Strong approximation for the general Kesten-Spitzer random walk in independent random scenery

DOI10.1007/BF02876710zbMath0997.60046MaRDI QIDQ1609673

Zhang, Lixin

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

local timelaw of iterated logarithmstrong approximationBrownian motion in Brownian scenery

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Brownian motion (60J65) Processes in random environments (60K37)

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Some limit properties of local time for random walk ⋮ Asymptotic properties for Cauchy's principal values of Brownian and random walk local time ⋮ Quenched tail estimate for the random walk in random scenery and in random layered conductance ⋮ Some limsup results for increments of stable processes in random scenery

Cites Work

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• Brownian local time approximated by a Wiener sheet
• Almost sure invariance principles for mixing sequences of random variables
• An embedding for the Kesten-Spitzer random walk in random scenery
• A law of the iterated logarithm for stable processes in random scenery
• The local time of iterated Brownian motion
• A limit theorem related to a new class of self similar processes