
The Library
Entropy jumps for isotropic log-concave random vectors and spectral gap
Tools
Ball, Keith M. and Nguyen, Van Hoang (2012) Entropy jumps for isotropic log-concave random vectors and spectral gap. Studia Mathematica, Volume 213 (Number 1). pp. 81-96. doi:10.4064/sm213-1-6 ISSN 0039-3223.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.4064/sm213-1-6
Abstract
We prove a quantitative dimension-free bound in the Shannon{Stam en- tropy inequality for the convolution of two log-concave distributions in dimension d in terms of the spectral gap of the density. The method relies on the analysis of the Fisher information production, which is the second derivative of the entropy along the (normalized) heat semigroup. We also discuss consequences of our result in the study of the isotropic constant of log-concave distributions (slicing problem).
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Studia Mathematica | ||||
Publisher: | Polska Akademia Nauk | ||||
ISSN: | 0039-3223 | ||||
Official Date: | 2012 | ||||
Dates: |
|
||||
Volume: | Volume 213 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 81-96 | ||||
DOI: | 10.4064/sm213-1-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |