Excited random walk in two dimensions has linear speed

Details Excited random walk in two dimensions has linear speed Excited random walk in two dimensions has linear speed

2005-12-22

arxiv.org/abs/math/0512535v1

Mathematics

Probability

7 pages

Scientific paper

Excited random walk is a process that has a drift to the right whenever it
encounters a new vertex. The paper shows that in two dimensions it drifts to
the right linearly in time.

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