3.8 Article

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

Journal

Publisher

SCIENCE PRESS
DOI: 10.1007/BF02876710

Keywords

local time; random walk in random scenery; Brownian motion in Brownian scenery; strong approximation; the law of iterated logarithm

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This paper is to prove that, if a one-dimensional random walk can be approximated by a Brownian motion, then the related random walk in a general independent scenery can be approximated by a Brownian motion in Brownian scenery.

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