Excited random walk against a wall |
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Authors: | Gideon Amir Itai Benjamini Gady Kozma |
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Affiliation: | (1) Weizmann Institute, Rehovot, 76100, Israel |
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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 . |
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Keywords: | |
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