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Full Description
This work contains the invited lectures and some selected short communications which were presented during the Third International Katsiveli Conference on Evolutionary Stochastic Systems in Physics and Biology. The topics covered in this volume include limit theorems and their applications for random evolutions, stability of evolutionary stochastic systems, Martingale techniques in the theory of random evolutions, stochastic dynamical systems and evolutionary stochastic systmes in physics and biology. This proceedings volume should be of particular interest to researchers in the areas of pure and applied theory of probability, theoretical physics, biology and social sciences.
Contents
Part 1 Random evolutions: switchings processes - asymptotic theory and applications, V.V. Anisimov; limit theorems for the basic states in a Gaussian random medium, A. Astrauskas; the birth of random evolutions, R. Hersh; on a non-commutative generalization of Hunt's theorem, A.S. Holevo; Chebyshev's polynomials of two variables and the equations of symmetric Markovian random evolutions on a plane, A.D. Kolesnik; stochastic systems in a random Markov medium, V.S. Koroljuk and V.V. Koroljuk; on the vector process obtained by iterated integration of the telegraph signal. E. Orsingher. Part 2 Stochastic systems: on regularity of branching process with interaction of particles, I.S. Badalbaev and A.A. Mukhitdinov; lie group and lie algebras-valued semi-Martingales, L.V. Kovalchuk; limit theorem for correlogram of Gaussian field with long-range dependence, N. Leonenko and A. Portnova; frequency-time representation of non-stationary random process with the bounded weighted-mean power, K.A. Lukin and A.A. Mogila; logarithmic asymptotic for certain functionals, S. Makhno; stochastic processes in a Hilbert space which are constructed by analogy with the Skew Brownian motion, N.I. Potenko; solution of the Cauchy problem for evolutionary equation in Banach space with random impulses, M.Y. Swishchuk; the empirical Laplace transform in branching processes, A. Vanmarcke and J.L. Teugels; on large deviations in stochastic averaging principle for ergodic processes, A.Yu. Veretennikov. Part 3 Stochastic differential equations. Part 4 Statistical mechanics and evolutionary systems. Part 5 Mathematical statistics of random processes. Part 6 Boundary problems and queueing theory. (Part contents)
