A Once edge-reinforced random walk on a Galton Watson tree is transient almost surely. This extends a result of Durrett, Kesten and Limic (2002, Probab. Theory Related Fields 122, p. 567) on regular trees. (c) 2005 Elsevier B.V. All rights reserved.Statistics & ProbabilitySCI(E)0ARTICLE2115-1247
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We consider a particle performing a random walk on a Galton–Watson tree, when the probabilities of j...
We consider random walks with transition probabilities depending on the number of consecutive traver...
61 pages, 18 ref.We consider a recurrent random walk on a rooted tree in random environment given by...
We consider a transient random walk (X n ) in random environment on a Galton–Watson tree. Under fair...
We introduce a simple technique for proving the transience of certain processes defined on the random...
As a model of trapping by biased motion in random structure, we study the time taken for a biased ra...
We study the behavior of Random Walk in Random Environment (RWRE) on trees in the critical case left...
Let G be a finite tree. It is shown that edge-reinforced random walk on Z×G with large initial weigh...
We review results on linearly edge-reinforced random walks. On finite graphs, the process has the sa...
Reinforced random walk (RRW) is a broad class of processes which jump between nearest neighbor verti...
Abstract. We consider a nearest neighbor walk on a regular tree, with transition probabilities propo...
We consider a particle performing a random walk on a Galton–Watson tree, when the probabilities of j...
We consider random walks with transition probabilities depending on the number of consecutive traver...
61 pages, 18 ref.We consider a recurrent random walk on a rooted tree in random environment given by...
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