Open Access
2019 Infection spread for the frog model on trees
Christopher Hoffman, Tobias Johnson, Matthew Junge
Electron. J. Probab. 24: 1-29 (2019). DOI: 10.1214/19-EJP368


The frog model is an infection process in which dormant particles begin moving and infecting others once they become infected. We show that on the rooted $d$-ary tree with particle density $\Omega (d^{2})$, the set of visited sites contains a linearly expanding ball and the number of visits to the root grows linearly with high probability.


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Christopher Hoffman. Tobias Johnson. Matthew Junge. "Infection spread for the frog model on trees." Electron. J. Probab. 24 1 - 29, 2019.


Received: 5 August 2018; Accepted: 20 September 2019; Published: 2019
First available in Project Euclid: 9 October 2019

zbMATH: 07142906
MathSciNet: MR4017130
Digital Object Identifier: 10.1214/19-EJP368

Primary: 60J10 , 60J80 , 60K35

Keywords: frog model , phase transition

Vol.24 • 2019
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