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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70736An 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.7 pagesProbability60K35 (Primary) 60J15 (Secondary)On which graphs are all random walks in random environments transient?text