On the asymptotic behavior of random walks on an anisotropic lattice

DOI10.1007/BF01013444zbMath0511.60066MaRDI QIDQ1838771

Christopher C. Heyde

Publication date: 1982

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Brownian motionlaw of the iterated logarithmcentral limit theoremmartingale methodsanisotropic lattices

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (7)

On the local time of the half-plane half-comb walk ⋮ On three conjectures by K. E. Shuler ⋮ Random walks on comb-type subsets of \(\mathbb{Z}^2\) ⋮ Two-dimensional anisotropic random walks: fixed versus random column configurations for transport phenomena ⋮ The asymptotic behavior of a random walk on a dual-medium lattice ⋮ Strong approximation of the anisotropic random walk revisited ⋮ Some Results and Problems for Anisotropic Random Walks on the Plane

Cites Work

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• Random walks on a lattice
• Splitting a Single State of a Stationary Process into Markovian States

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