@article{SPS_1998__32__30_0,
author = {Mathieu, Pierre},
title = {Quand l'in\'egalit\'e log-Sobolev implique l'in\'egalit\'e de trou spectral},
journal = {S\'eminaire de probabilit\'es de Strasbourg},
volume = {32},
year = {1998},
pages = {30-35},
mrnumber = {1651227},
zbl = {0913.60072},
language = {fr},
url = {http://dml.mathdoc.fr/item/SPS_1998__32__30_0}
}
Mathieu, P. Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral. Séminaire de probabilités de Strasbourg, Tome 32 (1998) pp. 30-35. http://gdmltest.u-ga.fr/item/SPS_1998__32__30_0/
(1997): Uniform positivity improving property, Sobolev inequality and spectral gaps. Preprint. | MR 1641566
(1992): L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour 1992. LNM 1581. | Zbl 0856.47026
(1980): Dirichlet forms and Markov processes. (North Holland). | MR 569058 | Zbl 0422.31007
(1996-1): Hitting times and spectral gap inequalities. A paraître dans Ann. IHP. | Numdam | MR 1465797 | Zbl 0894.60070
(1996-2): On the law of the hitting time of a small set by a Markov process. Preprint
(1996-3): Uniform estimates of the hitting times of big sets by a Markov process. Preprint