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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We prove that two seemingly-different models of random walk in random environment are generically quite close to one another. One model comes from statistical physics, and describes the behavior of a randomlycharged random polymer. The other model comes from probability theory, and was originally designed to describe a large family of asymptotically self-similar processes that have stationary i...
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We investigate the cumulative scenery process associated with random walks in independent, identically distributed random sceneries under the assumption that the scenery variables satisfy Cramér’s condition. We prove moderate deviation principles in dimensions d ≥ 2, covering all those regimes where rate and speed do not depend on the actual distribution of the scenery. In the case d ≥ 4 we eve...
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Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...
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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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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincare (B) Probability and Statistics
سال: 2007
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2006.01.004