@article{AIHPB_2003__39_2_263_0,
author = {Komorowski, Tomasz and Krupa, Grzegorz},
title = {The law of large numbers for ballistic, multi-dimensional random walks on random lattices with correlated sites},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {263--285},
year = {2003},
publisher = {Elsevier},
volume = {39},
number = {2},
doi = {10.1016/S0246-0203(02)00002-X},
mrnumber = {1962136},
zbl = {1017.60105},
language = {en},
url = {https://www.numdam.org/articles/10.1016/S0246-0203(02)00002-X/}
}
TY - JOUR AU - Komorowski, Tomasz AU - Krupa, Grzegorz TI - The law of large numbers for ballistic, multi-dimensional random walks on random lattices with correlated sites JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2003 SP - 263 EP - 285 VL - 39 IS - 2 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/S0246-0203(02)00002-X/ DO - 10.1016/S0246-0203(02)00002-X LA - en ID - AIHPB_2003__39_2_263_0 ER -
%0 Journal Article %A Komorowski, Tomasz %A Krupa, Grzegorz %T The law of large numbers for ballistic, multi-dimensional random walks on random lattices with correlated sites %J Annales de l'I.H.P. Probabilités et statistiques %D 2003 %P 263-285 %V 39 %N 2 %I Elsevier %U https://www.numdam.org/articles/10.1016/S0246-0203(02)00002-X/ %R 10.1016/S0246-0203(02)00002-X %G en %F AIHPB_2003__39_2_263_0
Komorowski, Tomasz; Krupa, Grzegorz. The law of large numbers for ballistic, multi-dimensional random walks on random lattices with correlated sites. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 2, pp. 263-285. doi: 10.1016/S0246-0203(02)00002-X
[1] , Asymptotic behaviour for random walks in random environments, J. Appl. Probab. 36 (1999) 334-349. | Zbl | MR
[2] , , , The Probabilistic Method, Wiley, New York, 1992. | Zbl | MR
[3] , Weak convergence for reversible random walks in a random environment, Ann. Probab. 21 (1993) 1427-1440. | Zbl | MR
[4] , , Random walks in asymmetric random environments, Comm. Math. Phys. 142 (1991) 345-420. | Zbl | MR
[5] , Probability Theory and Examples, Wadsworth and Brooks/Cole, Pacific Grove, CA, 1991. | Zbl | MR
[6] , The method of averaging and walks in inhomogeneous environments, Russian Math. Surveys 40 (1985) 73-145. | Zbl | MR
[7] , , Probabilistic Properties of Deterministic Systems, Cambridge Univ. Press, 1985. | Zbl | MR
[8] , Weak convergence of a random walk in a random environment, Comm. Math. Phys. 87 (1982) 81-87. | Zbl | MR
[9] , Lectures on Random Media. Ecole d'été de probabilités de St. Flour XXII, Lecture Notes in Math., 1581, Springer, Berlin, 1994, pp. 242-411. | Zbl
[10] S. Olla, Homogenization of Diffusion Processes in Random Fields, Manuscript of Centre de Mathématiques Appliquées, 1994.
[11] , , Boundary value problems with rapidly oscillating random coefficients, in: , (Eds.), Random Fields Coll., Math. Soc. Janos Bolyai., 27, North Holland, Amsterdam, 1982, pp. 835-873. | Zbl | MR
[12] , Stationary Random Processes, Holden-Day, 1969. | Zbl | MR
[13] L. Shen, A law of large numbers and a central limit theorem for biased random motions in random environment, Preprint, 2000.
[14] , σ-algebras of events on probability spaces. Similarity and factorization, Theory Probab. Appl. 36 (1990) 63-73. | Zbl
[15] A.S. Sznitman, An effective criterion for ballistic behavior of random walks in random environment, Preprint, 2000. | MR
[16] , Slowdown estimates and central limit theorem for random walks in random environment, J. Eur. Math. Soc. 2 (2000) 93-143. | Zbl | MR
[17] A.S. Sznitman, Lectures on random motions in random media, 2000, Preprint available at http://www.math.ethz.ch/~sznitman/preprint.shtml.
[18] , , A law of large numbers for random walks in random environment, Ann. Probab. 27 (1999) 1851-1869. | Zbl | MR
[19] , Lecture notes on random walks in random environments, 2001, Preprint available at , http://www-ee.technion.ac.il/zeitouni/ps/notes1.ps. | MR
[20] , Lyapunov exponents and quenched large deviation for multidimensional random walk in random environment, Ann. Probab. 26 (1998) 1446-1476. | Zbl | MR
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