and consequences of population fragmentation","grant_number":"P32896","_id":"c08d3278-5a5b-11eb-8a69-fdb09b55f4b8"}],"department":[{"_id":"GradSch"},{"_id":"NiBa"}],"abstract":[{"lang":"eng","text":"A species distributed across diverse environments may adapt to local conditions. We ask how quickly such a species changes its range in response to changed conditions. Szép et al. (Szép E, Sachdeva H, Barton NH. 2021 Polygenic local adaptation in metapopulations: a stochastic eco-evolutionary model. Evolution75, 1030–1045 (doi:10.1111/evo.14210)) used the infinite island model to find the stationary distribution of allele frequencies and deme sizes. We extend this to find how a metapopulation responds to changes in carrying capacity, selection strength, or migration rate when deme sizes are fixed. We further develop a ‘fixed-state’ approximation. Under this approximation, polymorphism is only possible for a narrow range of habitat proportions when selection is weak compared to drift, but for a much wider range otherwise. When rates of selection or migration relative to drift change in a single deme of the metapopulation, the population takes a time of order m−1 to reach the new equilibrium. However, even with many loci, there can be substantial fluctuations in net adaptation, because at each locus, alleles randomly get lost or fixed. Thus, in a finite metapopulation, variation may gradually be lost by chance, even if it would persist in an infinite metapopulation. When conditions change across the whole metapopulation, there can be rapid change, which is predicted well by the fixed-state approximation. This work helps towards an understanding of how metapopulations extend their range across diverse environments.\r\nThis article is part of the theme issue ‘Species’ ranges in the face of changing environments (Part II)’."}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","fulldoi":"https://doi.org/10.1098/rstb.2021.0009","doi":"10.1098/rstb.2021.0009","publication_status":"published","external_id":{"pmid":["35184588"],"isi":["000758140300001"]},"publication":"Philosophical Transactions of the Royal Society B: Biological Sciences","oa_version":"Published Version","_id":"10787","publisher":"The Royal Society","article_processing_charge":"No","corr_author":"1","day":"11","language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14711"}]},"pmid":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"first_name":"Nicholas H","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","last_name":"Barton"},{"id":"41AD96DC-F248-11E8-B48F-1D18A9856A87","last_name":"Olusanya","orcid":"0000-0003-1971-8314","first_name":"Oluwafunmilola O","full_name":"Olusanya, Oluwafunmilola O"}],"isi":1,"file":[{"content_type":"application/pdf","date_updated":"2022-08-02T06:14:32Z","success":1,"file_id":"11719","file_name":"2022_PhilosophicalTransactionsRSB_Barton.pdf","date_created":"2022-08-02T06:14:32Z","relation":"main_file","creator":"dernst","checksum":"3b0243738f01bf3c07e0d7e8dc64f71d","access_level":"open_access","file_size":1349672}],"ddc":["570"],"article_type":"original","date_created":"2022-02-21T16:08:10Z","oa":1,"has_accepted_license":"1","quality_controlled":"1"},{"has_accepted_license":"1","oa":1,"date_created":"2022-02-28T13:03:49Z","file":[{"relation":"main_file","date_created":"2022-03-06T11:42:54Z","file_name":"thesis.pdf","file_id":"10823","success":1,"date_updated":"2022-03-06T11:42:54Z","content_type":"application/pdf","file_size":4204905,"access_level":"open_access","checksum":"626bc523ae8822d20e635d0e2d95182e","creator":"nkonstan"},{"creator":"nkonstan","checksum":"e2ca2b88350ac8ea1515b948885cbcb1","access_level":"closed","file_size":22841103,"content_type":"application/x-zip-compressed","date_updated":"2022-03-10T12:11:48Z","file_id":"10824","date_created":"2022-03-06T11:42:57Z","file_name":"thesis.zip","relation":"source_file"}],"OA_place":"publisher","supervisor":[{"orcid":"0000-0001-8622-7887","first_name":"Christoph","full_name":"Lampert, Christoph","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87","last_name":"Lampert"}],"ddc":["000"],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","author":[{"full_name":"Konstantinov, Nikola H","first_name":"Nikola H","orcid":"0009-0009-5204-7621","last_name":"Konstantinov","id":"4B9D76E4-F248-11E8-B48F-1D18A9856A87"}],"ec_funded":1,"language":[{"iso":"eng"}],"related_material":{"record":[{"status":"public","id":"10802","relation":"part_of_dissertation"},{"status":"public","id":"10803","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"6590"},{"id":"8724","status":"public","relation":"part_of_dissertation"}]},"day":"08","corr_author":"1","degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"article_processing_charge":"No","_id":"10799","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","publication_status":"published","fulldoi":"https://doi.org/10.15479/at:ista:10799","abstract":[{"lang":"eng","text":"Because