Velocity and Lyapounov exponents of some random walks in random environment

Martin P. W. Zerner

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 6, page 737-748
  • ISSN: 0246-0203

How to cite

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Zerner, Martin P. W.. "Velocity and Lyapounov exponents of some random walks in random environment." Annales de l'I.H.P. Probabilités et statistiques 36.6 (2000): 737-748. <http://eudml.org/doc/77677>.

@article{Zerner2000,
author = {Zerner, Martin P. W.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random walk in random environment; law of large numbers; Lyapunov exponents},
language = {eng},
number = {6},
pages = {737-748},
publisher = {Gauthier-Villars},
title = {Velocity and Lyapounov exponents of some random walks in random environment},
url = {http://eudml.org/doc/77677},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Zerner, Martin P. W.
TI - Velocity and Lyapounov exponents of some random walks in random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 6
SP - 737
EP - 748
LA - eng
KW - random walk in random environment; law of large numbers; Lyapunov exponents
UR - http://eudml.org/doc/77677
ER -

References

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  2. [2] Dembo A., Zeitouni O., Large Deviations Techniques, Jones and Bartlett Publishers, Boston, 1993. Zbl0793.60030MR1202429
  3. [3] Gantert N., Zeitouni O., Large deviations for one-dimensional random walk in a random environment - a survey, in: Révész P., Tóth B. (Eds.), Random Walks, Bolyai Society Mathematical Studies9, Budapest, 1999, pp. 127-165. Zbl0953.60009MR1752893
  4. [4] Hughes B.D., Random Walks and Random Environments, Vol. II, Clarendon Press, Oxford, 1996. Zbl0925.60076
  5. [5] Kalikow S.A., Generalized random walk in a random environment, Ann. Probab.9 (1981) 753-768. Zbl0545.60065MR628871
  6. [6] Lawler G.F., Weak convergence of a random walk in a random environment, Comm. Math. Phys.87 (1982) 81-87. Zbl0502.60056MR680649
  7. [7] Solomon F., Random walks in random environment, Ann. Probab.3 (1975) 1-31. Zbl0305.60029MR362503
  8. [8] Sznitman A.S., Shape theorem, Lyapounov exponents, and large deviations for Brownian motion in a Poissonian potential, Comm. Pure Appl. Math.47 (1994) 1655-1688. Zbl0814.60022MR1303223
  9. [9] Sznitman A.S., Slowdown and neutral pockets for a random walk in random environment, Probab. Theory Related Fields115 (3) (1999) 287-323. Zbl0947.60095MR1725386
  10. [10] Sznitman A.S., Slowdown estimates and central limit theorem for random walks in random environment, J. Europ. Math. Soc. (1999), to appear. Zbl0976.60097MR1763302
  11. [11] Sznitman A.S., Zerner M.P.W., A law of large numbers for random walks in random environment, Ann. Probab.27 (4) (1999) 1851-1869. Zbl0965.60100MR1742891
  12. [12] Zerner M.P.W., Directional decay of the Green's function for a random nonnegative potential on Zd, Ann. Appl. Probab.8 (1) (1998) 246-280. Zbl0938.60098MR1620370
  13. [13] Zerner M.P.W., Lyapounov exponents and quenched large deviations for multi-dimensional random walks in random environment, Ann. Probab.26 (4) (1998) 1446-1476. Zbl0937.60095MR1675027

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