Journal
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
Volume 44, Issue 5, Pages 619-630Publisher
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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