Hitting times and spectral gap inequalities

P. Mathieu

Annales de l'I.H.P. Probabilités et statistiques (1997)

  • Volume: 33, Issue: 4, page 437-465
  • ISSN: 0246-0203

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Mathieu, P.. "Hitting times and spectral gap inequalities." Annales de l'I.H.P. Probabilités et statistiques 33.4 (1997): 437-465. <http://eudml.org/doc/77577>.

@article{Mathieu1997,
author = {Mathieu, P.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Markov process; inequalities; Dirichlet norm; hitting times; exponential law},
language = {eng},
number = {4},
pages = {437-465},
publisher = {Gauthier-Villars},
title = {Hitting times and spectral gap inequalities},
url = {http://eudml.org/doc/77577},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Mathieu, P.
TI - Hitting times and spectral gap inequalities
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 4
SP - 437
EP - 465
LA - eng
KW - Markov process; inequalities; Dirichlet norm; hitting times; exponential law
UR - http://eudml.org/doc/77577
ER -

References

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  1. [1] D. Bakry, L'hypercontractivité et son utilisation en théorie des semi-groupes. Ecole d'été de St Flour XXII. LNM1581, 1992. Zbl0856.47026
  2. [2] D. Bakry, T. Coulhon, M. Ledoux and L. Saloff-Coste, Sobolev inequalities in disguise, Ind. Univ. Math. Journl., Vol. 44, 4, 1995. Zbl0857.26006MR1386760
  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. Zbl0591.60080MR749840
  4. [4] S. Carrillo Menendez, Processus de Markov associé à une forme de Dirichlet non symétrique. Z.W.Geb33, 1975, pp. 139-154. Zbl0299.60058MR386030
  5. [5] M. Fukushima, Dirichlet forms and Markov processes, North Holland, 1980. Zbl0422.31007MR569058
  6. [6] Z.M. Ma and M. Rockner, Introduction to the theory of Dirichlet forms. Universitext, Springer-Verlag, 1991. Zbl0826.31001MR1214375
  7. [7] P. Mathieu, On the law of the hitting time of a small set by a Markov process, 1995, Preprint. 

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