@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/
Uniform positivity improving property, Sobolev inequality and spectral gaps. Preprint. | MR 1641566
(1997):L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour 1992. LNM 1581. | Zbl 0856.47026
(1992):Dirichlet forms and Markov processes. (North Holland). | MR 569058 | Zbl 0422.31007
(1980):Hitting times and spectral gap inequalities. A paraître dans Ann. IHP. | Numdam | MR 1465797 | Zbl 0894.60070
(1996-1):On the law of the hitting time of a small set by a Markov process. Preprint
(1996-2):Uniform estimates of the hitting times of big sets by a Markov process. Preprint
(1996-3):