@article{SPS_1998__32__30_0,
author = {Mathieu, P.},
title = {Quand l'in\'egalit\'e {log-Sobolev} implique l'in\'egalit\'e de trou spectral},
journal = {S\'eminaire de probabilit\'es},
pages = {30--35},
year = {1998},
publisher = {Springer - Lecture Notes in Mathematics},
volume = {32},
mrnumber = {1651227},
zbl = {0913.60072},
language = {fr},
url = {https://www.numdam.org/item/SPS_1998__32__30_0/}
}
Mathieu, P. Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral. Séminaire de probabilités, Tome 32 (1998), pp. 30-35. https://www.numdam.org/item/SPS_1998__32__30_0/
(1997): Uniform positivity improving property, Sobolev inequality and spectral gaps. Preprint. | MR
(1992): L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour 1992. LNM 1581. | Zbl
(1980): Dirichlet forms and Markov processes. (North Holland). | Zbl | MR
(1996-1): Hitting times and spectral gap inequalities. A paraître dans Ann. IHP. | Zbl | MR | Numdam
(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





