Sur la transience et la récurrence des marches aléatoires en milieu aléatoire

C. Sunyach

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 4, page 613-626
  • ISSN: 0246-0203

How to cite

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Sunyach, C.. "Sur la transience et la récurrence des marches aléatoires en milieu aléatoire." Annales de l'I.H.P. Probabilités et statistiques 23.4 (1987): 613-626. <http://eudml.org/doc/77307>.

@article{Sunyach1987,
author = {Sunyach, C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random walk in a random environment; invariant measure},
language = {fre},
number = {4},
pages = {613-626},
publisher = {Gauthier-Villars},
title = {Sur la transience et la récurrence des marches aléatoires en milieu aléatoire},
url = {http://eudml.org/doc/77307},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Sunyach, C.
TI - Sur la transience et la récurrence des marches aléatoires en milieu aléatoire
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 4
SP - 613
EP - 626
LA - fre
KW - random walk in a random environment; invariant measure
UR - http://eudml.org/doc/77307
ER -

References

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  1. [1] E. Andjel, A Note on One-Dimensional Random Walk in Random Environment ( à paraître). 
  2. [2] Y. Guivarc'h, Exposés et travaux sur les marches aléatoires en milieu aléatoire. 
  3. [3] Y. Guivarc'h, M. Keane et B. Roynette, Marches aléatoires sur les groupes de Lie, L.N. in Math., vol. 624. Zbl0367.60081
  4. [4] K. Ichihara, Some Global Properties of Symmetric Diffusion Process, Publ. R.I.M.S., Kyoto, vol. 14, 1978, p. 441-486. Zbl0397.60062MR509198
  5. [5] S. Kalikov, Generalized Random Walk in a Random Environment, The Annals of Proba., vol. 9, n° 5, 1981, p. 753-768. Zbl0545.60065MR628871
  6. [6] Key, Recurrence and Transience Criteria for Random Walk in a Random Environment, Annals of Proba., vol. 12, n° 2, 1984, p. 529-560. Zbl0545.60066MR735852
  7. [7] G. Lawler, A Discrete Stochastic Integral Inequality and Balanced Random Walk in a Random Environment, Duke Math. J., vol. 50, n° 4, 1983, p. 1261-1274. Zbl0569.60071MR726329
  8. [8] D. Revuz, Markov Chains, North Holland. Zbl0332.60045MR415773
  9. [9] V. Anshelevich, K. Khanin et Y. Sinaï, Symmetric Randoms Walks in Random Environments, Comm. Math. Phys., vol. 85, 1982, p. 449-470. Zbl0512.60058MR678156
  10. [10] F. Solomon, Random Walks in a Random Environment, Annals of Proba., vol. 3, 1975, p. 1-31. Zbl0305.60029MR362503
  11. [11] P. Levy, Processus stochastiques et mouvement brownien, Gauthier-Villars, Paris, 1948. Zbl0034.22603MR190953
  12. [12] R. Durrett, Multidimensional Random walks in Random Environments with Subclassical Limiting Behavior, Comm. Math. Phys., vol. 104, n° 87, 1986, p. 102. Zbl0595.60072MR834483
  13. [13] C. Sunyach, Marches aléatoires en milieu aléatoire récurrentes sur un groupe, C.R. Acad. Sc. Paris, t. 303, 1986, p. 479-481. Zbl0611.60007MR865865

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