## Electronic Communications in Probability

### 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.

#### Article information

Source
Electron. Commun. Probab. Volume 21 (2016), paper no. 82, 12 pp.

Dates
Accepted: 15 November 2016
First available in Project Euclid: 3 December 2016

https://projecteuclid.org/euclid.ecp/1480734227

Digital Object Identifier
doi:10.1214/16-ECP29

Zentralblatt MATH identifier
1354.60119

#### Citation

Johnson, Tobias; Junge, Matthew. The critical density for the frog model is the degree of the tree. Electron. Commun. Probab. 21 (2016), paper no. 82, 12 pp. doi:10.1214/16-ECP29. https://projecteuclid.org/euclid.ecp/1480734227

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