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  • Authors: Zám, Éva; Kádek, István;
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  • Authors: Csáki, Endre; Csörgő, Miklós; Földes, Antónia; Révész, Pál;

    We study limiting properties of a random walk on the plane, when we have a square lattice on the upper half-plane and a comb structure on the lower half-plane, i.e., horizontal lines below the x-axis are removed. We give strong approximations for the components with random time changed Wiener processes. As consequences, limiting distributions and some laws of the iterated logarithm are presented. Finally, a formula is given for the probability that the random walk returns to the origin in 2N steps.

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2 Research products
  • Authors: Zám, Éva; Kádek, István;
    more_vert
  • Authors: Csáki, Endre; Csörgő, Miklós; Földes, Antónia; Révész, Pál;

    We study limiting properties of a random walk on the plane, when we have a square lattice on the upper half-plane and a comb structure on the lower half-plane, i.e., horizontal lines below the x-axis are removed. We give strong approximations for the components with random time changed Wiener processes. As consequences, limiting distributions and some laws of the iterated logarithm are presented. Finally, a formula is given for the probability that the random walk returns to the origin in 2N steps.

    more_vert
Powered by OpenAIRE graph