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Mathematics  2011 

Local asymptotics for the time of first return to the origin of transient random walk

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Abstract:

We consider a transient random walk on $Z^d$ which is asymptotically stable, without centering, in a sense which allows different norming for each component. The paper is devoted to the asymptotics of the probability of the first return to the origin of such a random walk at time $n$.

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