of the increasing popularity of machine learning methods, it is becoming important to understand the impact of learned components on automated decision-making systems and to guarantee that their consequences are beneficial to society. In other words, it is necessary to ensure that machine learning is sufficiently trustworthy to be used in real-world applications. This thesis studies two properties of machine learning models that are highly desirable for the\r\nsake of reliability: robustness and fairness. In the first part of the thesis we study the robustness of learning algorithms to training data corruption. Previous work has shown that machine learning models are vulnerable to a range\r\nof training set issues, varying from label noise through systematic biases to worst-case data manipulations. This is an especially relevant problem from a present perspective, since modern machine learning methods are particularly data hungry and therefore practitioners often have to rely on data collected from various external sources, e.g. from the Internet, from app users or via crowdsourcing. Naturally, such sources vary greatly in the quality and reliability of the\r\ndata they provide. With these considerations in mind, we study the problem of designing machine learning algorithms that are robust to corruptions in data coming from multiple sources. We show that, in contrast to the case of a single dataset with outliers, successful learning within this model is possible both theoretically and practically, even under worst-case data corruptions. The second part of this thesis deals with fairness-aware machine learning. There are multiple areas where machine learning models have shown promising results, but where careful considerations are required, in order to avoid discrimanative decisions taken by such learned components. Ensuring fairness can be particularly challenging, because real-world training datasets are expected to contain various forms of historical bias that may affect the learning process. In this thesis we show that data corruption can indeed render the problem of achieving fairness impossible, by tightly characterizing the theoretical limits of fair learning under worst-case data manipulations. However, assuming access to clean data, we also show how fairness-aware learning can be made practical in contexts beyond binary classification, in particular in the challenging learning to rank setting."}],"doi":"10.15479/at:ista:10799","department":[{"_id":"GradSch"},{"_id":"ChLa"}],"project":[{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"}],"file_date_updated":"2022-03-10T12:11:48Z","date_updated":"2026-04-07T14:19:48Z","publication_identifier":{"issn":["2663-337X"],"isbn":["978-3-99078-015-2"]},"year":"2022","keyword":["robustness","fairness","machine learning","PAC learning","adversarial learning"],"page":"176","status":"public","type":"dissertation","month":"03","title":"Robustness and fairness in machine learning","date_published":"2022-03-08T00:00:00Z","citation":{"chicago":"Konstantinov, Nikola H. “Robustness and Fairness in Machine Learning.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:10799\">https://doi.org/10.15479/at:ista:10799</a>.","ieee":"N. H. Konstantinov, “Robustness and fairness in machine learning,” Institute of Science and Technology Austria, 2022.","short":"N.H. Konstantinov, Robustness and Fairness in Machine Learning, Institute of Science and Technology Austria, 2022.","mla":"Konstantinov, Nikola H. <i>Robustness and Fairness in Machine Learning</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:10799\">10.15479/at:ista:10799</a>.","apa":"Konstantinov, N. H. (2022). <i>Robustness and fairness in machine learning</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:10799\">https://doi.org/10.15479/at:ista:10799</a>","ista":"Konstantinov NH. 2022. Robustness and fairness in machine learning. Institute of Science and Technology Austria.","ama":"Konstantinov NH. Robustness and fairness in machine learning. