Abstract
We derive a quenched moderate deviations principle for the one-dimensional nearest random walk in random environment, where the environment is assumed to be stationary and ergodic. The approach is based on hitting time decomposition.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alili S. Asymptotic behavior for random walks in random environments. J Appl Probab, 1999, 36: 334–349
Comets F, Gantert N, Zeitouni O. Quenched, annealed and functional large deviations for one-dimensional random walk in random environment. Probab Theory Related Fields, 2000, 118: 65–114
Comets F, Popov S. A note on quenched moderate deviations for Sinai’s random walk in random environment. ESAIM Probab Stat, 2004, 8: 56–65
Dembo A, Zeitouni O. Large Deviations Techniques and Applications. New York: Springer, 1998
Greven A, den Hollander F. Large deviations for a random walk in random environment. Ann Prob, 1994, 22,3, 1381–1428
Solomon F. Random walks in random environments. Ann Probab, 1975, 3: 1–31
Zeitouni O. Random walks in random environments. In: Picard J, ed. LNM 1837. Berlin-Heidelberg: Springer-Verlag, 2004, 189–312
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hong, W., Wang, H. Quenched moderate deviations principle for random walk in random environment. Sci. China Math. 53, 1947–1956 (2010). https://doi.org/10.1007/s11425-010-4052-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11425-010-4052-1