On the speed of a cookie random walk

Details On the speed of a cookie random walk On the speed of a cookie random walk

2006-11-19

arxiv.org/abs/math/0611580v1

Mathematics

Probability

Scientific paper

We consider the model of the one-dimensional cookie random walk when the initial cookie distribution is spatially uniform and the number of cookies per site is finite. We give a criterion to decide whether the limiting speed of the walk is non-zero. In particular, we show that a positive speed may be obtained for just 3 cookies per site. We also prove a result on the continuity of the speed with respect to the initial cookie distribution.

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