The Speed of Frogs With Drift on $Z$
2016, v.22, №2, 379-392
In this article we consider the frog model with drift on $\Z$ and investigate the behaviour of the cloud of the frogs. In particular, we show that the speed of the minimum equals the speed of a single frog and prove some properties of the speed of the maximum. In addition, we show a limit theorem for the empirical distribution.
Keywords: frog model, interacting random walks