Asymptotic direction for random walks in random environments

François Simenhaus

Annales de l'I.H.P. Probabilités et statistiques (2007)

  • Volume: 43, Issue: 6, page 751-761
  • ISSN: 0246-0203

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Simenhaus, François. "Asymptotic direction for random walks in random environments." Annales de l'I.H.P. Probabilités et statistiques 43.6 (2007): 751-761. <http://eudml.org/doc/77954>.

@article{Simenhaus2007,
author = {Simenhaus, François},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random walks in random environments; asymptotic direction; renewal structure},
language = {eng},
number = {6},
pages = {751-761},
publisher = {Elsevier},
title = {Asymptotic direction for random walks in random environments},
url = {http://eudml.org/doc/77954},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Simenhaus, François
TI - Asymptotic direction for random walks in random environments
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2007
PB - Elsevier
VL - 43
IS - 6
SP - 751
EP - 761
LA - eng
KW - random walks in random environments; asymptotic direction; renewal structure
UR - http://eudml.org/doc/77954
ER -

References

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  1. [1] N. Berger, On the limiting velocity of high-dimensional random walk in random environment, arXiv:, math.PR/0601656. MR2393995
  2. [2] F. Comets, O. Zeitouni, A law of large numbers for random walks in random mixing environments, Ann. Probab.32 (1B) (2004) 880-914. Zbl1078.60089MR2039946
  3. [3] F. Comets, O. Zeitouni, Gaussian fluctuations for random walks in random mixing environments, Israel J. Math.148 (2005) 87-114. Zbl1086.60065MR2191225
  4. [4] S.A. Kalikow, Generalized random walk in a random environment, Ann. Probab.9 (5) (1981) 753-768. Zbl0545.60065MR628871
  5. [5] H. Kesten, The limit points of a normalized random walk, Ann. Math. Statist.41 (1970) 1173-1205. Zbl0233.60062MR266315
  6. [6] A.-S. Sznitman, An effective criterion for ballistic behavior of random walks in random environment, Probab. Theory Related Fields122 (4) (2002) 509-544. Zbl0995.60097MR1902189
  7. [7] A.-S. Sznitman, On new examples of ballistic random walks in random environment, Ann. Probab.31 (1) (2003) 285-322. Zbl1017.60104MR1959794
  8. [8] A.-S. Sznitman, M. Zerner, A law of large numbers for random walks in random environment, Ann. Probab.27 (4) (1999) 1851-1869. Zbl0965.60100MR1742891
  9. [9] H. Thorisson, Coupling, Stationarity, and Regeneration, Probability and its Applications (New York), Springer-Verlag, New York, 2000. Zbl0949.60007MR1741181
  10. [10] O. Zeitouni, Random walks in random environment, in: Lectures on Probability Theory and Statistics, Lecture Notes in Math., vol. 1837, Springer, Berlin, 2004, pp. 189-312. Zbl1060.60103MR2071631
  11. [11] M.P.W. Zerner, F. Merkl, A zero-one law for planar random walks in random environment, Ann. Probab.29 (4) (2001) 1716-1732. Zbl1016.60093MR1880239

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