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Transportation and related inequalities in discrete spaces

Tetali, P (Georgia Tech)
Monday 28 March 2011, 15:30-16:30

Seminar Room 1, Newton Institute


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.


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