Recurrence for the Frog Model with Drift on Z
N. Gantert, P. Schmidt
2009, v.15, Issue 1, 51-58
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.
Keywords: frog model,recurrence and transience,$0-1$-law,interacting random walks
COMMENTS
Please log in or register to leave a comment
There are no comments yet