---
_id: '9104'
abstract:
- lang: eng
text: We consider the free additive convolution of two probability measures μ and
ν on the real line and show that μ ⊞ v is supported on a single interval if μ
and ν each has single interval support. Moreover, the density of μ ⊞ ν is proven
to vanish as a square root near the edges of its support if both μ and ν have
power law behavior with exponents between −1 and 1 near their edges. In particular,
these results show the ubiquity of the conditions in our recent work on optimal
local law at the spectral edges for addition of random matrices [5].
acknowledgement: "Supported in part by Hong Kong RGC Grant ECS 26301517.\r\nSupported
in part by ERC Advanced Grant RANMAT No. 338804.\r\nSupported in part by the Knut
and Alice Wallenberg Foundation and the Swedish Research Council Grant VR-2017-05195."
article_processing_charge: No
article_type: original
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Kevin
full_name: Schnelli, Kevin
id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
last_name: Schnelli
orcid: 0000-0003-0954-3231
citation:
ama: Bao Z, Erdös L, Schnelli K. On the support of the free additive convolution.
Journal d’Analyse Mathematique. 2020;142:323-348. doi:10.1007/s11854-020-0135-2
apa: Bao, Z., Erdös, L., & Schnelli, K. (2020). On the support of the free additive
convolution. Journal d’Analyse Mathematique. Springer Nature. https://doi.org/10.1007/s11854-020-0135-2
chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “On the Support of the
Free Additive Convolution.” Journal d’Analyse Mathematique. Springer Nature,
2020. https://doi.org/10.1007/s11854-020-0135-2.
ieee: Z. Bao, L. Erdös, and K. Schnelli, “On the support of the free additive convolution,”
Journal d’Analyse Mathematique, vol. 142. Springer Nature, pp. 323–348,
2020.
ista: Bao Z, Erdös L, Schnelli K. 2020. On the support of the free additive convolution.
Journal d’Analyse Mathematique. 142, 323–348.
mla: Bao, Zhigang, et al. “On the Support of the Free Additive Convolution.” Journal
d’Analyse Mathematique, vol. 142, Springer Nature, 2020, pp. 323–48, doi:10.1007/s11854-020-0135-2.
short: Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020)
323–348.
date_created: 2021-02-07T23:01:15Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-08-24T11:16:03Z
day: '01'
department:
- _id: LaEr
doi: 10.1007/s11854-020-0135-2
ec_funded: 1
external_id:
arxiv:
- '1804.11199'
isi:
- '000611879400008'
intvolume: ' 142'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.11199
month: '11'
oa: 1
oa_version: Preprint
page: 323-348
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
publication: Journal d'Analyse Mathematique
publication_identifier:
eissn:
- '15658538'
issn:
- '00217670'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the support of the free additive convolution
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 142
year: '2020'
...
---
_id: '13071'
abstract:
- lang: eng
text: This dataset comprises all data shown in the plots of the main part of the
submitted article "Bidirectional Electro-Optic Wavelength Conversion in the Quantum
Ground State". Additional raw data are available from the corresponding author
on reasonable request.
article_processing_charge: No
author:
- first_name: William J
full_name: Hease, William J
id: 29705398-F248-11E8-B48F-1D18A9856A87
last_name: Hease
orcid: 0000-0001-9868-2166
- first_name: Alfredo R
full_name: Rueda Sanchez, Alfredo R
id: 3B82B0F8-F248-11E8-B48F-1D18A9856A87
last_name: Rueda Sanchez
orcid: 0000-0001-6249-5860
- first_name: Rishabh
full_name: Sahu, Rishabh
id: 47D26E34-F248-11E8-B48F-1D18A9856A87
last_name: Sahu
orcid: 0000-0001-6264-2162
- first_name: Matthias
full_name: Wulf, Matthias
id: 45598606-F248-11E8-B48F-1D18A9856A87
last_name: Wulf
orcid: 0000-0001-6613-1378
- first_name: Georg M
full_name: Arnold, Georg M
id: 3770C838-F248-11E8-B48F-1D18A9856A87
last_name: Arnold
orcid: 0000-0003-1397-7876
- first_name: Harald
full_name: Schwefel, Harald
last_name: Schwefel
- first_name: Johannes M
full_name: Fink, Johannes M
id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
last_name: Fink
orcid: 0000-0001-8112-028X
citation:
ama: Hease WJ, Rueda Sanchez AR, Sahu R, et al. Bidirectional electro-optic wavelength
conversion in the quantum ground state. 2020. doi:10.5281/ZENODO.4266025
apa: Hease, W. J., Rueda Sanchez, A. R., Sahu, R., Wulf, M., Arnold, G. M., Schwefel,
H., & Fink, J. M. (2020). Bidirectional electro-optic wavelength conversion
in the quantum ground state. Zenodo. https://doi.org/10.5281/ZENODO.4266025
chicago: Hease, William J, Alfredo R Rueda Sanchez, Rishabh Sahu, Matthias Wulf,
Georg M Arnold, Harald Schwefel, and Johannes M Fink. “Bidirectional Electro-Optic
Wavelength Conversion in the Quantum Ground State.” Zenodo, 2020. https://doi.org/10.5281/ZENODO.4266025.
