Excited Random Walk
Itai Benjamini, Weizmann Institute, Rehovot 76100, Israel
David Bruce Wilson, Microsoft Research
Abstract
A random walk on Zd 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 Zd is transient iff d>1.
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