Probabilistic Methods in Applied Mathematics: Volume 3

Probabilistic Methods in Applied Mathematics, Volume 3 focuses on the influence of the probability theory on the formulation of mathematical models and development of theories in many applied fields.The selection first offers information on statistically well-set Cauchy problems and wave propagation in random anisotropic media.\n\nDiscussions focus on extension to biaxial anisotropic random media; an effective medium description for a random uniaxial anisotropic medium and the resulting dyadic Green's function; evolution of the spectral matrix measure; and well-set Cauchy problems. The text then examines stochastic processes in heat and mass transport, including mass transport, velocity field, temperature transport, and coupling of mass and heat transport.The manuscript takes a look at the potential theory for Markov chains and stochastic differential games. Topics include formal solutions for some classes of stochastic linear pursuit-evasion games; solution of a stochastic linear pursuit-evasion game with nonrandom controls; problems of potential theory; and hitting distributions.The selection is a vital source of data for mathematicians and researchers interested in the probability theory.Probabilistic Methods in Applied Mathematics: Volume 3 is written by Author and published by Academic Press. ISBNs for Probabilistic Methods in Applied Mathematics are 9781483276120, 1483276120 and the print ISBNs are 9780120957033, 0120957035.