Metadata only
Datum
2022Typ
- Journal Article
ETH Bibliographie
yes
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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. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Electronic Journal of ProbabilityBand
Seiten / Artikelnummer
Verlag
Institute of Mathematical StatisticsThema
global law; local law; random matricesETH Bibliographie
yes
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