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Random Walks on Comb-Type Subsets of $$\mathbb {Z}^2$$ Z 2

Author

Listed:
  • Endre Csáki

    (Hungarian Academy of Sciences)

  • Antónia Földes

    (CUNY)

Abstract

We study the path behavior of the simple symmetric walk on some comb-type subsets of $${{\mathbb {Z}}}^2$$ Z 2 which are obtained from $${{\mathbb {Z}}}^2$$ Z 2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

Suggested Citation

  • Endre Csáki & Antónia Földes, 2020. "Random Walks on Comb-Type Subsets of $$\mathbb {Z}^2$$ Z 2," Journal of Theoretical Probability, Springer, vol. 33(4), pages 2233-2257, December.
    • Handle: RePEc:spr:jotpro:v:33:y:2020:i:4:d:10.1007_s10959-019-00938-5
    DOI: 10.1007/s10959-019-00938-5
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    References listed on IDEAS

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