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:10799\">10.15479/at:ista:10799</a>"}},{"isi":1,"article_type":"original","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","author":[{"first_name":"Vyacheslav","full_name":"Li, Vyacheslav","id":"3A4FAA92-F248-11E8-B48F-1D18A9856A87","last_name":"Li"},{"id":"2E054C4C-F248-11E8-B48F-1D18A9856A87","last_name":"Diorico","first_name":"Fritz R","orcid":"0000-0002-4947-8924","full_name":"Diorico, Fritz R"},{"first_name":"Onur","orcid":"0000-0002-2031-204X","full_name":"Hosten, Onur","id":"4C02D85E-F248-11E8-B48F-1D18A9856A87","last_name":"Hosten"}],"oa":1,"quality_controlled":"1","article_number":"054031","date_created":"2022-06-07T08:07:59Z","corr_author":"1","researchdata_availability":"no","publication":"Physical Review Applied","article_processing_charge":"No","_id":"11438","oa_version":"Preprint","publisher":"American Physical Society","language":[{"iso":"eng"}],"das_tickbox":"0","related_material":{"record":[{"relation":"dissertation_contains","id":"17225","status":"public"}]},"day":"19","department":[{"_id":"GradSch"},{"_id":"OnHo"}],"acknowledgement":"This work was supported by IST Austria. The authors thank Yueheng Shi for technical contributions.","external_id":{"arxiv":["2111.13194"],"isi":["000880670300001"]},"publication_status":"published","fulldoi":"https://doi.org/10.1103/physrevapplied.17.054031","scopus_import":"1","abstract":[{"lang":"eng","text":"Lasers with well-controlled relative frequencies are indispensable for many applications in science and technology. We present a frequency-offset locking method for lasers based on beat-frequency discrimination utilizing hybrid electronic LC filters. The method is specifically designed for decoupling the tightness of the lock from the broadness of its capture range. The presented demonstration locks two free-running diode lasers at 780 nm with a 5.5-GHz offset. It displays an offset frequency instability below 55 Hz for time scales in excess of 1000 s and a minimum of 12 Hz at 10-s averaging. The performance is complemented with a 190-MHz lock-capture range, a tuning range of up to 1 GHz, and a frequency ramp agility of 200kHz/μs."}],"doi":"10.1103/physrevapplied.17.054031","status":"public","month":"05","arxiv":1,"type":"journal_article","title":"Laser frequency-offset locking at 10-Hz-level instability using hybrid electronic filters","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2111.13194"}],"date_published":"2022-05-19T00:00:00Z","citation":{"ieee":"V. Li, F. R. Diorico, and O. Hosten, “Laser frequency-offset locking at 10-Hz-level instability using hybrid electronic filters,” <i>Physical Review Applied</i>, vol. 17, no. 5. American Physical Society, 2022.","chicago":"Li, Vyacheslav, Fritz R Diorico, and Onur Hosten. “Laser Frequency-Offset Locking at 10-Hz-Level Instability Using Hybrid Electronic Filters.” <i>Physical Review Applied</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/physrevapplied.17.054031\">https://doi.org/10.1103/physrevapplied.17.054031</a>.","mla":"Li, Vyacheslav, et al. “Laser Frequency-Offset Locking at 10-Hz-Level Instability Using Hybrid Electronic Filters.” <i>Physical Review Applied</i>, vol. 17, no. 5, 054031, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/physrevapplied.17.054031\">10.1103/physrevapplied.17.054031</a>.","short":"V. Li, F.R. Diorico, O. Hosten, Physical Review Applied 17 (2022).","ista":"Li V, Diorico FR, Hosten O. 2022. Laser frequency-offset locking at 10-Hz-level instability using hybrid electronic filters. Physical Review Applied. 17(5), 054031.","ama":"Li V, Diorico FR, Hosten O. Laser frequency-offset locking at 10-Hz-level instability using hybrid electronic filters. <i>Physical Review Applied</i>. 2022;17(5). doi:<a href=\"https://doi.org/10.1103/physrevapplied.17.054031\">10.1103/physrevapplied.17.054031</a>","apa":"Li, V., Diorico, F. R., &#38; Hosten, O. (2022). Laser frequency-offset locking at 10-Hz-level instability using hybrid electronic filters. <i>Physical Review Applied</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevapplied.17.054031\">https://doi.org/10.1103/physrevapplied.17.054031</a>"},"intvolume":"        17","date_updated":"2026-07-08T08:50:57Z","volume":17,"supplementarymaterial":"no","publication_identifier":{"issn":["2331-7019"]},"year":"2022","issue":"5","keyword":["General Physics and Astronomy"]},{"date_updated":"2026-07-27T12:47:43Z","publication_identifier":{"eisbn":["9783031198038"],"isbn":["9783031198021"]},"volume":13681,"page":"350-365","year":"2022","month":"10","arxiv":1,"type":"conference","status":"public","date_published":"2022-10-23T00:00:00Z","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2208.03160","open_access":"1"}],"title":"Almost-orthogonal layers for efficient general-purpose Lipschitz networks","intvolume":"     13681","citation":{"short":"B. Prach, C. Lampert, in:, Computer Vision – ECCV 2022, Springer Nature, 2022, pp. 350–365.","mla":"Prach, Bernd, and Christoph Lampert. “Almost-Orthogonal Layers for Efficient