Large deviations for a random walk in dynamical random environment

Irina Ignatiouk-Robert

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 5, page 601-636
  • ISSN: 0246-0203

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Ignatiouk-Robert, Irina. "Large deviations for a random walk in dynamical random environment." Annales de l'I.H.P. Probabilités et statistiques 34.5 (1998): 601-636. <http://eudml.org/doc/77615>.

@article{Ignatiouk1998,
author = {Ignatiouk-Robert, Irina},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {large deviations; random walk in random environment; cluster expansion; Dyson's equations},
language = {eng},
number = {5},
pages = {601-636},
publisher = {Gauthier-Villars},
title = {Large deviations for a random walk in dynamical random environment},
url = {http://eudml.org/doc/77615},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Ignatiouk-Robert, Irina
TI - Large deviations for a random walk in dynamical random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 5
SP - 601
EP - 636
LA - eng
KW - large deviations; random walk in random environment; cluster expansion; Dyson's equations
UR - http://eudml.org/doc/77615
ER -

References

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  1. [1] D. Fisher, Random walk in random environment, Phy. Rev., Vol. A 30, 1984. 
  2. [2] J. Bricmont and A. Kupiainen, Random Walks in Asymmetric Random Environments, Communications in Mathematical Physics, Vol. 142, 1991, pp. 345-420. Zbl0734.60112MR1137068
  3. [3] E. Bolthausen, A Note on the Diffusion of Directed Polymers in a Random Environment, Communications in Mathematical Physics, Vol. 123, 1989, pp. 529-534. Zbl0684.60013MR1006293
  4. [4] C. Boldrighini, I. Ignatyuk, V. Malyshev and A. Pellegrinotti, Random walk in dynamic environment with mutual influence, Stochastic Processes and their Applications, Vol. 41, 1992, pp. 157-177. Zbl0758.60065MR1162723
  5. [5] C. Boldrighini, R. Minlos and A. Pellegrinotti, Interacting random walk in a dynamic environment. I, Annales de l'institut Henri Poincaré, Vol. 30, 4, 1994, pp. 519-558. Zbl0818.60063MR1302761
  6. [6] C. Boldrighini, R. Minlos and A. Pellegrinotti, Interacting random walk in a dynamic environment.II, Annales de l'institut Henri Poincaré, Vol. 30, 4, 1994, pp. 559-605. Zbl0818.60064MR1302762
  7. [7] C. Boldrighini, R. Minlos and A. Pellegrinotti, Almost-sure central limit theorem for a Markov model of random walk in dynamical random environment., Probability Theory and Related Fields, Vol. 109, 1997, pp. 245-273. Zbl0888.60061MR1477651
  8. [8] A. Dembo, Y. Peres and O. Zeitouni, Tail estimates for one-dimensional random walk in random environment, Preprint, 1995. MR1414305
  9. [9] A. Dembo and O. Zeitnouni, Large deviations techniques and applications, Jones and Bartlett Publishers, Boston, 1993. Zbl0793.60030MR1202429
  10. [10] J. Deuschel and D. Stroock, Large Deviations, Vol. 137 of Pure and Applied Mathematics. Academic Press, 1989. Zbl0705.60029MR997938
  11. [11] J. Glimm and A. Jaffe, Quantum physics : a functional integral point of view, Springer Verlag, 1981. Zbl0461.46051MR628000
  12. [12] A. Greven and F. Den Hollander, Large deviations for a random walk in random environment, The Annals of Probability, Vol. 22, 3, 1994, pp. 1381-1428. Zbl0820.60054MR1303649
  13. [13] I. Ignatyuk, Dyson's equation for general lattice systems, Mathematical Notes of the Academy of Sciences of the USSR, Vol. 46, 1989, pp. 512-517. Zbl0774.47039MR1019253
  14. [14] V. Malyshev and R. Minlos, Linear Infinite - Particle Operators, AMS Translations of Mathematical Monographs, Vol. 143, 1995. Zbl0827.46065MR1317349
  15. [15] R. Rockafellar, Convex Analysis, Princeton University Press, 1970. Zbl0193.18401MR274683

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