Cut points and diffusive random walks in random environment

Erwin Bolthausen; Alain-Sol Sznitman; Ofer Zeitouni

Annales de l'I.H.P. Probabilités et statistiques (2003)

  • Volume: 39, Issue: 3, page 527-555
  • ISSN: 0246-0203

How to cite

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Bolthausen, Erwin, Sznitman, Alain-Sol, and Zeitouni, Ofer. "Cut points and diffusive random walks in random environment." Annales de l'I.H.P. Probabilités et statistiques 39.3 (2003): 527-555. <http://eudml.org/doc/77772>.

@article{Bolthausen2003,
author = {Bolthausen, Erwin, Sznitman, Alain-Sol, Zeitouni, Ofer},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {multidimensional random walks; law of large numbers; functional central limit theorem; diffusive walks},
language = {eng},
number = {3},
pages = {527-555},
publisher = {Elsevier},
title = {Cut points and diffusive random walks in random environment},
url = {http://eudml.org/doc/77772},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Bolthausen, Erwin
AU - Sznitman, Alain-Sol
AU - Zeitouni, Ofer
TI - Cut points and diffusive random walks in random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2003
PB - Elsevier
VL - 39
IS - 3
SP - 527
EP - 555
LA - eng
KW - multidimensional random walks; law of large numbers; functional central limit theorem; diffusive walks
UR - http://eudml.org/doc/77772
ER -

References

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  1. [1] E. Bolthausen, A.S. Sznitman, On the static and dynamic points of views for certain random walks in random environment, Methods and Applications of Analysis, to appear, http://www.math.ethz.ch/~sznitman/preprint.shtml. Zbl1079.60079MR2023130
  2. [2] J. Bricmont, A. Kupiainen, Random walks in asymmetric random environments, Comm. Math. Phys.142 (2) (1991) 345-420. Zbl0734.60112MR1137068
  3. [3] J. Dugundji, Topology, Allyn and Bacon, Boston, 1966. Zbl0397.54003MR193606
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  7. [7] G.F. Lawler, Weak convergence of a random walk in a random environment, Comm. Math. Phys.87 (1982) 81-87. Zbl0502.60056MR680649
  8. [8] G.F. Lawler, Intersections of Random Walks, Birkhäuser, Basel, 1991. Zbl0925.60078MR1117680
  9. [9] J. Neveu, Processus ponctuels, Ecole d'Eté de Probabilités de St. Flour 1976, Lecture Notes in Math., 598, Springer, New York, 1977. Zbl0439.60044MR474493
  10. [10] F. Solomon, Random walk in a random environment, Ann. Probab.3 (1) (1975) 1-31. Zbl0305.60029
  11. [11] F. Spitzer, Principles of Random Walk, Springer, Berlin, 1976. Zbl0359.60003
  12. [12] A.S. Sznitman, Slowdown estimates and central limit theorem for random walks in random environment, J. Eur. Math. Soc.2 (2000) 93-143. Zbl0976.60097MR1763302
  13. [13] A.S. Sznitman, On a class of transient random walks in random environment, Ann. Probab.29 (2) (2001) 723-764. Zbl1017.60106MR1849176
  14. [14] A.S. Sznitman, On new examples of ballistic random walks in random environment, Ann. Probab.31 (1) (2003). Zbl1017.60104MR1959794
  15. [15] A.S. Sznitman, M.P.W. Zerner, A law of large numbers for random walks in random environment, Ann. Probab.27 (4) (1999) 1851-1869. Zbl0965.60100MR1742891
  16. [16] O. Zeitouni, Notes of Saint Flour lectures 2001, Preprint, http://www-ee.technion.ac.il/~zeitouni/ps/notes1.ps. 

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