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arXiv · 1810.12784

A rotor configuration with maximum escape rate

Swee Hong Chan
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Abstract

Rotor walk is a deterministic analogue of simple random walk. For any given graph, we construct a rotor configuration for which the escape rate of the corresponding rotor walk is equal to the escape rate of simple random walk, and thus answer a question of Florescu, Ganguly, Levine, and Peres (2014).

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Swee Hong Chan. 2018-10-30. A rotor configuration with maximum escape rate. https://doi.org/10.1214/20-ecp298

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