@article{AIHPB_1997__33_4_437_0,
author = {Mathieu, Pierre},
title = {Hitting times and spectral gap inequalities},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {33},
year = {1997},
pages = {437-465},
mrnumber = {1465797},
zbl = {0894.60070},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_1997__33_4_437_0}
}
Mathieu, P. Hitting times and spectral gap inequalities. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) pp. 437-465. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_4_437_0/
[1] , L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour XXII. LNM 1581, 1992. | Zbl 0856.47026
[2] , , and , Sobolev inequalities in disguise, Ind. Univ. Math. Journl., Vol. 44, 4, 1995. | MR 1386760 | Zbl 0857.26006
[3] , , and , Metastable behaviour of stochastic dynamics: a pathwise approach, J. Stat. Phys., Vol. 35, 5/6, 1984, pp. 603-634. | MR 749840 | Zbl 0591.60080
[4] , Processus de Markov associé à une forme de Dirichlet non symétrique. Z.W.Geb 33, 1975, pp. 139-154. | MR 386030 | Zbl 0299.60058
[5] , Dirichlet forms and Markov processes, North Holland, 1980. | MR 569058 | Zbl 0422.31007
[6] and , Introduction to the theory of Dirichlet forms. Universitext, Springer-Verlag, 1991. | MR 1214375 | Zbl 0826.31001
[7] , On the law of the hitting time of a small set by a Markov process, 1995, Preprint.