scholarly journals The quenched invariance principle for random walks in random environments admitting a bounded cycle representation

2008 ◽  
Vol 44 (3) ◽  
pp. 574-591 ◽  
Author(s):  
Jean-Dominique Deuschel ◽  
Holger Kösters
Keyword(s):  
Random Walks ◽  
Invariance Principle ◽  
Random Environments

scholarly journals A comparison of random walks in dependent random environments

2016 ◽  
Vol 48 (1) ◽  
pp. 199-214
Author(s):  
Werner R. W. Scheinhardt ◽  
Dirk P. Kroese
Keyword(s):  
Random Walks ◽  
Random Environment ◽  
Moving Average ◽  
Random Environments ◽  
Dependency Structure ◽  
Interesting Behavior

Abstract We provide exact computations for the drift of random walks in dependent random environments, including k-dependent and moving average environments. We show how the drift can be characterized and evaluated using Perron–Frobenius theory. Comparing random walks in various dependent environments, we demonstrate that their drifts can exhibit interesting behavior that depends significantly on the dependency structure of the random environment.

scholarly journals Law of large numbers for non-elliptic random walks in dynamic random environments

2013 ◽  
Vol 123 (1) ◽  
pp. 156-190 ◽  
Author(s):  
F. den Hollander ◽  
R. dos Santos ◽  
V. Sidoravicius
Keyword(s):  
Random Walks ◽  
Law Of Large Numbers ◽  
Random Environments ◽  
Large Numbers

Invariance principle for nonhomogeneous random walks on the grid ℤ1

1999 ◽  
Vol 66 (3) ◽  
pp. 372-383
Author(s):  
D. A. Yarotskii
Keyword(s):  
Random Walks ◽  
Invariance Principle

scholarly journals Einstein relation for random walks in random environments

2005 ◽  
Vol 115 (8) ◽  
pp. 1279-1301 ◽  
Author(s):  
T. Komorowski ◽  
S. Olla
Keyword(s):  
Random Walks ◽  
Einstein Relation ◽  
Random Environments

Random walks and random environments, vol. 2, random environments

1997 ◽  
Vol 87 (3-4) ◽  
pp. 961-962 ◽  
Author(s):  
Jack F. Douglas
Keyword(s):  
Random Walks ◽  
Random Environments
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