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arXiv · 1311.3749

Deterministic Random Walks for Rapidly Mixing Chains

Takeharu Shiraga·Yukiko Yamauchi·Shuji Kijima·Masafumi Yamashita
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Abstract

The rotor-router model is a deterministic process analogous to a simple random walk on a graph. This paper is concerned with a generalized model, functional-router model, which imitates a Markov chain possibly containing irrational transition probabilities. We investigate the discrepancy of the number of tokens at a single vertex between the functional-router model and its corresponding Markov chain, and give an upper bound in terms of the mixing time of the Markov chain.

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Takeharu Shiraga, Yukiko Yamauchi, Shuji Kijima, Masafumi Yamashita. 2015-08-11. Deterministic Random Walks for Rapidly Mixing Chains. https://arxiv.org/abs/1311.3749

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