A curved Brunn-Minkowski inequality in the discrete cube
Seminar Room 2, Newton Institute Gatehouse
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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