Excited random walk in three dimensions has positive speed

Details Excited random walk in three dimensions has positive speed Excited random walk in three dimensions has positive speed

2003-10-20

arxiv.org/abs/math/0310305v1

Mathematics

Probability

13 pages

Scientific paper

Excited random walk is a random walk that has a positive drift to the right
when it reaches a vertex it hasn't been to before. We show that in three
dimensions the walk drifts to the right in non-zero speed.

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