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SUMMARY:The spectral radius of a Girko matrix and its characteristic polyn
omial
DTSTART;VALUE=DATE-TIME:20210128T130000Z
DTEND;VALUE=DATE-TIME:20210128T140000Z
DTSTAMP;VALUE=DATE-TIME:20210227T060457Z
UID:indico-event-6358@indico.math.cnrs.fr
DESCRIPTION:The focus of this talk will be on random matrices with square-
integrable i.i.d. cooefficients\, also known as Girko matrices. It is know
n\, by a series of works that begins with Girko (1984) and ends with Tao a
nd Vu (2010)\, that the empirical measures of properly normalized Girko ma
trices converge to the uniform measure on the unit disk. The question of t
he existence of outliers naturally appears. I will show\, by a study of th
e characteristic polynomial of Girko matrices\, that this question can be
answered negatively. This talk is based on a joint work with Charles Borde
nave and Djalil Chafaï [arXiv:2012.05602].\n\nhttps://indico.math.cnrs.fr
/event/6358/
LOCATION:A préciser
URL:https://indico.math.cnrs.fr/event/6358/
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