Strong approximation of spatial random walk in random scenery.

DOI10.1016/S0304-4149(00)00010-7zbMath1045.60041OpenAlexW1966000058WikidataQ127705945 ScholiaQ127705945MaRDI QIDQ1877519

Zhan Shi, Pál Révész

Publication date: 7 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(00)00010-7

zbMATH Keywords

Wiener processstrong approximationrandom scenerysymmetric random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (5)

A strong invariance principle for two-dimensional random walk in random scenery. ⋮ Moderate deviations and laws of the iterated logarithm for the local times of additive Lévy processes and additive random walks ⋮ Chover-type laws of the iterated logarithm for Kesten-Spitzer random walks in random sceneries belonging to the domain of stable attraction ⋮ Self-intersection local times of additive processes: large deviation and law of the iterated logarithm ⋮ Almost sure approximation of the superposition of the random processes

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• A Limit Theorem for Brownian Motion in a Random Scenery
• An approximation of partial sums of independent RV's, and the sample DF. II
• The approximation of partial sums of independent RV's
• A limit theorem related to a new class of self similar processes

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