ieee: W. J. Hease et al., “Bidirectional electro-optic wavelength conversion
in the quantum ground state.” Zenodo, 2020.
ista: Hease WJ, Rueda Sanchez AR, Sahu R, Wulf M, Arnold GM, Schwefel H, Fink JM.
2020. Bidirectional electro-optic wavelength conversion in the quantum ground
state, Zenodo, 10.5281/ZENODO.4266025.
mla: Hease, William J., et al. Bidirectional Electro-Optic Wavelength Conversion
in the Quantum Ground State. Zenodo, 2020, doi:10.5281/ZENODO.4266025.
short: W.J. Hease, A.R. Rueda Sanchez, R. Sahu, M. Wulf, G.M. Arnold, H. Schwefel,
J.M. Fink, (2020).
date_created: 2023-05-23T16:44:11Z
date_published: 2020-11-10T00:00:00Z
date_updated: 2023-08-24T11:16:35Z
day: '10'
ddc:
- '530'
department:
- _id: JoFi
doi: 10.5281/ZENODO.4266025
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.5281/zenodo.4266026
month: '11'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
record:
- id: '9114'
relation: used_in_publication
status: public
status: public
title: Bidirectional electro-optic wavelength conversion in the quantum ground state
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: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '9195'
abstract:
- lang: eng
text: Quantum information technology based on solid state qubits has created much
interest in converting quantum states from the microwave to the optical domain.
Optical photons, unlike microwave photons, can be transmitted by fiber, making
them suitable for long distance quantum communication. Moreover, the optical domain
offers access to a large set of very well‐developed quantum optical tools, such
as highly efficient single‐photon detectors and long‐lived quantum memories. For
a high fidelity microwave to optical transducer, efficient conversion at single
photon level and low added noise is needed. Currently, the most promising approaches
to build such systems are based on second‐order nonlinear phenomena such as optomechanical
and electro‐optic interactions. Alternative approaches, although not yet as efficient,
include magneto‐optical coupling and schemes based on isolated quantum systems
like atoms, ions, or quantum dots. Herein, the necessary theoretical foundations
for the most important microwave‐to‐optical conversion experiments are provided,
their implementations are described, and the current limitations and future prospects
are discussed.
acknowledgement: The authors thank Amita Deb for useful comments on this manuscript.
The authors acknowledge support from the MBIE of New Zealand Endeavour Smart Ideas
fund. The reference numbers in Figure 8 were corrected in April 2020, after online
publication.
article_number: '1900077'
article_processing_charge: No
article_type: original
author:
- first_name: Nicholas J.
full_name: Lambert, Nicholas J.
last_name: Lambert
- first_name: Alfredo R
full_name: Rueda Sanchez, Alfredo R
id: 3B82B0F8-F248-11E8-B48F-1D18A9856A87
last_name: Rueda Sanchez
orcid: 0000-0001-6249-5860
- first_name: Florian
full_name: Sedlmeir, Florian
last_name: Sedlmeir
- first_name: Harald G. L.
full_name: Schwefel, Harald G. L.
last_name: Schwefel
citation:
ama: Lambert NJ, Rueda Sanchez AR, Sedlmeir F, Schwefel HGL. Coherent conversion
between microwave and optical photons - An overview of physical implementations.
Advanced Quantum Technologies. 2020;3(1). doi:10.1002/qute.201900077
apa: Lambert, N. J., Rueda Sanchez, A. R., Sedlmeir, F., & Schwefel, H. G. L.
