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Strong Approximation of the Anisotropic Random Walk Revisited

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  • Endre Csáki

    (Alfréd Rényi Institute of Mathematics)

  • Antónia Földes

    (CUNY)

Abstract

We study the path behavior of the anisotropic random walk on the two-dimensional lattice $$\mathbb {Z}^2$$ Z 2 . Simultaneous strong approximation of its components are given.

Suggested Citation

  • Endre Csáki & Antónia Földes, 2022. "Strong Approximation of the Anisotropic Random Walk Revisited," Journal of Theoretical Probability, Springer, vol. 35(4), pages 2879-2895, December.
    • Handle: RePEc:spr:jotpro:v:35:y:2022:i:4:d:10.1007_s10959-021-01142-0
    DOI: 10.1007/s10959-021-01142-0
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    References listed on IDEAS

    as
    1. Shuler, Kurt E., 1979. "Random walks on sparsely periodic and random lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(1), pages 12-34.
    2. Weiss, George H. & Havlin, Shlomo, 1986. "Some properties of a random walk on a comb structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(2), pages 474-482.
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