The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium

2010 ◽  
pp. 18-31
Author(s):  
Ya. G. Sinai
1991 ◽  
Vol 171 (1) ◽  
pp. 47-68 ◽  
Author(s):  
C. Aslangul ◽  
M. Barthélémy ◽  
N. Pottier ◽  
D. Saint-James

1990 ◽  
Vol 164 (1) ◽  
pp. 52-80 ◽  
Author(s):  
C. Aslangul ◽  
N. Pottier ◽  
D. Saint-James

1974 ◽  
Vol 18 (2) ◽  
pp. 387-388 ◽  
Author(s):  
M. V. Kozlov

2009 ◽  
Vol 09 (01) ◽  
pp. 47-70 ◽  
Author(s):  
JULIEN BRÉMONT

We consider a one-dimensional random walk with finite range in a random medium described by an ergodic translation on a torus. For regular data and under a Diophantine condition on the translation, we prove a central limit theorem with deterministic centering.


2007 ◽  
Vol 75 (20) ◽  
Author(s):  
Peijun Yao ◽  
Chuanhong Zhou ◽  
Lina Shi ◽  
Xunya Jiang

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