Excited random walk against a wall

Gideon Amir; Itai Benjamini; Gady Kozma

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Excited random walk against a wall

Gideon Amir·Itai Benjamini·Gady Kozma

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Abstract

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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Gideon Amir, Itai Benjamini, Gady Kozma. 2006-10-27. Excited random walk against a wall. https://arxiv.org/abs/math/0509464

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