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!)

References in corpus (1)

• Phase transition for the frog model

Cited by in corpus (10)

• From transience to recurrence with Poisson tree frogs
• Recurrence and transience for the frog model on trees
• Stochastic orders and the frog model
• Recurrence and Transience of Frogs with Drift on ${\mathbb{Z}}^d$
• The critical density for the frog model is the degree of the tree
• Infection spread for the frog model on trees
• On the range of the transient frog model on Z
• Deviation bounds for the first passage time in the frog model
• Random walks systems with finite lifetime on $\mathbb{Z}$
• Critical percolation and A+B --> 2A dynamics