Random Walks on the Two-Dimensional K-Comb Lattice

DOI10.1556/314.2023.00001arXiv2206.14880OpenAlexW4319316115MaRDI QIDQ6097408

Antónia Földes, Endre Csáki

Publication date: 5 June 2023

Published in: Mathematica Pannonica (Search for Journal in Brave)

Abstract: We study the path behavior of the symmetric walk on some special comb-type subsets of ${mathbbZ}^2$ which are obtained from ${mathbbZ}^2$ by generalizing the comb having finitely many horizontal lines instead of one.

Full work available at URL: https://arxiv.org/abs/2206.14880

zbMATH Keywords

random walkstrong approximationiterated Brownian motionlaws of the iterated logarithm2-dimensional comb2-dimensional Wiener process

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Brownian motion (60J65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Functional limit theorems; invariance principles (60F17)

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