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Pré-Publication, Document De Travail Année : 2006

On the speed of a cookie random walk

Résumé

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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Dates et versions

hal-00114953 , version 1 (19-11-2006)

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Anne-Laure Basdevant, Arvind Singh. On the speed of a cookie random walk. 2006. ⟨hal-00114953⟩
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