General-Purpose Lipschitz Networks.” <i>Computer Vision – ECCV 2022</i>, vol. 13681, Springer Nature, 2022, pp. 350–65, doi:<a href=\"https://doi.org/10.1007/978-3-031-19803-8_21\">10.1007/978-3-031-19803-8_21</a>.","ama":"Prach B, Lampert C. Almost-orthogonal layers for efficient general-purpose Lipschitz networks. In: <i>Computer Vision – ECCV 2022</i>. Vol 13681. Springer Nature; 2022:350-365. doi:<a href=\"https://doi.org/10.1007/978-3-031-19803-8_21\">10.1007/978-3-031-19803-8_21</a>","apa":"Prach, B., &#38; Lampert, C. (2022). Almost-orthogonal layers for efficient general-purpose Lipschitz networks. In <i>Computer Vision – ECCV 2022</i> (Vol. 13681, pp. 350–365). Tel Aviv, Israel: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-19803-8_21\">https://doi.org/10.1007/978-3-031-19803-8_21</a>","ista":"Prach B, Lampert C. 2022. Almost-orthogonal layers for efficient general-purpose Lipschitz networks. Computer Vision – ECCV 2022. ECCV: European Conference on Computer Vision, LNCS, vol. 13681, 350–365.","chicago":"Prach, Bernd, and Christoph Lampert. “Almost-Orthogonal Layers for Efficient General-Purpose Lipschitz Networks.” In <i>Computer Vision – ECCV 2022</i>, 13681:350–65. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/978-3-031-19803-8_21\">https://doi.org/10.1007/978-3-031-19803-8_21</a>.","ieee":"B. Prach and C. Lampert, “Almost-orthogonal layers for efficient general-purpose Lipschitz networks,” in <i>Computer Vision – ECCV 2022</i>, Tel Aviv, Israel, 2022, vol. 13681, pp. 350–365."},"publication_status":"published","external_id":{"isi":["000904104000021"],"arxiv":["2208.03160"]},"abstract":[{"text":"It is a highly desirable property for deep networks to be robust against\r\nsmall input changes. One popular way to achieve this property is by designing\r\nnetworks with a small Lipschitz constant. In this work, we propose a new\r\ntechnique for constructing such Lipschitz networks that has a number of\r\ndesirable properties: it can be applied to any linear network layer\r\n(fully-connected or convolutional), it provides formal guarantees on the\r\nLipschitz constant, it is easy to implement and efficient to run, and it can be\r\ncombined with any training objective and optimization method. In fact, our\r\ntechnique is the first one in the literature that achieves all of these\r\nproperties simultaneously. Our main contribution is a rescaling-based weight\r\nmatrix parametrization that guarantees each network layer to have a Lipschitz\r\nconstant of at most 1 and results in the learned weight matrices to be close to\r\northogonal. Hence we call such layers almost-orthogonal Lipschitz (AOL).\r\nExperiments and ablation studies in the context of image classification with\r\ncertified robust accuracy confirm that AOL layers achieve results that are on\r\npar with most existing methods. Yet, they are simpler to implement and more\r\nbroadly applicable, because they do not require computationally expensive\r\nmatrix orthogonalization or inversion steps as part of the network\r\narchitecture. We provide code at https://github.com/berndprach/AOL.","lang":"eng"}],"fulldoi":"https://doi.org/10.1007/978-3-031-19803-8_21","scopus_import":"1","doi":"10.1007/978-3-031-19803-8_21","department":[{"_id":"GradSch"},{"_id":"ChLa"}],"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"19759","status":"public"}]},"day":"23","corr_author":"1","publication":"Computer Vision – ECCV 2022","alternative_title":["LNCS"],"conference":{"name":"ECCV: European Conference on Computer Vision","start_date":"2022-10-23","end_date":"2022-10-27","location":"Tel Aviv, Israel"},"_id":"11839","oa_version":"Preprint","publisher":"Springer Nature","article_processing_charge":"No","oa":1,"quality_controlled":"1","date_created":"2022-08-12T15:09:47Z","isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Bernd","full_name":"Prach, Bernd","id":"2D561D42-C427-11E9-89B4-9C1AE6697425","last_name":"Prach"},{"last_name":"Lampert","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87","full_name":"Lampert, Christoph","first_name":"Christoph","orcid":"0000-0001-8622-7887"}]},{"intvolume":"     13498","citation":{"apa":"Henzinger, T. A., Mazzocchi, N. A., &#38; Sarac, N. E. (2022). Abstract monitors for quantitative specifications. In <i>22nd International Conference on Runtime Verification</i> (Vol. 13498, pp. 200–220). Tbilisi, Georgia: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-17196-3_11\">https://doi.org/10.1007/978-3-031-17196-3_11</a>","ama":"Henzinger TA, Mazzocchi NA, Sarac NE. Abstract monitors for quantitative specifications. In: <i>22nd International Conference on Runtime Verification</i>. Vol 13498. Springer Nature; 2022:200-220. doi:<a href=\"https://doi.org/10.1007/978-3-031-17196-3_11\">10.1007/978-3-031-17196-3_11</a>","ista":"Henzinger TA, Mazzocchi NA, Sarac NE. 2022. Abstract monitors for quantitative specifications. 