Dynamical properties of a random walk in a one-dimensional random medium

1991 ◽  
Vol 171 (1) ◽  
pp. 47-68 ◽  
Author(s):  
C. Aslangul ◽  
M. Barthélémy ◽  
N. Pottier ◽  
D. Saint-James
Keyword(s):  
Random Walk ◽  
Random Medium ◽  
One Dimensional ◽  
Dynamical Properties

Random walk in a one-dimensional random medium

1990 ◽  
Vol 164 (1) ◽  
pp. 52-80 ◽  
Author(s):  
C. Aslangul ◽  
N. Pottier ◽  
D. Saint-James
Keyword(s):  
Random Walk ◽  
Random Medium ◽  
One Dimensional

scholarly journals RANDOM WALK IN QUASI-PERIODIC RANDOM ENVIRONMENT

2009 ◽  
Vol 09 (01) ◽  
pp. 47-70 ◽  
Author(s):  
JULIEN BRÉMONT
Keyword(s):  
Random Walk ◽  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Random Environment ◽  
Random Medium ◽  
Diophantine Condition ◽  
Finite Range ◽  
One Dimensional

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.

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