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UID:20260729T141301EDT-55665LTVKK@132.216.98.100
DTSTAMP:20260729T181301Z
DESCRIPTION:Title: Random dot products and roots of random polynomials\nAbs
 tract:\nPick your favorite two vectors $\vec{u}\, \vec{v} \in \mathbb{R}^n
 $\, and let $X$ be the dot product of $\vec{u}$ with a random permutation 
 of $\vec{v}$. What can be said about $\mathbb{P}(X=0)$? In this talk\, we 
 discuss this and related problems\, and we provide various upper bounds on
  this probability. As a motivating application\, throughout the talk\, we 
 will discuss the connections between this and the study of random polynomi
 als\, and we obtain new upper estimates on the expected number of critical
  points a random polynomial will have. This is a joint work with Aaron Ber
 ger\, Ross Berkowitz\, and Van Vu.
DTSTART:20200127T203000Z
DTEND:20200127T203000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Patrick Devlin (Yale University)
URL:https://www.mcgill.ca/mathstat/channels/event/patrick-devlin-yale-unive
 rsity-308619
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