22nd International Conference on Runtime Verification. RV: Runtime Verification, LNCS, vol. 13498, 200–220.","short":"T.A. Henzinger, N.A. Mazzocchi, N.E. Sarac, in:, 22nd International Conference on Runtime Verification, Springer Nature, 2022, pp. 200–220.","mla":"Henzinger, Thomas A., et al. “Abstract Monitors for Quantitative Specifications.” <i>22nd International Conference on Runtime Verification</i>, vol. 13498, Springer Nature, 2022, pp. 200–20, doi:<a href=\"https://doi.org/10.1007/978-3-031-17196-3_11\">10.1007/978-3-031-17196-3_11</a>.","chicago":"Henzinger, Thomas A, Nicolas Adrien Mazzocchi, and Naci E Sarac. “Abstract Monitors for Quantitative Specifications.” In <i>22nd International Conference on Runtime Verification</i>, 13498:200–220. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/978-3-031-17196-3_11\">https://doi.org/10.1007/978-3-031-17196-3_11</a>.","ieee":"T. A. Henzinger, N. A. Mazzocchi, and N. E. Sarac, “Abstract monitors for quantitative specifications,” in <i>22nd International Conference on Runtime Verification</i>, Tbilisi, Georgia, 2022, vol. 13498, pp. 200–220."},"date_published":"2022-09-23T00:00:00Z","title":"Abstract monitors for quantitative specifications","month":"09","type":"conference","status":"public","page":"200-220","year":"2022","publication_identifier":{"issn":["0302-9743"]},"volume":13498,"date_updated":"2026-07-27T12:48:18Z","file_date_updated":"2023-01-20T07:34:50Z","acknowledgement":"We thank the anonymous reviewers for their helpful comments. This work was supported in part by the ERC-2020-AdG 101020093.","project":[{"_id":"62781420-2b32-11ec-9570-8d9b63373d4d","call_identifier":"H2020","grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software"}],"department":[{"_id":"GradSch"},{"_id":"ToHe"}],"doi":"10.1007/978-3-031-17196-3_11","abstract":[{"text":"Quantitative monitoring can be universal and approximate: For every finite sequence of observations, the specification provides a value and the monitor outputs a best-effort approximation of it. The quality of the approximation may depend on the resources that are available to the monitor. By taking to the limit the sequences of specification values and monitor outputs, we obtain precision-resource trade-offs also for limit monitoring. This paper provides a formal framework for studying such trade-offs using an abstract interpretation for monitors: For each natural number n, the aggregate semantics of a monitor at time n is an equivalence relation over all sequences of at most n observations so that two equivalent sequences are indistinguishable to the monitor and thus mapped to the same output. This abstract interpretation of quantitative monitors allows us to measure the number of equivalence classes (or “resource use”) that is necessary for a certain precision up to a certain time, or at any time. Our framework offers several insights. For example, we identify a family of specifications for which any resource-optimal exact limit monitor is independent of any error permitted over finite traces. Moreover, we present a specification for which any resource-optimal approximate limit monitor does not minimize its resource use at any time. ","lang":"eng"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.1007/978-3-031-17196-3_11","scopus_import":"1","publication_status":"published","external_id":{"isi":["000866539700011"]},"_id":"11775","publisher":"Springer Nature","oa_version":"Published Version","article_processing_charge":"Yes","alternative_title":["LNCS"],"conference":{"start_date":"2022-09-28","end_date":"2022-09-30","location":"Tbilisi, Georgia","name":"RV: Runtime Verification"},"publication":"22nd International Conference on Runtime Verification","corr_author":"1","day":"23","related_material":{"record":[{"status":"public","id":"20147","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}],"author":[{"full_name":"Henzinger, Thomas A","first_name":"Thomas A","orcid":"0000-0002-2985-7724","last_name":"Henzinger","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Mazzocchi","id":"b26baa86-3308-11ec-87b0-8990f34baa85","full_name":"Mazzocchi, Nicolas Adrien","first_name":"Nicolas Adrien"},{"first_name":"Naci E","full_name":"Sarac, Naci E","id":"8C6B42F8-C8E6-11E9-A03A-F2DCE5697425","last_name":"Sarac"}],"ec_funded":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["000"],"isi":1,"file":[{"file_size":477110,"access_level":"open_access","checksum":"05c7dcfbb9053a98f46441fb2eccb213","creator":"dernst","relation":"main_file","date_created":"2023-01-20T07:34:50Z","file_name":"2022_LNCS_RV_Henzinger.pdf","file_id":"12317","success":1,"content_type":"application/pdf","date_updated":"2023-01-20T07:34:50Z"}],"date_created":"2022-08-08T17:09:09Z","quality_controlled":"1","oa":1,"has_accepted_license":"1"},{"publication_status":"published","external_id":{"isi":["000833007200002"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"lang":"eng","text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature."