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SUMMARY:Bernoulli flow and optimal delocalisation for Erdös-Rényi graphs
DTSTART:20260604T120000Z
DTEND:20260604T130000Z
DTSTAMP:20260615T212500Z
UID:indico-event-15374@indico.math.cnrs.fr
DESCRIPTION:Speakers: Joscha Henheik\n\nWe present a new dynamical way of 
 establishing local laws for sparse random matrices\, the Bernoulli flow me
 thod. It is based on a Markovian jump process\, where the entries of the m
 atrix jump independently from 0 to 1 at rate one. As an application\, we s
 how optimal (up to a constant) isotropic delocalisation for bulk eigenvect
 ors of Erdös-Rényi graphs with edge probability p \\geq (log N)^2/N. In 
 the same regime\, we obtain a local law with optimal (up to a constant) er
 ror bounds. Joint work with Antti Knowles.\n\nhttps://indico.math.cnrs.fr/
 event/15374/
LOCATION:435 (ENS de Lyon)
URL:https://indico.math.cnrs.fr/event/15374/
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