Random walks in random medium on Z and Lyapunov spectrum

Julien Brémont

Annales de l'I.H.P. Probabilités et statistiques (2004)

  • Volume: 40, Issue: 3, page 309-336
  • ISSN: 0246-0203

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Brémont, Julien. "Random walks in random medium on Z and Lyapunov spectrum." Annales de l'I.H.P. Probabilités et statistiques 40.3 (2004): 309-336. <http://eudml.org/doc/77813>.

@article{Brémont2004,
author = {Brémont, Julien},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Markov chain; Random walk in random environment; Lyapunov exponent; Cone},
language = {eng},
number = {3},
pages = {309-336},
publisher = {Elsevier},
title = {Random walks in random medium on Z and Lyapunov spectrum},
url = {http://eudml.org/doc/77813},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Brémont, Julien
TI - Random walks in random medium on Z and Lyapunov spectrum
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2004
PB - Elsevier
VL - 40
IS - 3
SP - 309
EP - 336
LA - eng
KW - Markov chain; Random walk in random environment; Lyapunov exponent; Cone
UR - http://eudml.org/doc/77813
ER -

References

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  2. [2] A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Classics in Applied Mathematics, vol. 9, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1994, Revised reprint of the 1979 original. Zbl0815.15016MR1298430
  3. [3] Physics in One Dimension, Springer-Verlag, Berlin, 1981. MR625147
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  5. [5] J. Brémont, On the recurrence of random walks on Z in random medium, C. R. Acad. Sci. Paris Sér. I Math.333 (11) (2001) 1011-1016. Zbl0995.60062MR1872464
  6. [6] J. Brémont, On some random walks on Z in random medium, Ann. Probab.30 (3) (2002) 1266-1312. Zbl1021.60034MR1920108
  7. [7] J. Brémont, Thèse de doctorat, Marches aléatoires en milieu aléatoire sur Z; dynamique d'applications localement contractantes sur le Cercle, Université de Rennes I, 2002. 
  8. [8] Y. Derriennic, Sur la récurrence des marches aléatoires unidimensionnelles en environnement aléatoire, C. R. Acad. Sci. Paris Sér. I Math.329 (1) (1999) 65-70. Zbl0938.60060MR1703334
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  13. [13] A.V. Lëtchikov, Localization of One-Dimensional Random Walks in Random Environments, Harwood Academic Publishers, Chur, 1989. Zbl0684.60056MR1122590
  14. [14] A.V. Lëtchikov, A criterion for the applicability of the central limit theorem to one-dimensional random walks in random environments, Teor. Veroyatnost. i Primenen.37 (3) (1992) 576-580. Zbl0771.60051MR1214365
  15. [15] V.I. Oseledec, A multiplicative ergodic theorem. Characteristic Ljapunov exponents of dynamical systems, Trudy Moskov. Mat. Obšč.19 (1968) 179-210. Zbl0236.93034MR240280
  16. [16] A. Raugi, Théorème ergodique multiplicatif. Produits de matrices aléatoires indépendantes, in: Fascicule de probabilités, Univ. Rennes I, 1997, pp. 43. Zbl0947.60008
  17. [17] F. Solomon, Random walks in a random environment, Ann. Probab.3 (1975) 1-31. Zbl0305.60029MR362503

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