Open Access
2014 Recurrence for the frog model with drift on $\mathbb{Z}^d$
Christian Döbler, Lorenz Pfeifroth
Author Affiliations +
Electron. Commun. Probab. 19: 1-13 (2014). DOI: 10.1214/ECP.v19-3740

Abstract

In this paper we present a recurrence criterion for the frog model on $\mathbb{Z}^d$ with an i.i.d. initial configuration of sleeping frogs and such that the underlying random walk has a drift to the right.

Citation

Download Citation

Christian Döbler. Lorenz Pfeifroth. "Recurrence for the frog model with drift on $\mathbb{Z}^d$." Electron. Commun. Probab. 19 1 - 13, 2014. https://doi.org/10.1214/ECP.v19-3740

Information

Accepted: 14 November 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1325.60155
MathSciNet: MR3283610
Digital Object Identifier: 10.1214/ECP.v19-3740

Subjects:
Primary: 60K35
Secondary: 60K37

Keywords: frog model , Interacting random walks , recurrence , transience

Back to Top