Transportation and related inequalities in discrete spaces
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If you have a question about this talk, please contact Mustapha Amrani.
Discrete Analysis
Following exciting developments in the continuous setting of manifolds (and other geodesic spaces), in joint works with various collaborators, I have explored discrete analogs of the interconnection between several functional inequalities in discrete spaces; such inequalities include concentration, transportation, displacement convexity and modified versions of the logarithmic Sobolev inequality. I will attempt to review some of these connections and illustrate with examples. Computational aspects of the underlying functional constants and other open problems will also be mentioned.
This talk is part of the Isaac Newton Institute Seminar Series series.
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