Interacting random walk in a dynamical random environment. I. Decay of correlations

Carlo Boldrighini; Robert A. Minlos; Alessandro Pellegrinotti

Annales de l'I.H.P. Probabilités et statistiques (1994)

  • Volume: 30, Issue: 4, page 519-558
  • ISSN: 0246-0203

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Boldrighini, Carlo, Minlos, Robert A., and Pellegrinotti, Alessandro. "Interacting random walk in a dynamical random environment. I. Decay of correlations." Annales de l'I.H.P. Probabilités et statistiques 30.4 (1994): 519-558. <http://eudml.org/doc/77493>.

@article{Boldrighini1994,
author = {Boldrighini, Carlo, Minlos, Robert A., Pellegrinotti, Alessandro},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {long time tail; random walk; interaction; perturbation; ergodic Markov chain},
language = {eng},
number = {4},
pages = {519-558},
publisher = {Gauthier-Villars},
title = {Interacting random walk in a dynamical random environment. I. Decay of correlations},
url = {http://eudml.org/doc/77493},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Boldrighini, Carlo
AU - Minlos, Robert A.
AU - Pellegrinotti, Alessandro
TI - Interacting random walk in a dynamical random environment. I. Decay of correlations
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1994
PB - Gauthier-Villars
VL - 30
IS - 4
SP - 519
EP - 558
LA - eng
KW - long time tail; random walk; interaction; perturbation; ergodic Markov chain
UR - http://eudml.org/doc/77493
ER -

References

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  1. [1] D. Fisher, Random walks in random environment, Phy. Rev., Vol. A 30, 1984. MR757696
  2. [2] J. Bricmont and A. Kupiainen, Random walks in asymmetric random environment, Commun. Math. Phys., Vol. 142, 1991. Zbl0734.60112MR1137068
  3. [3] N. Madras, A process in a random by fluctuating environment, Stochastic Processes and their Applications, Vol. 40, 1992. Zbl0564.60100
  4. [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. Zbl0758.60065
  5. [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. Zbl0815.60097
  6. [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. Zbl0761.47025MR1130183
  7. [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. MR1007792
  8. [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. MR1127300
  9. [9] N. Bleistein and R.A. Handelsman, Asymptotic expansions of integrals, Holt, Rinehart and Wiston, 1975. Zbl0327.41027

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