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Title:

Recurrence for the Frog Model with Drift on Z

Document type:
Zeitschriftenaufsatz
Author(s):
Gantert, Nina; Schmidt, Philipp
Abstract:
The frog model is a system of interacting random walks. We give a criterion for recurrence/transience for the frog model in a particular example. In our case, the underlying random walk is an asymmetric random walk on Z, and the starting configuration is i.i.d. We also show that in this example, the probability to visit the origin infinitely often satisfies a 0-1-law.
Journal title:
Markov Processes and Related Fields
Year:
2009
Pages contribution:
no. 1, 51–58. 60J10
E-ISSN:
1024-2953
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