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Fri, 9 May 2008
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arXiv:0803.1664

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Title: A note on multi-type cookie random walk on integers
Authors: Bruno Schapira (LM-Orsay)
Categories: math.PR Probability Theory
Comments: As noticed by a referee, the result of this note follows from a recent result of Kosygina and Zerner (simply by using a monotonicity argument)
MSC: 60F05; 60F20

Abstract: We consider a random walk on integers where at the first visits to a site the walker gets a positive drift, but where after a certain number of visits the walker gets a negative drift. We prove that the walker is almost surely transient to the left with positive speed.

Owner: Bruno Schapira
Version 1: Tue, 11 Mar 2008 20:03:37 GMT
Version 2: Tue, 25 Mar 2008 12:31:28 GMT

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