Upper limits of Sinai’s walk in random scenery
نویسندگان
چکیده
منابع مشابه
Annealed Deviations of Random Walk in Random Scenery
Let (Zn)n∈N be a d-dimensional random walk in random scenery, i.e., Zn = ∑n−1 k=0 Y (Sk) with (Sk)k∈N0 a random walk in Z d and (Y (z))z∈Zd an i.i.d. scenery, independent of the walk. The walker’s steps have mean zero and some finite exponential moments. We identify the speed and the rate of the logarithmic decay of P( 1 nZn > bn) for various choices of sequences (bn)n in [1,∞). Depending on (b...
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• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
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Let (Zn)n∈N0 be a d-dimensional random walk in random scenery, i.e., Zn = ∑n−1 k=0 YSk with (Sk)k∈N0 a random walk in Z d and (Yz)z∈Zd an i.i.d. scenery, independent of the walk. We assume that the random variables Yz have a stretched exponential tail. In particular, they do not possess exponential moments. We identify the speed and the rate of the logarithmic decay of P( 1 nZn > tn) for all se...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2008
ISSN: 0304-4149
DOI: 10.1016/j.spa.2007.07.006