KLS-type isoperimetric bounds for log-concave probability measures

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Abstract

The paper considers geometric lower bounds on the isoperimetric constant for logarithmically concave probability measures, extending and refining some results by Kannan et al. (Discret Comput Geom 13:541–559, 1995).

Keywords

Isoperimetric inequalities Logarithmically concave distributions Geometric functional inequalities 

Mathematics Subject Classification

52A40 60E15 46B09 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.University Pierre et Marie CurieParisFrance

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