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dc.contributor.author
Cipolloni, Giorgio
dc.contributor.author
Erdős, László
dc.contributor.author
Schröder, Dominik
dc.date.accessioned
2023-02-14T09:27:12Z
dc.date.available
2023-02-13T12:44:26Z
dc.date.available
2023-02-14T09:27:12Z
dc.date.issued
2022
dc.identifier.issn
1083-6489
dc.identifier.other
10.1214/22-EJP838
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/598155
dc.description.abstract
We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a Wigner random matrix with deterministic matrices in between. We find that the size of such products heavily depends on whether some of the deterministic matrices are traceless. Our estimates correctly account for this dependence and they hold optimally down to the smallest possible spectral scale.
en_US
dc.language.iso
en
en_US
dc.publisher
Institute of Mathematical Statistics
en_US
dc.subject
global law
en_US
dc.subject
local law
en_US
dc.subject
random matrices
en_US
dc.title
Optimal multi-resolvent local laws for Wigner matrices
en_US
dc.type
Journal Article
dc.date.published
2022-09-12
ethz.journal.title
Electronic Journal of Probability
ethz.journal.volume
27
en_US
ethz.journal.abbreviated
Electron. J. Probab.
ethz.pages.start
117
en_US
ethz.size
38 p.
en_US
ethz.identifier.wos
ethz.publication.place
Waite Hill, OH
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2023-02-13T12:44:34Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2023-02-14T09:27:13Z
ethz.rosetta.lastUpdated
2023-02-14T09:27:13Z
ethz.rosetta.versionExported
true
ethz.COinS
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