Interacting random walk in a dynamical random environment. I. Decay of correlations
Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 4, pp. 519-558.
@article{AIHPB_1994__30_4_519_0,
author = {Boldrighini, Carlo and Minlos, Robert A. and Pellegrinotti, Alessandro},
title = {Interacting random walk in a dynamical random environment. I. Decay of correlations},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {519--558},
publisher = {Gauthier-Villars},
volume = {30},
number = {4},
year = {1994},
zbl = {0818.60063},
mrnumber = {1302761},
language = {en},
url = {archive.numdam.org/item/AIHPB_1994__30_4_519_0/}
}
Boldrighini, Carlo; Minlos, Robert A.; Pellegrinotti, Alessandro. Interacting random walk in a dynamical random environment. I. Decay of correlations. Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 4, pp. 519-558. http://archive.numdam.org/item/AIHPB_1994__30_4_519_0/

[1] D. Fisher, Random walks in random environment, Phy. Rev., Vol. A 30, 1984. | MR 757696

[2] J. Bricmont and A. Kupiainen, Random walks in asymmetric random environment, Commun. Math. Phys., Vol. 142, 1991. | MR 1137068 | Zbl 0734.60112

[3] N. Madras, A process in a random by fluctuating environment, Stochastic Processes and their Applications, Vol. 40, 1992.

[4] C. Boldrighini, I.A. Ignatyuk, V.A. Malyshev and A. Pellegrinotti, Random walk in dynamic environment with mutual influence, Stochastic Processes and their Applications, Vol. 40, 1992. | Zbl 0758.60065

[5] C. Boldrighini, R.A. Minlos and A. Pellegrinotti, Central limit theorem for the random walk of two particles in a random environment, in press on Advances in Soviet Mathematics.

[6] Zh.I. Abdullaev and S.N. Lakaev, On the Spectral Properties of the Matrix-Valued Friedrichs Model, Advances in Soviet Mathematics, Vol. 5, R. A. MINLOS Ed., 1991. | MR 1130183 | Zbl 0761.47025

[7] Sh.S. Mamatov and R.A. Minlos, Bound states of a two-particle cluster operator, Teoret. Mat. Fiz., Vol. 79, 1989, pp. 163-180; English transl. in Theoret. and Math. Phys., Vol. 79, 1989. | MR 1007792

[8] C. Maes and F. Redig, Long Range Spatial Correlations for Anisotropic Zero Range Processes, J. Phys. A: Math. Gen., Vol. 24, 1991, pp. 4359-4373. | MR 1127300

[9] N. Bleistein and R.A. Handelsman, Asymptotic expansions of integrals, Holt, Rinehart and Wiston, 1975. | Zbl 0327.41027