}],"scopus_import":"1","fulldoi":"https://doi.org/10.1007/s10955-022-02965-9","doi":"10.1007/s10955-022-02965-9","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331"}],"file_date_updated":"2022-08-08T07:36:34Z","date_updated":"2026-07-29T13:18:16Z","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"volume":189,"year":"2022","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","month":"07","status":"public","date_published":"2022-07-29T00:00:00Z","title":"The BCS energy gap at high density","intvolume":"       189","citation":{"ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. 2022;189. doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>","apa":"Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>.","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal of Statistical Physics</i>, vol. 189. Springer Nature, 2022.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>."},"oa":1,"has_accepted_license":"1","quality_controlled":"1","article_number":"5","date_created":"2022-08-05T11:36:56Z","isi":1,"file":[{"creator":"dernst","checksum":"b398c4dbf65f71d417981d6e366427e9","access_level":"open_access","file_size":419563,"content_type":"application/pdf","date_updated":"2022-08-08T07:36:34Z","success":1,"file_id":"11746","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","date_created":"2022-08-08T07:36:34Z","relation":"main_file"}],"ddc":["530"],"article_type":"original","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","ec_funded":1,"author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha"},{"last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288"}],"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"18135","status":"public"},{"id":"19540","status":"public","relation":"dissertation_contains"}]},"day":"29","corr_author":"1","publication":"Journal of Statistical Physics","_id":"11732","oa_version":"Published Version","publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)"},{"isi":1,"file":[{"file_id":"10647","date_updated":"2022-01-19T09:41:14Z","content_type":"application/pdf","success":1,"relation":"main_file","file_name":"2022_LettersMathPhys_Henheik.pdf","date_created":"2022-01-19T09:41:14Z","checksum":"7e8e69b76e892c305071a4736131fe18","creator":"cchlebak","file_size":357547,"access_level":"open_access"}],"ddc":["530"],"article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","pmid":1,"ec_funded":1,"author":[{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha"},{"full_name":"Teufel, Stefan","first_name":"Stefan","last_name":"Teufel"},{"full_name":"Wessel, Tom","first_name":"Tom","last_name":"Wessel"}],"oa":1,"has_accepted_license":"1","quality_controlled":"1","article_number":"9","date_created":"2022-01-18T16:18:25Z","publication":"Letters in Mathematical Physics","_id":"10642","oa_version":"Published Version","publisher":"Springer Nature","article_processing_charge":"No","language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19540"}]},"day":"18","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"acknowledgement":"J. H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for very helpful comments and discussions and Jürg Fröhlich for references to the literature. Open Access funding enabled and organized by Projekt DEAL.","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"publication_status":"published","external_id":{"pmid":["35125630"],"isi":["000744930400001"],"arxiv":["2106.13780"]},"abstract":[{"lang":"eng","text":"Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system only locally, even if they close the spectral gap. We call this a strong version of the local perturbations perturb locally (LPPL) principle which is known to hold for much more general gapped systems, but only for perturbations that do not close the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle to Hamiltonians that have the appropriate structure of gapped on-site terms and weak interactions only locally in some region of space. While our results are technically corollaries to a theorem of Yarotsky, we expect that the paradigm of systems with a locally gapped ground state that is completely insensitive to the form of the Hamiltonian elsewhere extends to other situations and has important physical consequences."