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