A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES
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en
Document de travail - Pré-publication
Resumen en inglés
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.) ...Leer más >
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.< Leer menos
Palabras clave en inglés
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
Proyecto ANR
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
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