(2020). Coherent conversion between microwave and optical photons - An overview
of physical implementations. Advanced Quantum Technologies. Wiley. https://doi.org/10.1002/qute.201900077
chicago: Lambert, Nicholas J., Alfredo R Rueda Sanchez, Florian Sedlmeir, and Harald
G. L. Schwefel. “Coherent Conversion between Microwave and Optical Photons - An
Overview of Physical Implementations.” Advanced Quantum Technologies. Wiley,
2020. https://doi.org/10.1002/qute.201900077.
ieee: N. J. Lambert, A. R. Rueda Sanchez, F. Sedlmeir, and H. G. L. Schwefel, “Coherent
conversion between microwave and optical photons - An overview of physical implementations,”
Advanced Quantum Technologies, vol. 3, no. 1. Wiley, 2020.
ista: Lambert NJ, Rueda Sanchez AR, Sedlmeir F, Schwefel HGL. 2020. Coherent conversion
between microwave and optical photons - An overview of physical implementations.
Advanced Quantum Technologies. 3(1), 1900077.
mla: Lambert, Nicholas J., et al. “Coherent Conversion between Microwave and Optical
Photons - An Overview of Physical Implementations.” Advanced Quantum Technologies,
vol. 3, no. 1, 1900077, Wiley, 2020, doi:10.1002/qute.201900077.
short: N.J. Lambert, A.R. Rueda Sanchez, F. Sedlmeir, H.G.L. Schwefel, Advanced
Quantum Technologies 3 (2020).
date_created: 2021-02-25T08:52:36Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2023-08-24T13:53:02Z
day: '01'
ddc:
- '530'
department:
- _id: JoFi
doi: 10.1002/qute.201900077
external_id:
isi:
- '000548088300001'
file:
- access_level: open_access
checksum: 157e95abd6883c3b35b0fa78ae10775e
content_type: application/pdf
creator: dernst
date_created: 2021-03-02T12:30:03Z
date_updated: 2021-03-02T12:30:03Z
file_id: '9216'
file_name: 2020_AdvQuantumTech_Lambert.pdf
file_size: 2410114
relation: main_file
success: 1
file_date_updated: 2021-03-02T12:30:03Z
has_accepted_license: '1'
intvolume: ' 3'
isi: 1
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '01'
oa: 1
oa_version: Published Version
publication: Advanced Quantum Technologies
publication_identifier:
issn:
- 2511-9044
publication_status: published
publisher: Wiley
quality_controlled: '1'
related_material:
link:
- description: Cover Page
relation: poster
url: https://doi.org/10.1002/qute.202070011
status: public
title: Coherent conversion between microwave and optical photons - An overview of
physical implementations
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 3
year: '2020'
...
---
_id: '9011'
abstract:
- lang: eng
text: "Distributed ledgers provide high availability and integrity, making them
a key enabler for practical and secure computation of distributed workloads among
mutually distrustful parties. Many practical applications also require strong
confidentiality, however. This work enhances permissioned and permissionless blockchains
with the ability to manage confidential data without forfeiting availability or
decentralization. The proposed Calypso architecture addresses two orthogonal challenges
confronting modern distributed ledgers: (a) enabling the auditable management
of secrets and (b) protecting distributed computations against arbitrage attacks
when their results depend on the ordering and secrecy of inputs.\r\n\r\nCalypso
introduces on-chain secrets, a novel abstraction that enforces atomic deposition
of an auditable trace whenever users access confidential data. Calypso provides
user-controlled consent management that ensures revocation atomicity and accountable
anonymity. To enable permissionless deployment, we introduce an incentive scheme
and provide users with the option to select their preferred trustees. We evaluated
our Calypso prototype with a confidential document-sharing application and a decentralized
lottery. Our benchmarks show that transaction-processing latency increases linearly
in terms of security (number of trustees) and is in the range of 0.2 to 8 seconds
for 16 to 128 trustees."
acknowledgement: 'We thank Nicolas Gailly, Vincent Graf, Jean-Pierre Hubaux, Wouter
Lueks, Massimo Marelli, Carmela Troncoso, Juan-Ramón Troncoso Pastoriza, Frédéric
Pont, and Sandra Siby for their valuable feedback. This project was supported in
part by the ETH domain under PHRT grant #2017−201, and by the AXA Research Fund,
Byzgen, DFINITY, and the Swiss Data Science Center (SDSC).'
