Discrete variants of Brunn-Minkowski type inequalities

Abstract: I will discuss a family of discrete Brunn-Minkowski type inequalities. As particular cases, this family includes the four functions theorem of Ahlswede and Daykin, a result due to Klartag and Lehec, and other variants, both known and new,

Two proofs will be outlined, the first is an elementary short proof and the second is a transport proof which extends a result due to Gozlan, Roberto, Samson and Tetali, and which implies stronger entropic versions of our inequalities.

Partly based on joint work with Diana Halikias and Bo’az Klartag

analysis of PDEsmetric geometryprobability

Audience: researchers in the topic

Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

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