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A curved Brunn-Minkowski inequality in the discrete cube

Presented by: 
Y Ollivier Université Paris-Sud
Date: 
Thursday 19th May 2011 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
(Joint work with C.Villani) We try (and fail) to implement the displacement convexity property of Lott-Sturm-Villani to the discrete hypercube. Yet along the way we get new, unexpected results of a combinatorial and probabilistic nature, including a curved Brunn--Minkowski inequality on the discrete hypercube.
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