Geometric Structures - Julian Sahasrabudhe - May 11 - 4:15 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All, 

This is a reminder of today's seminar from the series "Geometric
Structures".

Speaker: JULIAN SAHASRABUDHE  [1](University of Cambridge) [1] 

Title:      Anti-concentration and the geometry of polynomials 

Time:      May 11, 2021, 4:15 pm (Rome Time)  

Venue:    from remote only, on zoom at this link 
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[2]
Passcode: geometry

Abstract:  

Let X be a random variable taking values in {0,...,n} with standard
deviation sigma and let f_X be its probability generating function.
Pemantle conjectured that if sigma is large and f_X has no roots close
to 1 in the complex plane then X must approximate a normal distribution.
In this talk, I will discuss the resolution of Pemantle's conjecture and
its application to prove a conjecture of Ghosh, Liggett and Pemantle by
proving a multivariate central limit theorem for, so called, strong
Rayleigh distributions. I will also touch on some more recent work
connecting anti-concentration for random variables with the zeros of
their probability generating functions. 

This talk is based on joint work with Marcus Michelen. 

More information can be found here:
https://sites.google.com/view/geometric-structures/ [3] 

Everyone is welcome! 
-- 
_Miruna-Stefana Sorea_
_Postdoctoral Researcher_
_Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste,
Italy_
_HTTPS://SITES.GOOGLE.COM/VIEW/MIRUNASTEFANASOREA/_ 

Links:
------
[1]
https://www.google.com/url?q=https%3A%2F%2Fwww.dpmms.cam.ac.uk%2F~jdrs2%2F&sa=D&sntz=1&usg=AFQjCNFrGP-X9PecZ765s-Sv1NJc6lX51w
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/