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Random Walk in a Finite Directed Graph Subject to a Road Coloring

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  • Kouji Yano

    (Kyoto University)

Abstract

A necessary and sufficient condition for a random walk in a finite directed graph subject to a road coloring to be measurable with respect to the driving process is proved to be that the road coloring is synchronizing. The key to the proof is to find a hidden symmetry in the non-synchronizing case.

Suggested Citation

  • Kouji Yano, 2013. "Random Walk in a Finite Directed Graph Subject to a Road Coloring," Journal of Theoretical Probability, Springer, vol. 26(1), pages 259-283, March.
    • Handle: RePEc:spr:jotpro:v:26:y:2013:i:1:d:10.1007_s10959-011-0398-8
    DOI: 10.1007/s10959-011-0398-8
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    References listed on IDEAS

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    1. Hirayama, Takao & Yano, Kouji, 2010. "Extremal solutions for stochastic equations indexed by negative integers and taking values in compact groups," Stochastic Processes and their Applications, Elsevier, vol. 120(8), pages 1404-1423, August.
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    Cited by:

    1. Yu Ito & Toru Sera & Kouji Yano, 2023. "Resolution of Sigma-Fields for Multiparticle Finite-State Action Evolutions with Infinite Past," Journal of Theoretical Probability, Springer, vol. 36(3), pages 1368-1399, September.

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    3. Yu Ito & Toru Sera & Kouji Yano, 2023. "Resolution of Sigma-Fields for Multiparticle Finite-State Action Evolutions with Infinite Past," Journal of Theoretical Probability, Springer, vol. 36(3), pages 1368-1399, September.

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