Excited Random Walk

Details Excited Random Walk Excited Random Walk

2003-02-22

arxiv.org/abs/math/0302271v2

Electronic Communications in Probability, 8:86--92, 2003

Mathematics

Probability

7 pages, v2 is journal version

Scientific paper

A random walk on Z^d is excited if the first time it visits a vertex there is
a bias in one direction, but on subsequent visits to that vertex the walker
picks a neighbor uniformly at random. We show that excited random walk on Z^d,
is transient iff d>1.

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