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Transportation and related inequalities in discrete spaces

Presented by: 
P Tetali [Georgia Tech]
Date: 
Monday 28th March 2011 - 15:30 to 16:30
Venue: 
INI Seminar Room 1
Abstract: 
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons