Tobias Johnson, Matthew Junge
Published 2016-07-26Version 1
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.
Comments: 12 pages. This was originally part of "Stochastic Orders and the Frog Model" (arXiv:1602.04411v1). However, it is sufficiently unrelated that separating the two makes for a clearer presentation
Recurrence and transience for the frog model on trees
The frog model with drift on R
Critical density of activated random walks on $\mathbb{Z}^d$ and general graphs
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