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Strong approximation for the general Resten-Spitzer random walk in independent random scenery |
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| Authors: | Lixin Zhang |
| Institution: | (1) Department of Mathematics, Zhejiang University, 310028 Hangzhou, China |
| Abstract: | 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. |
| Keywords: | local time random walk in random scenery Brownian motion in Brownian scenery strong approximation the law of iterated logarithm |
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