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SUMMARY:Marcus Michelen (University of Illinois at Chicago)
DTSTART:20210125T140000Z
DTEND:20210125T150000Z
DTSTAMP:20260423T052334Z
UID:EPC/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EPC/44/">Roo
 ts of random polynomials near the unit circle</a>\nby Marcus Michelen (Uni
 versity of Illinois at Chicago) as part of Extremal and probabilistic comb
 inatorics webinar\n\n\nAbstract\nIt is a well-known (but perhaps surprisin
 g) fact that a polynomial with independent random coefficients has most of
  its roots very close to the unit circle. Using a probabilistic perspectiv
 e\, we understand the behavior of roots of random polynomials exceptionall
 y close to the unit circle and prove several limit theorems\; these result
 s resolve several conjectures of Shepp and Vanderbei. We will also discuss
  how our techniques provide a heuristic\, probabilistic explanation for wh
 y random polynomials tend to have most roots near the unit circle. Based o
 n joint work with Julian Sahasrabudhe.\n
LOCATION:https://researchseminars.org/talk/EPC/44/
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