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Improved Mixing Rates of Directed Cycles by Added Connection

Author

Listed:
  • Balázs Gerencsér

    (MTA Alfréd Rényi Institute of Mathematics)

  • Julien M. Hendrickx

    (Université catholique de Louvain)

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.

Suggested Citation

  • Balázs Gerencsér & Julien M. Hendrickx, 2019. "Improved Mixing Rates of Directed Cycles by Added Connection," Journal of Theoretical Probability, Springer, vol. 32(2), pages 684-701, June.
    • Handle: RePEc:spr:jotpro:v:32:y:2019:i:2:d:10.1007_s10959-018-0861-x
    DOI: 10.1007/s10959-018-0861-x
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