Hitting times and spectral gap inequalities
Mathieu, P.
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997), p. 437-465 / Harvested from Numdam
@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] D. Bakry, L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour XXII. LNM 1581, 1992. | Zbl 0856.47026

[2] D. Bakry, T. Coulhon, M. Ledoux and L. Saloff-Coste, Sobolev inequalities in disguise, Ind. Univ. Math. Journl., Vol. 44, 4, 1995. | MR 1386760 | Zbl 0857.26006

[3] M. Cassandro, A. Galves, E. Olivieri and M.E. Vares, 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] S. Carrillo Menendez, 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] M. Fukushima, Dirichlet forms and Markov processes, North Holland, 1980. | MR 569058 | Zbl 0422.31007

[6] Z.M. Ma and M. Rockner, Introduction to the theory of Dirichlet forms. Universitext, Springer-Verlag, 1991. | MR 1214375 | Zbl 0826.31001

[7] P. Mathieu, On the law of the hitting time of a small set by a Markov process, 1995, Preprint.