Modified logarithmic Sobolev inequalities in null curvature

Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent

Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent (2007), Modified logarithmic Sobolev inequalities in null curvature, Revista Matematica Iberoamericana, 23, 1, p. 235-258

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00016868/fr/

Date

2007

Journal name

Revista Matematica Iberoamericana

Volume

Number

Publisher

Real sociedad matemática española

Pages

235-258

Metadata

Show full item record

Author(s)

Gentil, Ivan
Guillin, Arnaud
Miclo, Laurent

Abstract (EN)

We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure

Subjects / Keywords

Log-concave measure; Concentration inequality; Poincaré inequality; Logarithmic Sobolev inequality; Mathématiques