scholarly journals Differing Averaged and Quenched Large Deviations for Random Walks in Random Environments in Dimensions Two and Three

2010 ◽  
Vol 300 (1) ◽  
pp. 243-271 ◽  
Author(s):  
Atilla Yilmaz ◽  
Ofer Zeitouni
Keyword(s):  
Large Deviations ◽  
Random Walks ◽  
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

scholarly journals Large deviations of convex hulls of self-avoiding random walks

2018 ◽  
Vol 97 (6) ◽  
Author(s):  
Hendrik Schawe ◽  
Alexander K. Hartmann ◽  
Satya N. Majumdar
Keyword(s):  
Large Deviations ◽  
Random Walks ◽  
Convex Hulls

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
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