Mathematics – Probability
Scientific paper
2008-03-11
Mathematics
Probability
As noticed by a referee, the result of this note follows from a recent result of Kosygina and Zerner (simply by using a monoto
Scientific paper
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.
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