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A rotor configuration with maximum escape rate

Published 30 Oct 2018 in math.PR and math.CO | (1810.12784v1)

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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