Cut points and diffusive random walks in random environment
Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 3, pp. 527-555.
@article{AIHPB_2003__39_3_527_0,
     author = {Bolthausen, Erwin and Sznitman, Alain-Sol and Zeitouni, Ofer},
     title = {Cut points and diffusive random walks in random environment},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {527--555},
     publisher = {Elsevier},
     volume = {39},
     number = {3},
     year = {2003},
     doi = {10.1016/S0246-0203(02)00019-5},
     mrnumber = {1978990},
     zbl = {1016.60094},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/S0246-0203(02)00019-5/}
}
TY  - JOUR
AU  - Bolthausen, Erwin
AU  - Sznitman, Alain-Sol
AU  - Zeitouni, Ofer
TI  - Cut points and diffusive random walks in random environment
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2003
SP  - 527
EP  - 555
VL  - 39
IS  - 3
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/S0246-0203(02)00019-5/
DO  - 10.1016/S0246-0203(02)00019-5
LA  - en
ID  - AIHPB_2003__39_3_527_0
ER  - 
%0 Journal Article
%A Bolthausen, Erwin
%A Sznitman, Alain-Sol
%A Zeitouni, Ofer
%T Cut points and diffusive random walks in random environment
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2003
%P 527-555
%V 39
%N 3
%I Elsevier
%U http://www.numdam.org/articles/10.1016/S0246-0203(02)00019-5/
%R 10.1016/S0246-0203(02)00019-5
%G en
%F AIHPB_2003__39_3_527_0
Bolthausen, Erwin; Sznitman, Alain-Sol; Zeitouni, Ofer. Cut points and diffusive random walks in random environment. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 3, pp. 527-555. doi : 10.1016/S0246-0203(02)00019-5. http://www.numdam.org/articles/10.1016/S0246-0203(02)00019-5/

[1] E. Bolthausen, A.S. Sznitman, On the static and dynamic points of views for certain random walks in random environment, Methods and Applications of Analysis, to appear, http://www.math.ethz.ch/~sznitman/preprint.shtml. | MR | Zbl

[2] J. Bricmont, A. Kupiainen, Random walks in asymmetric random environments, Comm. Math. Phys. 142 (2) (1991) 345-420. | MR | Zbl

[3] J. Dugundji, Topology, Allyn and Bacon, Boston, 1966. | MR | Zbl

[4] R. Durrett, Probability: Theory and Examples, Wadsworth and Brooks/Cole, Pacific Grove, 1991. | MR | Zbl

[5] P. Erdös, S.J. Taylor, Some intersection properties of random walks paths, Acta Math. Acad. Sci. Hungar. 11 (1960) 231-248. | MR | Zbl

[6] S.M. Ethier, T.G. Kurtz, Markov Processes, Wiley, New York, 1986. | MR | Zbl

[7] G.F. Lawler, Weak convergence of a random walk in a random environment, Comm. Math. Phys. 87 (1982) 81-87. | MR | Zbl

[8] G.F. Lawler, Intersections of Random Walks, Birkhäuser, Basel, 1991. | MR | Zbl

[9] J. Neveu, Processus ponctuels, Ecole d'Eté de Probabilités de St. Flour 1976, Lecture Notes in Math., 598, Springer, New York, 1977. | MR | Zbl

[10] F. Solomon, Random walk in a random environment, Ann. Probab. 3 (1) (1975) 1-31. | Zbl

[11] F. Spitzer, Principles of Random Walk, Springer, Berlin, 1976. | Zbl

[12] A.S. Sznitman, Slowdown estimates and central limit theorem for random walks in random environment, J. Eur. Math. Soc. 2 (2000) 93-143. | MR | Zbl

[13] A.S. Sznitman, On a class of transient random walks in random environment, Ann. Probab. 29 (2) (2001) 723-764. | MR | Zbl

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

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

[16] O. Zeitouni, Notes of Saint Flour lectures 2001, Preprint, http://www-ee.technion.ac.il/~zeitouni/ps/notes1.ps.

Cité par Sources :