On which graphs are all random walks in random environments transient?

Details On which graphs are all random walks in random environments transient? On which graphs are all random walks in random environments transient?

2004-04-05

arxiv.org/abs/math/0404087v1

Random Discrete Structures, 207 - 211, IMA Vol. Math. Appl., 76, Springer(1996)

Mathematics

Probability

7 pages

Scientific paper

An infinite graph G has the property that a random walk in random environment
on G defined by i.i.d. resistances with any common distribution is almost
surely transient, if and only if for some p<1, simple random walk is transient
on a percolation cluster of G under bond percolation with parameter p.

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