Weak logarithmic Sobolev inequalities and entropic convergence
| dc.creator | Cattiaux, Patrick | |
| dc.creator | Gentil, Ivan | |
| dc.creator | Guillin, Arnaud | |
| dc.date | 2005-11-10 | |
| dc.date | 2007-01-05 | |
| dc.date.accessioned | 2026-07-07T07:38:33Z | |
| dc.date.available | 2026-07-07T07:38:33Z | |
| dc.description | In this paper we introduce and study a weakened form of logarithmic Sobolev inequalities in connection with various others functional inequalities (weak Poincaré inequalities, general Beckner inequalities...). We also discuss the quantitative behaviour of relative entropy along a symmetric diffusion semi-group. In particular, we exhibit an example where Poincaré inequality can not be used for deriving entropic convergence whence weak logarithmic Sobolev inequality ensures the result. | |
| dc.identifier | https://arxiv.org/abs/math/0511255 | |
| dc.identifier | http://arxiv.org/abs/math/0511255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121124 | |
| dc.subject | Probability | |
| dc.title | Weak logarithmic Sobolev inequalities and entropic convergence | |
| dc.type | text |