Large deviations for stable like random walks on Zd with applications to random walks on wreath products

被引:3
作者
Saloff-Coste, Laurent [1 ]
Zheng, Tianyi [1 ]
机构
[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
来源
ELECTRONIC JOURNAL OF PROBABILITY | 2013年 / 18卷
关键词
Random walks; whreath product; large deviations;
D O I
10.1214/EJP.v18-2439
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We derive Donsker-Vardhan type results for functionals of the occupation times when the underlying random walk on Z(d) is in the domain of attraction of an operator-stable law on R-d. Applications to random walks on wreath products (also known as lamplighter groups) are given.
引用
收藏
页码:1 / 35
页数:35
相关论文
共 22 条
[1]   Symmetrization of Levy processes and applications [J].
Banuelos, Rodrigo ;
Mendez-Hernandez, Pedro J. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (12) :4026-4051
[2]  
Bendikov A., ANN PROBAB
[3]   Long-time tails in the parabolic Anderson model with bounded potential [J].
Biskup, M ;
König, W .
ANNALS OF PROBABILITY, 2001, 29 (02) :636-682
[4]  
Chen Xia, 2010, RANDOM WALK INTERSEC
[5]  
Dembo A., 2010, STOCHASTIC MODELLING, V38
[6]  
Deuschel J.-D., 1989, PURE APPL MATH, V137
[7]   NUMBER OF DISTINCT SITES VISITED BY A RANDOM-WALK [J].
DONSKER, MD ;
VARADHAN, SRS .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (06) :721-747
[8]   ASYMPTOTICS FOR WIENER SAUSAGE [J].
DONSKER, MD ;
VARADHAN, SRS .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (04) :525-565
[9]   Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks [J].
Erschler, Anna .
PROBABILITY THEORY AND RELATED FIELDS, 2006, 136 (04) :560-586
[10]  
FELLER W., 1965, CONTRIBUTIONS PROB 2, V2, P373