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arXiv · 1301.3521

Escape rates for rotor walk in Z^d

Laura Florescu·Shirshendu Ganguly·Lionel Levine·Yuval Peres
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Abstract

Rotor walk is a deterministic analogue of random walk. We study its recurrence and transience properties on Z^d for the initial configuration of all rotors aligned. If n particles in turn perform rotor walks starting from the origin, we show that the number that escape (i.e., never return to the origin) is of order n in dimensions d>=3, and of order n/log(n) in dimension 2.

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Laura Florescu, Shirshendu Ganguly, Lionel Levine, Yuval Peres. 2013-12-11. Escape rates for rotor walk in Z^d. https://arxiv.org/abs/1301.3521

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