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On the Study of Cycle Chains Representing Non-reversible Markov Chains Associated with Random Walks with Jumps in Fixed Environments

Author

Listed:
  • Chrysoula Ganatsiou

    (University of Thessaly)

  • Ilias K. Savvas

    (University of Thessaly)

  • Apostolos Xenakis

    (University of Thessaly)

Abstract

By considering a random walk with jumps with steps ( + 3 $$+3$$ ) or ( −1 $$-1$$ ), we investigate the unique representations by cycles and weights of the corresponding non-reversible Markov chains (cycle chains) describing the abovementioned random walk in fixed environments. This will give us the possibility to find a suitable criterion regarding the properties of recurrence and transience of the abovementioned cycle chains in fixed environments.

Suggested Citation

  • Chrysoula Ganatsiou & Ilias K. Savvas & Apostolos Xenakis, 2025. "On the Study of Cycle Chains Representing Non-reversible Markov Chains Associated with Random Walks with Jumps in Fixed Environments," Springer Optimization and Its Applications,, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-78369-2_6
    DOI: 10.1007/978-3-031-78369-2_6
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