article_processing_charge: No
article_type: original
author:
- first_name: Eleftherios
full_name: Kokoris Kogias, Eleftherios
id: f5983044-d7ef-11ea-ac6d-fd1430a26d30
last_name: Kokoris Kogias
- first_name: Enis Ceyhun
full_name: Alp, Enis Ceyhun
last_name: Alp
- first_name: Linus
full_name: Gasser, Linus
last_name: Gasser
- first_name: Philipp
full_name: Jovanovic, Philipp
last_name: Jovanovic
- first_name: Ewa
full_name: Syta, Ewa
last_name: Syta
- first_name: Bryan
full_name: Ford, Bryan
last_name: Ford
citation:
ama: 'Kokoris Kogias E, Alp EC, Gasser L, Jovanovic P, Syta E, Ford B. CALYPSO:
Private data management for decentralized ledgers. Proceedings of the VLDB
Endowment. 2020;14(4):586-599. doi:10.14778/3436905.3436917'
apa: 'Kokoris Kogias, E., Alp, E. C., Gasser, L., Jovanovic, P., Syta, E., &
Ford, B. (2020). CALYPSO: Private data management for decentralized ledgers. Proceedings
of the VLDB Endowment. Association for Computing Machinery. https://doi.org/10.14778/3436905.3436917'
chicago: 'Kokoris Kogias, Eleftherios, Enis Ceyhun Alp, Linus Gasser, Philipp Jovanovic,
Ewa Syta, and Bryan Ford. “CALYPSO: Private Data Management for Decentralized
Ledgers.” Proceedings of the VLDB Endowment. Association for Computing
Machinery, 2020. https://doi.org/10.14778/3436905.3436917.'
ieee: 'E. Kokoris Kogias, E. C. Alp, L. Gasser, P. Jovanovic, E. Syta, and B. Ford,
“CALYPSO: Private data management for decentralized ledgers,” Proceedings of
the VLDB Endowment, vol. 14, no. 4. Association for Computing Machinery, pp.
586–599, 2020.'
ista: 'Kokoris Kogias E, Alp EC, Gasser L, Jovanovic P, Syta E, Ford B. 2020. CALYPSO:
Private data management for decentralized ledgers. Proceedings of the VLDB Endowment.
14(4), 586–599.'
mla: 'Kokoris Kogias, Eleftherios, et al. “CALYPSO: Private Data Management for
Decentralized Ledgers.” Proceedings of the VLDB Endowment, vol. 14, no.
4, Association for Computing Machinery, 2020, pp. 586–99, doi:10.14778/3436905.3436917.'
short: E. Kokoris Kogias, E.C. Alp, L. Gasser, P. Jovanovic, E. Syta, B. Ford, Proceedings
of the VLDB Endowment 14 (2020) 586–599.
date_created: 2021-01-17T23:01:13Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-08-24T13:57:13Z
day: '01'
department:
- _id: ElKo
doi: 10.14778/3436905.3436917
external_id:
isi:
- '000658495400012'
intvolume: ' 14'
isi: 1
issue: '4'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
url: https://dl.acm.org/doi/10.14778/3436905.3436917
month: '12'
oa: 1
oa_version: Published Version
page: 586-599
publication: Proceedings of the VLDB Endowment
publication_identifier:
eissn:
- 2150-8097
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'CALYPSO: Private data management for decentralized ledgers'
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
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 14
year: '2020'
...
---
_id: '8308'
abstract:
- lang: eng
text: 'Many-body localization provides a mechanism to avoid thermalization in isolated
interacting quantum systems. The breakdown of thermalization may be complete,
when all eigenstates in the many-body spectrum become localized, or partial, when
the so-called many-body mobility edge separates localized and delocalized parts
of the spectrum. Previously, De Roeck et al. [Phys. Rev. B 93, 014203 (2016)]
suggested a possible instability of the many-body mobility edge in energy density.
The local ergodic regions—so-called “bubbles”—resonantly spread throughout the
system, leading to delocalization. In order to study such instability mechanism,
in this work we design a model featuring many-body mobility edge in particle density:
the states at small particle density are localized, while increasing the density
of particles leads to delocalization. Using numerical simulations with matrix
product states, we demonstrate the stability of many-body localization with respect
to small bubbles in large dilute systems for experimentally relevant timescales.
In addition, we demonstrate that processes where the bubble spreads are favored
over processes that lead to resonant tunneling, suggesting a possible mechanism
behind the observed stability of many-body mobility edge. We conclude by proposing
experiments to probe particle density mobility edge in the Bose-Hubbard model.'
acknowledgement: 'Acknowledgments. We acknowledge useful discussions with W. De Roeck
and A. Michailidis. P.B. was supported by the European Union''s Horizon 2020 research
and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 665385.
D.A. was supported by the Swiss National Science Foundation. M.S. was supported
by European Research Council (ERC) under the European Union''s Horizon 2020 research
and innovation program (Grant Agreement No. 850899). This work benefited from visits
to KITP, supported by the National Science Foundation under Grant No. NSF PHY-1748958
and from the program “Thermalization, Many Body Localization and Hydrodynamics”
at International Centre for Theoretical Sciences (Code: ICTS/hydrodynamics2019/11).'
article_number: 060202(R)
article_processing_charge: No
article_type: original
author:
- first_name: Pietro
full_name: Brighi, Pietro
id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
last_name: Brighi
orcid: 0000-0002-7969-2729
- first_name: Dmitry A.
full_name: Abanin, Dmitry A.
last_name: Abanin
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Brighi P, Abanin DA, Serbyn M. Stability of mobility edges in disordered interacting
systems. Physical Review B. 2020;102(6). doi:10.1103/physrevb.102.060202
apa: Brighi, P., Abanin, D. A., & Serbyn, M. (2020). Stability of mobility edges
in disordered interacting systems. Physical Review B. American Physical
Society. https://doi.org/10.1103/physrevb.102.060202
chicago: Brighi, Pietro, Dmitry A. Abanin, and Maksym Serbyn. “Stability of Mobility
Edges in Disordered Interacting Systems.” Physical Review B. American Physical
Society, 2020. https://doi.org/10.1103/physrevb.102.060202.
ieee: P. Brighi, D. A. Abanin, and M. Serbyn, “Stability of mobility edges in disordered
interacting systems,” Physical Review B, vol. 102, no. 6. American Physical
Society, 2020.
ista: Brighi P, Abanin DA, Serbyn M. 2020. Stability of mobility edges in disordered
interacting systems. Physical Review B. 102(6), 060202(R).
mla: Brighi, Pietro, et al. “Stability of Mobility Edges in Disordered Interacting
Systems.” Physical Review B, vol. 102, no. 6, 060202(R), American Physical
Society, 2020, doi:10.1103/physrevb.102.060202.
short: P. Brighi, D.A. Abanin, M. Serbyn, Physical Review B 102 (2020).
date_created: 2020-08-26T19:27:42Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2023-08-24T14:20:21Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevb.102.060202
ec_funded: 1
external_id:
isi:
- '000562628300001'
file:
- access_level: open_access
checksum: 716442fa7861323fcc80b93718ca009c
content_type: application/pdf
creator: mserbyn
date_created: 2020-08-26T19:28:55Z
date_updated: 2020-08-26T19:28:55Z
file_id: '8309'
file_name: PhysRevB.102.060202.pdf
file_size: 488825
relation: main_file
success: 1
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checksum: be0abdc8f60fe065ea6dc92e08487122
content_type: application/pdf
creator: mserbyn
date_created: 2020-08-26T19:29:00Z
date_updated: 2020-08-26T19:29:00Z
file_id: '8310'
file_name: Supplementary-mbme.pdf
file_size: 711405
relation: main_file
success: 1
file_date_updated: 2020-08-26T19:29:00Z
has_accepted_license: '1'
intvolume: ' 102'
isi: 1
issue: '6'
language:
- iso: eng
month: '08'
oa: 1
oa_version: None
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
call_identifier: H2020
grant_number: '850899'
name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '12732'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stability of mobility edges in disordered interacting systems
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 102
year: '2020'
...
---
_id: '10862'
abstract:
- lang: eng
text: We consider the sum of two large Hermitian matrices A and B with a Haar unitary
conjugation bringing them into a general relative position. We prove that the
eigenvalue density on the scale slightly above the local eigenvalue spacing is
asymptotically given by the free additive convolution of the laws of A and B as
the dimension of the matrix increases. This implies optimal rigidity of the eigenvalues
and optimal rate of convergence in Voiculescu's theorem. Our previous works [4],
[5] established these results in the bulk spectrum, the current paper completely
settles the problem at the spectral edges provided they have the typical square-root
behavior. The key element of our proof is to compensate the deterioration of the
stability of the subordination equations by sharp error estimates that properly
account for the local density near the edge. Our results also hold if the Haar
unitary matrix is replaced by the Haar orthogonal matrix.
acknowledgement: Partially supported by ERC Advanced Grant RANMAT No. 338804.
article_number: '108639'
article_processing_charge: No
article_type: original
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Kevin
full_name: Schnelli, Kevin
last_name: Schnelli
citation:
ama: Bao Z, Erdös L, Schnelli K. Spectral rigidity for addition of random matrices
at the regular edge. Journal of Functional Analysis. 2020;279(7). doi:10.1016/j.jfa.2020.108639
apa: Bao, Z., Erdös, L., & Schnelli, K. (2020). Spectral rigidity for addition
of random matrices at the regular edge. Journal of Functional Analysis.
