The exactly resolved nonlattice model of random media based on Markov walks with a stable law for jumps |
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Authors: | V. Uchaikin G. Gusarov |
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Affiliation: | (1) Ulyanovsk Branch of Moscow State University, Lev Tolstoy, 42, 432700 Ulyanovsk, Russia |
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Abstract: | A random-medium model which is a correlated distribution of points (particles) randomly positioned in the 3-dimensional space is considered. The construction of the medium starts from a noncorrelated (Poisson) distribution of parent particles, each of them initiates a finite Markov chain of its descendants. The complete collection of correlation functions of all orders within the scope of the model have been obtained. The use of the 3-dimensional stable law (Lévy law) as a transition probability allows us to present the correlation function in an explicit form. Proceedings of the XVII Seminar on Stability Problems for Stochastic Models, Kazan, Russian, 1995, Part II. |
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