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arXiv · 1509.01431

Improved mixing rates of directed cycles by added connection

Balázs Gerencsér·Julien Hendrickx
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Abstract

We investigate the mixing rate of a Markov chain where a combination of long distance edges and non-reversibility is introduced: as a first step, we focus here on the following graphs: starting from the cycle graph, we select random nodes and add all edges connecting them. We prove a square factor improvement of the mixing rate compared to the reversible version of the Markov chain.

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Balázs Gerencsér, Julien Hendrickx. 2015-09-04. Improved mixing rates of directed cycles by added connection. https://arxiv.org/abs/1509.01431

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