Sudakov-type minoration for log-concave vectors

Rafał Latała

Studia Mathematica (2014)

  • Volume: 223, Issue: 3, page 251-274
  • ISSN: 0039-3223

Abstract

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We formulate and discuss a conjecture concerning lower bounds for norms of log-concave vectors, which generalizes the classical Sudakov minoration principle for Gaussian vectors. We show that the conjecture holds for some special classes of log-concave measures and some weaker forms of it are satisfied in the general case. We also present some applications based on chaining techniques.

How to cite

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Rafał Latała. "Sudakov-type minoration for log-concave vectors." Studia Mathematica 223.3 (2014): 251-274. <http://eudml.org/doc/285828>.

@article{RafałLatała2014,
abstract = {We formulate and discuss a conjecture concerning lower bounds for norms of log-concave vectors, which generalizes the classical Sudakov minoration principle for Gaussian vectors. We show that the conjecture holds for some special classes of log-concave measures and some weaker forms of it are satisfied in the general case. We also present some applications based on chaining techniques.},
author = {Rafał Latała},
journal = {Studia Mathematica},
keywords = {log-concave random vectors; covering numbers; chaining methods},
language = {eng},
number = {3},
pages = {251-274},
title = {Sudakov-type minoration for log-concave vectors},
url = {http://eudml.org/doc/285828},
volume = {223},
year = {2014},
}

TY - JOUR
AU - Rafał Latała
TI - Sudakov-type minoration for log-concave vectors
JO - Studia Mathematica
PY - 2014
VL - 223
IS - 3
SP - 251
EP - 274
AB - We formulate and discuss a conjecture concerning lower bounds for norms of log-concave vectors, which generalizes the classical Sudakov minoration principle for Gaussian vectors. We show that the conjecture holds for some special classes of log-concave measures and some weaker forms of it are satisfied in the general case. We also present some applications based on chaining techniques.
LA - eng
KW - log-concave random vectors; covering numbers; chaining methods
UR - http://eudml.org/doc/285828
ER -

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