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

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

2011-04-16

arxiv.org/abs/1104.3191v1

Mathematics

Probability

Scientific paper

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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