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Strong approximation for the general Kesten-Spitzer random walk in independent random scenery |
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| Authors: | ZHANG Lixin |
| Institution: | epartment of Mathematics, Zhejiang University, Hangzhou 310028, China (email: l xzhang@mail.hz.zj.cn) |
| Abstract: | This paper is to prove that, if a one-dimensional random wa lkcan be approximated by a Brownian motion, then the related random walk in a g eneral independent scenery can be approximated by a Brownian motion in Brownian scenery. |
| Keywords: | local time random walk in random scenery Brownian moti on inBrownian scenery strong approximation the law of iterated logarithm |
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