Isoperimetry for Product of Probability Measures: Recent Results

C. Roberto

2010, v.16, Issue 4, 617-634

ABSTRACT

We present recent results on the isoperimetric problem for product of probability measures. For distributions with tails between exponential and Gaussian we state a dimension free result. We sketch its proof that relies on a functional inequality of Poincar'e type and on a semi-group argument. Also, we give isoperimetric and concentration results, depending on the dimension, for measures with heavy tails.

Keywords: isoperimetry,Poincare type inequality,concentration of measurephenomenon,heavy tails distributions,Gaussian measure

COMMENTS

Please log in or register to leave a comment

There are no comments yet

Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
E-mail: editor@math-mprf.org
Please enter our email addresses to the list of allowed addresses of your mail server

The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
The journal is published quaterly

Markov Processes And Related Fields

Scientific Journal

Submit article

C. Roberto