On which graphs are all random walks in random environments transient?
Abstract
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0404087
 Bibcode:
 2004math......4087P
 Keywords:

 Mathematics  Probability;
 60K35 (Primary) 60J15 (Secondary)
 EPrint:
 7 pages