Transient NN random walk on the line

Details Transient NN random walk on the line Transient NN random walk on the line

2007-07-05

arxiv.org/abs/0707.0734v1

Mathematics

Probability

25 pages

Scientific paper

We prove strong theorems for the local time at infinity of a nearest neighbor
transient random walk. First, laws of the iterated logarithm are given for the
large values of the local time. Then we investigate the length of intervals
over which the walk runs through (always from left to right) without ever
returning.

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