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2016 The critical density for the frog model is the degree of the tree
Tobias Johnson, Matthew Junge
Electron. Commun. Probab. 21: 1-12 (2016). DOI: 10.1214/16-ECP29

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.

Citation

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Tobias Johnson. Matthew Junge. "The critical density for the frog model is the degree of the tree." Electron. Commun. Probab. 21 1 - 12, 2016. https://doi.org/10.1214/16-ECP29

Information

Received: 28 July 2016; Accepted: 15 November 2016; Published: 2016
First available in Project Euclid: 3 December 2016

zbMATH: 1354.60119
MathSciNet: MR3580451
Digital Object Identifier: 10.1214/16-ECP29

Subjects:
Primary: 60J10, 60J80, 60K35

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