Hitting times and spectral gap inequalities

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 33, Issue 4, 1997, Pages 437-465

  Mathieu, P ^a  

^a UNIVERSITÉ DE PROVENCE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031521256     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(97)80100-8     Document Type: Article

References (7)

1. [1] D. BAKRY, L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour XXII. LNM 1581, 1992.
2. [2] D. BAKRY, T. COULHON, M. LEDOUX and L. SALOFF-COSTE, Sobolev inequalities in disguise, Ind. Univ. Math. Journl., Vol. 44, 4, 1995.
3. |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.
4. [4] S. CARRILLO MENENDEZ, Processus de Markov associé à une forme de Dirichlet non symétrique. Z.W.Geb 33, 1975, pp. 139-154.
5. [5] M. FUKUSHIMA, Dirichlet forms and Markov processes, North Holland, 1980.
6. [6] Z. M. MA and M. ROCKNER, Introduction to the theory of Dirichlet forms. Universitext, Springer-Verlag, 1991.
7. [7] P. MATHIEU, On the law of the hitting time of a small set by a Markov process, 1995, Preprint.