A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES - Archive ouverte HAL
Article Dans Une Revue International Mathematics Research Notices Année : 2024

A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES

Michel Bonnefont

Résumé

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.
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Dates et versions

hal-03979877 , version 1 (09-02-2023)
hal-03979877 , version 2 (15-03-2024)

Identifiants

Citer

Michel Bonnefont, Aldéric Joulin. A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES. International Mathematics Research Notices, 2024, 2024 (24), pp.14704-14728. ⟨10.1093/imrn/rnae256⟩. ⟨hal-03979877v2⟩
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