Work

A simple proof of the Poincaré inequality for a large class of probability measures

Year: 2008

Type: article

Abstract: . We give a simple and direct proof of the existence of a spectral gap under some Lyapunov type condition which is satisfied in particular by log-concave probability measures on $\mathbb{R}^n$. The proof is based on arguments introduced in Bakry and al, but for the sake of completeness, all details are provided.

Source: Electronic Communications in Probability

DOI: 10.1214/ecp.v13-1352

Authors: Dominique Bakry, Franck Barthe, Patrick Cattiaux, Arnaud Guillin

Institutions: Université Toulouse III - Paul Sabatier, Aix-Marseille Université, Institut de Mathématiques de Marseille

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

Funder: Agence Nationale de la Recherche