Asymptotic direction for random walks in random environments
Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 6, pp. 751-761.
@article{AIHPB_2007__43_6_751_0,
     author = {Simenhaus, Fran\c{c}ois},
     title = {Asymptotic direction for random walks in random environments},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {751--761},
     publisher = {Elsevier},
     volume = {43},
     number = {6},
     year = {2007},
     doi = {10.1016/j.anihpb.2006.10.003},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.003/}
}
TY  - JOUR
AU  - Simenhaus, François
TI  - Asymptotic direction for random walks in random environments
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2007
SP  - 751
EP  - 761
VL  - 43
IS  - 6
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.003/
DO  - 10.1016/j.anihpb.2006.10.003
LA  - en
ID  - AIHPB_2007__43_6_751_0
ER  - 
%0 Journal Article
%A Simenhaus, François
%T Asymptotic direction for random walks in random environments
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2007
%P 751-761
%V 43
%N 6
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.003/
%R 10.1016/j.anihpb.2006.10.003
%G en
%F AIHPB_2007__43_6_751_0
Simenhaus, François. Asymptotic direction for random walks in random environments. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 6, pp. 751-761. doi : 10.1016/j.anihpb.2006.10.003. http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.003/

[1] N. Berger, On the limiting velocity of high-dimensional random walk in random environment, arXiv:, math.PR/0601656. | MR

[2] F. Comets, O. Zeitouni, A law of large numbers for random walks in random mixing environments, Ann. Probab. 32 (1B) (2004) 880-914. | MR | Zbl

[3] F. Comets, O. Zeitouni, Gaussian fluctuations for random walks in random mixing environments, Israel J. Math. 148 (2005) 87-114. | MR | Zbl

[4] S.A. Kalikow, Generalized random walk in a random environment, Ann. Probab. 9 (5) (1981) 753-768. | MR | Zbl

[5] H. Kesten, The limit points of a normalized random walk, Ann. Math. Statist. 41 (1970) 1173-1205. | MR | Zbl

[6] A.-S. Sznitman, An effective criterion for ballistic behavior of random walks in random environment, Probab. Theory Related Fields 122 (4) (2002) 509-544. | MR | Zbl

[7] A.-S. Sznitman, On new examples of ballistic random walks in random environment, Ann. Probab. 31 (1) (2003) 285-322. | MR | Zbl

[8] A.-S. Sznitman, M. Zerner, A law of large numbers for random walks in random environment, Ann. Probab. 27 (4) (1999) 1851-1869. | MR | Zbl

[9] H. Thorisson, Coupling, Stationarity, and Regeneration, Probability and its Applications (New York), Springer-Verlag, New York, 2000. | MR | Zbl

[10] O. Zeitouni, Random walks in random environment, in: Lectures on Probability Theory and Statistics, Lecture Notes in Math., vol. 1837, Springer, Berlin, 2004, pp. 189-312. | MR | Zbl

[11] M.P.W. Zerner, F. Merkl, A zero-one law for planar random walks in random environment, Ann. Probab. 29 (4) (2001) 1716-1732. | MR | Zbl

Cité par Sources :