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作者：Asselah, A; Castell, F
作者单位：Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS)
摘要：We prove large deviations principles in large time, for the Brownian occupation time in random scenery 1/t integral(0)(t) xi(B-s) ds. The random field is constant on the elements of a partition of R-d into unit cubes. These random constants, say {xi(j), j is an element of Z(d)} consist of i.i.d. bounded variables, independent of the Brownian motion {B-s, s greater than or equal to 0}. This model is a time-continuous version of Kesten and Spitzer's random walk in random scenery. We prove large ...
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作者：Berlinkov, A
作者单位：University of Jyvaskyla
摘要：We explore the exact packing dimension of certain random recursive constructions. In case of polynomial decay at 0 of the distribution function of random variable X, associated with the construction, we prove that it does not exist, and in case of exponential decay it is t(alpha)|log|logt||(beta), where alpha is the fractal dimension of the limit set and 1/beta is the rate of exponential decay.
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作者：Heinrich, M; Rolles, SWW
作者单位：University of Bielefeld; University of California System; University of California Los Angeles
摘要：We show that an i.i.d. uniformly colored scenery on Z observed along a random walk path with bounded jumps can still be reconstructed if there are some errors in the observations. We assume the random walk is recurrent and can reach every point with positive probability. At time k, the random walker observes the color at her present location with probability 1 - delta and an error Y-k with probability delta. The errors Y-k, k greater than or equal to 0, are assumed to be stationary and ergodic...
