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A curved Brunn-Minkowski inequality in the discrete cube

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If you have a question about this talk, please contact Mustapha Amrani.

Discrete Analysis

(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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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