Elsevier. https://doi.org/10.1016/j.jfa.2020.108639
chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “Spectral Rigidity for
Addition of Random Matrices at the Regular Edge.” Journal of Functional Analysis.
Elsevier, 2020. https://doi.org/10.1016/j.jfa.2020.108639.
ieee: Z. Bao, L. Erdös, and K. Schnelli, “Spectral rigidity for addition of random
matrices at the regular edge,” Journal of Functional Analysis, vol. 279,
no. 7. Elsevier, 2020.
ista: Bao Z, Erdös L, Schnelli K. 2020. Spectral rigidity for addition of random
matrices at the regular edge. Journal of Functional Analysis. 279(7), 108639.
mla: Bao, Zhigang, et al. “Spectral Rigidity for Addition of Random Matrices at
the Regular Edge.” Journal of Functional Analysis, vol. 279, no. 7, 108639,
Elsevier, 2020, doi:10.1016/j.jfa.2020.108639.
short: Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
date_created: 2022-03-18T10:18:59Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-08-24T14:08:42Z
day: '15'
department:
- _id: LaEr
doi: 10.1016/j.jfa.2020.108639
ec_funded: 1
external_id:
arxiv:
- '1708.01597'
isi:
- '000559623200009'
intvolume: ' 279'
isi: 1
issue: '7'
keyword:
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1708.01597
month: '10'
oa: 1
oa_version: Preprint
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
publication: Journal of Functional Analysis
publication_identifier:
issn:
- 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Spectral rigidity for addition of random matrices at the regular edge
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 279
year: '2020'
...
---
_id: '10867'
abstract:
- lang: eng
text: In this paper we find a tight estimate for Gromov’s waist of the balls in
spaces of constant curvature, deduce the estimates for the balls in Riemannian
manifolds with upper bounds on the curvature (CAT(ϰ)-spaces), and establish similar
result for normed spaces.
acknowledgement: ' Supported by the Russian Foundation for Basic Research grant 18-01-00036.'
article_processing_charge: No
article_type: original
author:
- first_name: Arseniy
full_name: Akopyan, Arseniy
id: 430D2C90-F248-11E8-B48F-1D18A9856A87
last_name: Akopyan
orcid: 0000-0002-2548-617X
- first_name: Roman
full_name: Karasev, Roman
last_name: Karasev
citation:
ama: Akopyan A, Karasev R. Waist of balls in hyperbolic and spherical spaces. International
Mathematics Research Notices. 2020;2020(3):669-697. doi:10.1093/imrn/rny037
apa: Akopyan, A., & Karasev, R. (2020). Waist of balls in hyperbolic and spherical
spaces. International Mathematics Research Notices. Oxford University Press.
https://doi.org/10.1093/imrn/rny037
chicago: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and
Spherical Spaces.” International Mathematics Research Notices. Oxford University
Press, 2020. https://doi.org/10.1093/imrn/rny037.
ieee: A. Akopyan and R. Karasev, “Waist of balls in hyperbolic and spherical spaces,”
International Mathematics Research Notices, vol. 2020, no. 3. Oxford University
Press, pp. 669–697, 2020.
ista: Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces.
International Mathematics Research Notices. 2020(3), 669–697.
mla: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical
Spaces.” International Mathematics Research Notices, vol. 2020, no. 3,
Oxford University Press, 2020, pp. 669–97, doi:10.1093/imrn/rny037.
short: A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020)
669–697.
date_created: 2022-03-18T11:39:30Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2023-08-24T14:19:55Z
day: '01'
department:
- _id: HeEd
doi: 10.1093/imrn/rny037
external_id:
arxiv:
- '1702.07513'
isi:
- '000522852700002'
intvolume: ' 2020'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1702.07513
month: '02'
oa: 1
oa_version: Preprint
page: 669-697
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Waist of balls in hyperbolic and spherical spaces
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2020
year: '2020'
...