}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","fulldoi":"https://doi.org/10.1007/s11005-021-01494-y","doi":"10.1007/s11005-021-01494-y","arxiv":1,"month":"01","type":"journal_article","status":"public","date_published":"2022-01-18T00:00:00Z","title":"Local stability of ground states in locally gapped and weakly interacting quantum spin systems","intvolume":"       112","citation":{"ama":"Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical Physics</i>. 2022;112(1). doi:<a href=\"https://doi.org/10.1007/s11005-021-01494-y\">10.1007/s11005-021-01494-y</a>","ista":"Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 112(1), 9.","apa":"Henheik, S. J., Teufel, S., &#38; Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01494-y\">https://doi.org/10.1007/s11005-021-01494-y</a>","mla":"Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 1, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-021-01494-y\">10.1007/s11005-021-01494-y</a>.","short":"S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).","ieee":"S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 1. Springer Nature, 2022.","chicago":"Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-021-01494-y\">https://doi.org/10.1007/s11005-021-01494-y</a>."},"file_date_updated":"2022-01-19T09:41:14Z","date_updated":"2026-07-29T13:18:16Z","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"volume":112,"issue":"1","keyword":["mathematical physics","statistical and nonlinear physics"],"year":"2022"},{"article_processing_charge":"Yes (via OA deal)","_id":"10623","publisher":"Springer Nature","oa_version":"Published Version","publication":"Mathematical Physics, Analysis and Geometry","corr_author":"1","day":"11","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19540"}]},"language":[{"iso":"eng"}],"author":[{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"}],"ec_funded":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","ddc":["514"],"file":[{"creator":"cchlebak","checksum":"d44f8123a52592a75b2c3b8ee2cd2435","access_level":"open_access","file_size":505804,"content_type":"application/pdf","date_updated":"2022-01-14T07:27:45Z","success":1,"file_id":"10624","file_name":"2022_MathPhyAnalGeo_Henheik.pdf","date_created":"2022-01-14T07:27:45Z","relation":"main_file"}],"isi":1,"date_created":"2022-01-13T15:40:53Z","article_number":"3","quality_controlled":"1","has_accepted_license":"1","oa":1,"citation":{"apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>","ama":"Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. 2022;25(1). doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>","ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3.","short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>.","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>.","ieee":"S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022."},"intvolume":"        25","title":"The BCS critical temperature at high density","date_published":"2022-01-11T00:00:00Z","status":"public","type":"journal_article","arxiv":1,"month":"01","year":"2022","issue":"1","keyword":["geometry and topology","mathematical physics"],"volume":25,"publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"date_updated":"2026-07-29T13:18:16Z","file_date_updated":"2022-01-14T07:27:45Z","acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"doi":"10.1007/s11040-021-09415-0","scopus_import":"1","fulldoi":"https://doi.org/10.1007/s11040-021-09415-0","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"lang":"eng","text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory."}],"external_id":{"isi":["000741387600001"],"arxiv":["2106.02015"]},"publication_status":"published"},{"fulldoi":"https://doi.org/10.15479/at:ista:12072","abstract":[{"lang":"eng","text":"In this thesis, we study two of the most important questions in Arithmetic geometry: that of the existence and density of solutions to Diophantine equations. In order for a Diophantine equation to have any solutions over the rational numbers, it must have solutions everywhere locally, i.e., over R and over Qp for every prime p. The converse, called the Hasse principle, is known to fail in general. However, it is still a central question in Arithmetic geometry to determine for which varieties the Hasse principle does hold. In this work, we establish the Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x) ̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform associated to a number field K. Our results cover products of arbitrarily many linear, quadratic or cubic factors, and generalise an argument of Irving [69], which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how our main sieve results can be applied to treat new cases of a conjecture of Harpaz and Wittenberg on locally split values of polynomials over number fields, and discuss consequences for rational points in fibrations.