Cut points and diffusive random walks in random environment

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 39, Issue 3, 2003, Pages 527-555

  Bolthausen, Erwin ^a   Sznitman, Alain Sol ^b   Zeitouni, Ofer ^c  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b ETH ZURICH   (Switzerland)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037402998     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(02)00019-5     Document Type: Article

References (16)

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
2. Bricmont, J., & Kupiainen, A. (1991). Random walks in asymmetric random environments. Comm. Math. Phys., 142(2), 345-420.
3. Dugundji, J. (1966). Topology. Boston: Allyn and Bacon.
4. Durrett, R. (1991). Probability: Theory and Examples. Pacific Grove: Wadsworth and Brooks/Cole.
5. Erdös, P., & Taylor, S. J. (1960). Some intersection properties of random walks paths. Acta Math. Acad. Sci. Hungar., 11 231-248.
6. Ethier, S. M., & Kurtz, T. G. (1986). Markov Processes. New York: Wiley.
7. Lawler, G. F. (1982). Weak convergence of a random walk in a random environment. Comm. Math. Phys., 87 81-87.
8. Lawler, G. F. (1991). Intersections of Random Walks. Basel: Birkhäuser.
9. Neveu, J. (1977). Processus ponctuels, Ecole d'Eté de Probabilités de St. Flour 1976. Lecture Notes in Math., 598 New York: Springer.
10. Solomon, F. (1975). Random walk in a random environment. Ann. Probab., 3(1), 1-31.
11. lSpitzer, F. (1976). Principles of Random Walk. 2nd Edition, Berlin: Springer.
12. Sznitman, A. S. (2000). Slowdown estimates and central limit theorem for random walks in random environment. J. Eur. Math. Soc., 2 93-143.
13. Sznitman, A. S. (2001). On a class of transient random walks in random environment. Ann. Probab., 29(2), 723-764.
14. Sznitman, A. S. (2003). On new examples of ballistic random walks in random environment. Ann. Probab., 31(1),
15. Sznitman, A. S., & Zerner, M. P. (1999). A law of large numbers for random walks in random environment. Ann. Probab., 27(4), 1851-1869.
16. O. Zeitouni, Notes of Saint Flour lectures 2001, Preprint,