University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Roots of random polynomials near the unit circle

## Roots of random polynomials near the unit circleAdd to your list(s) Download to your calendar using vCal - Marcus Michelen (University of Illinois at Chicago)
- Thursday 22 October 2020, 16:00-17:00
- https://bham-ac-uk.zoom.us/j/83022685017?pwd=L1RQclI2dmIvL2RXeUNCblpuanlBUT09.
If you have a question about this talk, please contact M.Jenssen. It is a well-known (but perhaps surprising) fact that a polynomial with independent random coefficients has most of its roots very close to the unit circle. Using a probabilistic and combinatorial perspective, we understand the behavior of roots of random polynomials exceptionally close to the unit circle and prove several limit theorems; these results resolve several conjectures of Shepp and Vanderbei. We will also discuss how our techniques provide a heuristic, combinatorial explanation for why random polynomials tend to have most roots near the unit circle. Based on joint work with Julian Sahasrabudhe.
https://bham-ac-uk.zoom.us/j/83022685017?pwd=L1RQclI2dmIvL2RXeUNCblpuanlBUT09 Meeting ID: 830 2268 5017 Passcode: 101833 This talk is part of the Combinatorics and Probability Seminar series. ## This talk is included in these lists:- Combinatorics and Probability Seminar
- School of Mathematics Events
- https://bham-ac-uk.zoom.us/j/83022685017?pwd=L1RQclI2dmIvL2RXeUNCblpuanlBUT09
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