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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-3-5,
author = {Rafa\l\ Lata\l a},
title = {Sudakov-type minoration for log-concave vectors},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {251-274},
zbl = {1321.60031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-3-5}
}
Rafał Latała. Sudakov-type minoration for log-concave vectors. Studia Mathematica, Tome 223 (2014) pp. 251-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-3-5/