A law of large numbers for random walks in random environment

Annals of Probability

Volumn 27, Issue 4, 1999, Pages 1851-1869

  Sznitman, Alain Sol ^a   Zerner, Martin ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Kalikow's condition; Law of large number; Random walk in random environment; Renewal structure

Indexed keywords

EID: 0033212391     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022874818     Document Type: Article

References (12)

1. ALON, N., SPENCER, J. and ERDÖS, P. (1992). The Probabilistic Method. Wiley, New York.
2. BRICMONT, J. and KUPIAINEN, A. (1991). Random walks in asymmetric random environments. Comm. Math. Phys. 142 345-420.
3. DURRETT, R. (1991). Probability: Theory and Examples Wadsworth and Brooks/Cole, Pacific Grove, CA.
4. FELLER, W. (1957). An Introduction to Probability Theory and Its Applications 1, 3rd ed. Wiley, New York.
5. KALIKOW, S. A. (1981). Generalized random walk in a random environment. Ann. Probab. 9 753-768.
6. KESTEN, H. (1977). A renewal theorem for random walk in a random environment. Proc. Sympos. Pure Math. 31 67-77.
7. KESTEN, H., KOZLOV, M. V. and SPITZER, F. (1975). A limit law for random walk in random environment. Compositio Math. 30 145-168.
8. KOZLOV, S. M. (1985). The method of averaging and walk in inhomogeneous environments. Russian Math. Surveys 40 73-145.
9. MOLCHANOV, S. A. (1994). Lectures on random media. Ecole d'été de Probabilités de St. Flour XXII. Lecture Notes in Math. 1581 242-411. Springer, Berlin.
10. SOLOMON, F. (1975). Random walks in a random environment. Ann. Probab. 3 1-31.
11. SZNITMAN, A.-S. (1999). Slowdown and neutral pockets for a random walk in random environment. Probab. Theory Related Fields. To appear.
12. ZERNER, M. P. W. (1998). Lyapunov exponents and quenched large deviation for multidimensional random walk in random environment. Ann. Probab. 26 1446-1476.