Recurrence for the frog model with drift on ${\mathbb{Z}}^d$

Abstract

In this paper we present a recurrence criterion for the frog model on ${\mathbb{Z}}^d$ with an i.i.d. initial configuration of sleeping frogs and such that the underlying random walk has a drift to the right.

13 pages; problem about missing references fixed (thanks to Tal Orenshtein for letting us know!)

Cited by in corpus (2)

• The critical density for the frog model is the degree of the tree
• On the range of the transient frog model on Z