scholarly journals A subdiffusive behaviour of recurrent random walk in random environment on a regular tree

2007 ◽  
Vol 138 (3-4) ◽  
pp. 521-549 ◽  
Author(s):  
Yueyun Hu ◽  
Zhan Shi
Keyword(s):  
Random Walk ◽  
Random Environment ◽  
Regular Tree ◽  
Recurrent Random Walk

scholarly journals Recurrence and Transience of Critical Branching Processes in Random Environment with Immigration and an Application to Excited Random Walks

2014 ◽  
Vol 46 (03) ◽  
pp. 687-703 ◽  
Author(s):  
Elisabeth Bauernschubert
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Random Environment ◽  
Branching Processes ◽  
Random Environments ◽  
Recurrent Random Walk ◽  
The Right

We establish recurrence and transience criteria for critical branching processes in random environments with immigration. These results are then applied to the recurrence and transience of a recurrent random walk in a random environment on ℤ disturbed by cookies inducing a drift to the right of strength 1.

On the non-recurrent random walk in a random environment

2018 ◽  
Vol 28 (3) ◽  
pp. 139-156 ◽  
Author(s):  
Valeriy I. Afanasyev
Keyword(s):  
Random Walk ◽  
Limit Theorem ◽  
Random Environment ◽  
Recurrent Random Walk ◽  
High Level ◽  
Transient Random Walk

Abstract For weakly transient random walk in a random environment that tend at −∞ the limit theorem for the time of hitting a high level is proved.

scholarly journals Recurrence and Transience of Critical Branching Processes in Random Environment with Immigration and an Application to Excited Random Walks

2014 ◽  
Vol 46 (3) ◽  
pp. 687-703
Author(s):  
Elisabeth Bauernschubert
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Random Environment ◽  
Branching Processes ◽  
Random Environments ◽  
Recurrent Random Walk ◽  
The Right

We establish recurrence and transience criteria for critical branching processes in random environments with immigration. These results are then applied to the recurrence and transience of a recurrent random walk in a random environment on ℤ disturbed by cookies inducing a drift to the right of strength 1.

scholarly journals Ballisticity conditions for random walk in random environment

2010 ◽  
Vol 150 (1-2) ◽  
pp. 61-75 ◽  
Author(s):  
A. Drewitz ◽  
A. F. Ramírez
Keyword(s):  
Random Walk ◽  
Random Environment

scholarly journals Random walk in a high density dynamic random environment

2014 ◽  
Vol 25 (4) ◽  
pp. 785-799 ◽  
Author(s):  
Frank den Hollander ◽  
Harry Kesten ◽  
Vladas Sidoravicius
Keyword(s):  
Random Walk ◽  
Random Environment ◽  
High Density ◽  
Density Dynamic
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