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Transition of the Simple Random Walk on the Ice Model Graph

Author

Listed:
  • Xavier Bressaud

    (Université de Toulouse, CNRS, UT3)

  • Serge Cohen

    (Université de Toulouse, CNRS, UT3)

Abstract

The 6-vertex model holds significance in various mathematical and physical domains. The configurations of the 6-vertex model correspond to the paths in multigraphs. This article focuses on calculating the transition probability for the simple random walk on these multigraphs. An intriguing aspect of the findings is the utilization of continued fractions in the computation of the transition probability.

Suggested Citation

  • Xavier Bressaud & Serge Cohen, 2024. "Transition of the Simple Random Walk on the Ice Model Graph," Journal of Theoretical Probability, Springer, vol. 37(4), pages 3455-3478, November.
    • Handle: RePEc:spr:jotpro:v:37:y:2024:i:4:d:10.1007_s10959-024-01357-x
    DOI: 10.1007/s10959-024-01357-x
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