Sudakov-type minoration for log-concave vectors
Studia Mathematica, Tome 223 (2014) no. 3, pp. 251-274
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
formulate discuss conjecture concerning lower bounds norms log concave vectors which generalizes classical sudakov minoration principle gaussian vectors conjecture holds special classes log concave measures weaker forms satisfied general present applications based chaining techniques
Affiliations des auteurs :
Rafał Latała  1
Rafał Latała. Sudakov-type minoration for log-concave vectors. Studia Mathematica, Tome 223 (2014) no. 3, pp. 251-274. doi: 10.4064/sm223-3-5
@article{10_4064_sm223_3_5,
author = {Rafa{\l} Lata{\l}a},
title = {Sudakov-type minoration for log-concave vectors},
journal = {Studia Mathematica},
pages = {251--274},
year = {2014},
volume = {223},
number = {3},
doi = {10.4064/sm223-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm223-3-5/}
}
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