scholarly journals A random environment for linearly edge-reinforced random walks on infinite graphs

2006 ◽  
Vol 138 (1-2) ◽  
pp. 157-176 ◽  
Author(s):  
Franz Merkl ◽  
Silke W. W. Rolles
Keyword(s):  
Random Walks ◽  
Random Environment ◽  
Infinite Graphs ◽  
Reinforced Random Walks

scholarly journals Edge- and vertex-reinforced random walks with super-linear reinforcement on infinite graphs

2017 ◽  
Vol 45 (4) ◽  
pp. 2655-2706 ◽  
Author(s):  
Codina Cotar ◽  
Debleena Thacker
Keyword(s):  
Random Walks ◽  
Infinite Graphs ◽  
Reinforced Random Walks

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.

Computer Simulations for Some One-Dimensional Models of Random Walks in Fluctuating Random Environment

2005 ◽  
Vol 121 (3-4) ◽  
pp. 361-372 ◽  
Author(s):  
C. Boldrighini ◽  
G. Cosimi ◽  
S. Frigio ◽  
A. Pellegrinotti
Keyword(s):  
Random Walks ◽  
Computer Simulations ◽  
Random Environment ◽  
One Dimensional ◽  
Dimensional Models

scholarly journals On slowdown and speedup of transient random walks in random environment

2009 ◽  
Vol 147 (1-2) ◽  
pp. 43-88 ◽  
Author(s):  
Alexander Fribergh ◽  
Nina Gantert ◽  
Serguei Popov
Keyword(s):  
Random Walks ◽  
Random Environment

scholarly journals Reinforced random walks and random distributions

1990 ◽  
Vol 110 (1) ◽  
pp. 251-251 ◽  
Author(s):  
R. Daniel Mauldin ◽  
S. C. Williams
Keyword(s):  
Random Walks ◽  
Reinforced Random Walks ◽  
Random Distributions
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