The critical density for the frog model is the degree of the tree

Abstract

The frog model on the rooted d-ary tree changes from transient to recurrent as the number of frogs per site is increased. We prove that the location of this transition is on the same order as the degree of the tree.

12 pages; final published version

References in corpus (1)

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

Cited by in corpus (1)

• A stochastic combustion model with thresholds on trees