Presented by:
Sergii Strelchuk University of Cambridge
Date:
Friday 27th July 2018 - 09:45 to 10:30
Venue:
INI Seminar Room 1
Abstract:
It is well-known that Gaussian random variables have many
attractive properties: they are maximum entropy, they are stable under addition
and scaling, they give equality in the Entropy Power Inequality (and hence give
sharp log-Sobolev inequalities) and have good entropy concavity properties. I
will discuss the extent to which results of this kind can be formulated for
discrete random variables, and how they relate to ideas of discrete
log-concavity.
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