Isoperimetric Inequalities, Probability Measures and Convex Geometry

  • Franck Barthe

    Université Toulouse III, France
Isoperimetric Inequalities, Probability Measures and Convex Geometry cover
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Abstract

We survey recent developments of the isoperimetric problem for product probability measures. These questions were considered with motivations coming from different areas (differential geometry, Banach spaces, probability theory) and substantial progress was enabled by combining geometric, probabilistic and analytic approaches.