---
_id: '9799'
abstract:
- lang: eng
text: Fitness interactions between mutations can influence a population’s evolution
in many different ways. While epistatic effects are difficult to measure precisely,
important information is captured by the mean and variance of log fitnesses for
individuals carrying different numbers of mutations. We derive predictions for
these quantities from a class of simple fitness landscapes, based on models of
optimizing selection on quantitative traits. We also explore extensions to the
models, including modular pleiotropy, variable effect sizes, mutational bias and
maladaptation of the wild type. We illustrate our approach by reanalysing a large
dataset of mutant effects in a yeast snoRNA. Though characterized by some large
epistatic effects, these data give a good overall fit to the non-epistatic null
model, suggesting that epistasis might have limited influence on the evolutionary
dynamics in this system. We also show how the amount of epistasis depends on both
the underlying fitness landscape and the distribution of mutations, and so is
expected to vary in consistent ways between new mutations, standing variation
and fixed mutations.
article_processing_charge: No
author:
- first_name: Christelle
full_name: Fraisse, Christelle
id: 32DF5794-F248-11E8-B48F-1D18A9856A87
last_name: Fraisse
orcid: 0000-0001-8441-5075
- first_name: John J.
full_name: Welch, John J.
last_name: Welch
citation:
ama: Fraisse C, Welch JJ. Simulation code for Fig S1 from the distribution of epistasis
on simple fitness landscapes. 2020. doi:10.6084/m9.figshare.7957469.v1
apa: Fraisse, C., & Welch, J. J. (2020). Simulation code for Fig S1 from the
distribution of epistasis on simple fitness landscapes. Royal Society of London.
https://doi.org/10.6084/m9.figshare.7957469.v1
chicago: Fraisse, Christelle, and John J. Welch. “Simulation Code for Fig S1 from
the Distribution of Epistasis on Simple Fitness Landscapes.” Royal Society of
London, 2020. https://doi.org/10.6084/m9.figshare.7957469.v1.
ieee: C. Fraisse and J. J. Welch, “Simulation code for Fig S1 from the distribution
of epistasis on simple fitness landscapes.” Royal Society of London, 2020.
ista: Fraisse C, Welch JJ. 2020. Simulation code for Fig S1 from the distribution
of epistasis on simple fitness landscapes, Royal Society of London, 10.6084/m9.figshare.7957469.v1.
mla: Fraisse, Christelle, and John J. Welch. Simulation Code for Fig S1 from
the Distribution of Epistasis on Simple Fitness Landscapes. Royal Society
of London, 2020, doi:10.6084/m9.figshare.7957469.v1.
short: C. Fraisse, J.J. Welch, (2020).
date_created: 2021-08-06T11:26:57Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-08-25T10:34:41Z
day: '15'
department:
- _id: BeVi
- _id: NiBa
doi: 10.6084/m9.figshare.7957469.v1
main_file_link:
- open_access: '1'
url: https://doi.org/10.6084/m9.figshare.7957469.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society of London
related_material:
record:
- id: '6467'
relation: used_in_publication
status: public
status: public
title: Simulation code for Fig S1 from the distribution of epistasis on simple fitness
landscapes
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '9798'
abstract:
- lang: eng
text: Fitness interactions between mutations can influence a population’s evolution
in many different ways. While epistatic effects are difficult to measure precisely,
important information is captured by the mean and variance of log fitnesses for
individuals carrying different numbers of mutations. We derive predictions for
these quantities from a class of simple fitness landscapes, based on models of
optimizing selection on quantitative traits. We also explore extensions to the
models, including modular pleiotropy, variable effect sizes, mutational bias and
maladaptation of the wild type. We illustrate our approach by reanalysing a large
dataset of mutant effects in a yeast snoRNA. Though characterized by some large
epistatic effects, these data give a good overall fit to the non-epistatic null
model, suggesting that epistasis might have limited influence on the evolutionary
dynamics in this system. We also show how the amount of epistasis depends on both
the underlying fitness landscape and the distribution of mutations, and so is
expected to vary in consistent ways between new mutations, standing variation
and fixed mutations.
article_processing_charge: No
author:
- first_name: Christelle
full_name: Fraisse, Christelle
id: 32DF5794-F248-11E8-B48F-1D18A9856A87
last_name: Fraisse
orcid: 0000-0001-8441-5075
- first_name: John J.
full_name: Welch, John J.
last_name: Welch
citation:
ama: Fraisse C, Welch JJ. Simulation code for Fig S2 from the distribution of epistasis
on simple fitness landscapes. 2020. doi:10.6084/m9.figshare.7957472.v1
apa: Fraisse, C., & Welch, J. J. (2020). Simulation code for Fig S2 from the
distribution of epistasis on simple fitness landscapes. Royal Society of London.
https://doi.org/10.6084/m9.figshare.7957472.v1
chicago: Fraisse, Christelle, and John J. Welch. “Simulation Code for Fig S2 from
the Distribution of Epistasis on Simple Fitness Landscapes.” Royal Society of
London, 2020. https://doi.org/10.6084/m9.figshare.7957472.v1.
ieee: C. Fraisse and J. J. Welch, “Simulation code for Fig S2 from the distribution
of epistasis on simple fitness landscapes.” Royal Society of London, 2020.
ista: Fraisse C, Welch JJ. 2020. Simulation code for Fig S2 from the distribution
of epistasis on simple fitness landscapes, Royal Society of London, 10.6084/m9.figshare.7957472.v1.
mla: Fraisse, Christelle, and John J. Welch. Simulation Code for Fig S2 from
the Distribution of Epistasis on Simple Fitness Landscapes. Royal Society
of London, 2020, doi:10.6084/m9.figshare.7957472.v1.
short: C. Fraisse, J.J. Welch, (2020).
date_created: 2021-08-06T11:18:15Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-08-25T10:34:41Z
day: '15'
department:
- _id: BeVi
- _id: NiBa
doi: 10.6084/m9.figshare.7957472.v1
main_file_link:
- open_access: '1'
url: https://doi.org/10.6084/m9.figshare.7957472.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society of London
related_material:
record:
- id: '6467'
relation: used_in_publication
status: public
status: public
title: Simulation code for Fig S2 from the distribution of epistasis on simple fitness
landscapes
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '6488'
abstract:
- lang: eng
text: We prove a central limit theorem for the difference of linear eigenvalue statistics
of a sample covariance matrix W˜ and its minor W. We find that the fluctuation
of this difference is much smaller than those of the individual linear statistics,
as a consequence of the strong correlation between the eigenvalues of W˜ and W.
Our result identifies the fluctuation of the spatial derivative of the approximate
Gaussian field in the recent paper by Dumitru and Paquette. Unlike in a similar
result for Wigner matrices, for sample covariance matrices, the fluctuation may
entirely vanish.
article_number: '2050006'
article_processing_charge: No
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
citation:
ama: 'Cipolloni G, Erdös L. Fluctuations for differences of linear eigenvalue statistics
for sample covariance matrices. Random Matrices: Theory and Application.
2020;9(3). doi:10.1142/S2010326320500069'
apa: 'Cipolloni, G., & Erdös, L. (2020). Fluctuations for differences of linear
eigenvalue statistics for sample covariance matrices. Random Matrices: Theory
and Application. World Scientific Publishing. https://doi.org/10.1142/S2010326320500069'
chicago: 'Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of
Linear Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices:
Theory and Application. World Scientific Publishing, 2020. https://doi.org/10.1142/S2010326320500069.'
ieee: 'G. Cipolloni and L. Erdös, “Fluctuations for differences of linear eigenvalue
statistics for sample covariance matrices,” Random Matrices: Theory and Application,
vol. 9, no. 3. World Scientific Publishing, 2020.'
ista: 'Cipolloni G, Erdös L. 2020. Fluctuations for differences of linear eigenvalue
statistics for sample covariance matrices. Random Matrices: Theory and Application.
9(3), 2050006.'
mla: 'Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear
Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices: Theory
and Application, vol. 9, no. 3, 2050006, World Scientific Publishing, 2020,
doi:10.1142/S2010326320500069.'
short: 'G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).'
date_created: 2019-05-26T21:59:14Z
date_published: 2020-07-01T00:00:00Z
date_updated: 2023-08-28T08:38:48Z
day: '01'
department:
- _id: LaEr
doi: 10.1142/S2010326320500069
ec_funded: 1
external_id:
arxiv:
- '1806.08751'
isi:
- '000547464400001'
intvolume: ' 9'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1806.08751
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: 'Random Matrices: Theory and Application'
publication_identifier:
eissn:
- '20103271'
issn:
- '20103263'
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fluctuations for differences of linear eigenvalue statistics for sample covariance
matrices
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 9
year: '2020'
...