\r\nIn the second question, about the density of solutions, one defines a height function and seeks to estimate asymptotically the number of points of height bounded by B as B → ∞. Traditionally, one either counts rational points, or\r\nintegral points with respect to a suitable model. However, in this thesis, we study an emerging area of interest in Arithmetic geometry known as Campana points, which in some sense interpolate between rational and integral points.\r\nMore precisely, we count the number of nonzero integers z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all squareful and bounded by B. Using the circle method, we obtain an asymptotic formula which agrees in\r\nthe power of B and log B with a bold new generalisation of Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide the first known counterexamples to leading constant predicted by their conjecture. "}],"tmp":{"short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"doi":"10.15479/at:ista:12072","publication_status":"published","project":[{"grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program"}],"acknowledgement":"I acknowledge the received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement No. 665385.","department":[{"_id":"GradSch"},{"_id":"TiBr"}],"publication_identifier":{"isbn":["978-3-99078-023-7"],"issn":["2663-337X"]},"supplementarymaterial":"no","year":"2022","page":"208","file_date_updated":"2022-09-12T11:24:21Z","date_updated":"2026-08-06T11:09:27Z","title":"Existence and density problems in Diophantine geometry: From norm forms to Campana points","date_published":"2022-09-08T00:00:00Z","citation":{"chicago":"Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12072\">https://doi.org/10.15479/at:ista:12072</a>.","ieee":"A. L. Shute, “Existence and density problems in Diophantine geometry: From norm forms to Campana points,” Institute of Science and Technology Austria, 2022.","apa":"Shute, A. L. (2022). <i>Existence and density problems in Diophantine geometry: From norm forms to Campana points</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12072\">https://doi.org/10.15479/at:ista:12072</a>","ama":"Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12072\">10.15479/at:ista:12072</a>","ista":"Shute AL. 2022. Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria.","short":"A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.","mla":"Shute, Alec L. <i>Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12072\">10.15479/at:ista:12072</a>."},"status":"public","month":"09","type":"dissertation","date_created":"2022-09-08T21:53:03Z","has_accepted_license":"1","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ec_funded":1,"author":[{"last_name":"Shute","id":"440EB050-F248-11E8-B48F-1D18A9856A87","full_name":"Shute, Alec L","orcid":"0000-0002-1812-2810","first_name":"Alec L"}],"file":[{"relation":"main_file","file_name":"Thesis_final_draft.pdf","date_created":"2022-09-08T21:50:34Z","file_id":"12073","content_type":"application/pdf","date_updated":"2022-09-08T21:50:34Z","success":1,"file_size":1907386,"access_level":"open_access","checksum":"bf073344320e05d92c224786cec2e92d","creator":"ashute"},{"relation":"source_file","date_created":"2022-09-08T21:50:42Z","file_name":"athesis.tex","file_id":"12074","content_type":"application/octet-stream","date_updated":"2022-09-12T11:24:21Z","file_size":495393,"access_level":"closed","checksum":"b054ac6baa09f70e8235403a4abbed80","creator":"ashute"},{"access_level":"closed","file_size":944534,"creator":"ashute","checksum":"0a31e905f1cff5eb8110978cc90e1e79","file_name":"qfcjsfmtvtbfrjjvhdzrnqxfvgjvxtbf.zip","date_created":"2022-09-09T12:05:00Z","relation":"source_file","date_updated":"2022-09-12T11:24:21Z","content_type":"application/x-zip-compressed","file_id":"12078"}],"OA_place":"publisher","supervisor":[{"full_name":"Browning, Timothy D","first_name":"Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}],"ddc":["512"],"day":"08","language":[{"iso":"eng"}],"das_tickbox":"0","related_material":{"record":[{"id":"12076","status":"public","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"12077","status":"public"}]},"alternative_title":["ISTA Thesis"],"article_processing_charge":"No","doi_confirm":"1","_id":"12072","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","corr_author":"1","researchdata_availability":"no","degree_awarded":"PhD"}]
