Excited random walk against a wall

Details Excited random walk against a wall Excited random walk against a wall

2005-09-21

arxiv.org/abs/math/0509464v3

Mathematics

Probability

16 pages. Revised as per referee remarks. To appear in Probab. Theory Related Fields

Scientific paper

We analyze random walk in the upper half of a three dimensional lattice which
goes down whenever it encounters a new vertex, a.k.a. excited random walk. We
show that it is recurrent with an expected number of returns of square-root log
n.

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