Geodesic
Sudakov-type minoration for log-concave vectors
Rafał Latała 1
1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Studia Mathematica, Tome 223 (2014) no. 3, pp. 251-274 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm223-3-5
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

Rafał Latała  1

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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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

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