A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES
Language
en
Document de travail - Pré-publication
English Abstract
In this paper, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of the domain, position of the origin, etc.) ...Read more >
In this paper, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of the domain, position of the origin, etc.) on the spectral gap of log-concave probability measures on convex bodies. Our results are illustrated by some classical and less classical examples.Read less <
English Keywords
2010 Mathematics Subject Classification. 60J60
39B62
47D07
37A30
58J50 Spectral gap Neumann eigenvalues Poincaré type inequalities Log-concave probability measure
Convex body
58J50 Spectral gap
Neumann eigenvalues
Poincaré type inequalities
Log-concave probability measure
ANR Project
Analyse Réelle et Géométrie - ANR-18-CE40-0012
Analyse Quantitative de Processus Metastables - ANR-19-CE40-0010
Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040
Méthode de Stein et Analyse - ANR-18-CE40-0006
Convegence et interactions via Analyse et Probabilités - ANR-23-CE40-0003
Analyse Quantitative de Processus Metastables - ANR-19-CE40-0010
Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040
Méthode de Stein et Analyse - ANR-18-CE40-0006
Convegence et interactions via Analyse et Probabilités - ANR-23-CE40-0003
Origin
Hal imported