On the recurrence of random walks on Z in random medium;Sur la récurrence des marches aléatoires sur Z en milieu aléatoire

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 11, 2001, Pages 1011-1016

  Bremont, Julien ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005380329     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02173-5     Document Type: Article

References (10)

1. Alili S. Asymptotic behaviour for random walks in random environments. J. Appl. Probab. 36:(2):1999;334-349.
2. J. Bremont, On some random walks on Z in random medium, Preprint 00-32, Université de Rennes 1. To appear in Ann. of Probability.
3. Conze J.-P., Guivarc'h Y. Marches en milieu aléatoire et mesures quasi-invariantes pour un système dynamique, part 2. Colloq. Math. 84/85:2000;457-480. Dedicated to the memory of Anzelm Iwanik.
4. Derriennic Y. Sur la récurrence des marches aléatoires unidimensionnelles en environnement aléatoire. C. R. Acad. Sci. Paris, Série I. 329:(1):1999;65-70.
5. Hennion H. Limit theorems for products of positive random matrices. Ann. Probab. 25:(4):1997;1545-1587.
6. Key E.S. Recurrence and transience criteria for random walk in a random environment. Ann. Probab. 12:(2):1984;529-560.
7. Lëtchikov A.V. Localization of One-Dimensional Random Walks in Random Environments. 1989;Harwood Academic. pp. 173-220.
8. Lëtchikov A.V. A limit theorem for a recurrent random walk in a random environment. Dokl. Akad. Nauk SSSR. 304:1989;25-28.
9. Oseledec V.I. A multiplicative ergodic theorem. Characteristic Liapunov, exponents of dynamical systems. Trudy Moskov. Mat. Obšč. 19:1968;179-210.
10. Solomon F. Random walks in a random environment. Ann. Probab. 3:1975;1-31.