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An overview of recent research in the mathematics of random media, considering the field's scientific and technological, as well as mathematical, roots. The 33 papers cover systems of interacting particles, the application of probability theory and partial differential equations to random perturbations of dynamical systems, predicting macroscopic properties from microstructure with effective medium theory, and the phenomenon of localization in the propagation of waves through random media. No index. Annotation copyright Book News, Inc. Portland, Or.
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R Durrett, The contact process, 1974-1989; L Gray, Is the contact process dead?; T Liggett, Limiting behaviour of a one-dimensional system with long range interactions; C Newman, Topics in percolation; G Slade, The lace expansion and the upper critical dimension for percolation; G Swindle, Mandelbrot percolation in two and three dimensions; G Lawler, Intersection probabilities for random walks; R Fisch, A summary of results about cyclic cellular automata; J-P Fouque, Hydrodynamical behaviour of asymmetric attractive particle systems, one example: one-dimensional nearest neighbors asymmetric simple exclusion process; G Stell, Statistical mechanics applied to random-media problems; T Kurtz, A control formulation for constrained Markov processes; C Constantini, Diffusion approximation for a class of transport processes with physical relfection boundary conditons; Y Kifer, Random perturbations of dynamical systems; a new approach; A Eizenberg and M Freidlin, Partial differential systems with a small parameter and diffusion process with a discrete component; D Ioffe and R Pinsky, Asymptotics for the solution of the exterior Dirichlet problem for second-order elliptic operators with small first-order perturbations; T Mikami, Asympotic behaviour of invariant density of diffusion process with small fluctuation; M Pinsky and V Wihstutz, Lyapunov exponents for white and real noise driven two-dimensional systems; B Matowsky, Z Schuss, and C Tier, Asymptotic methods for Markov jump processes; T Naeh, M Klosek, B Matkowsky, and Z Schuss, Uniform solution of Kramers' problem by a direct approach; G Yin and K Ramachandran, On random differential delay equations with a small parameter; V Yurinskii, Homogenization error estimates for random elliptic operators; O Bruno, The effeceive conductivity of composites; K A Lurie, On a general concept in optimal material layout; S Torquato, Microstructure and effective properties of random media; K Golden, Classical transport in quasiperiodic media; J D Maynard, Turning up a quasicrystal; W Faris, Localization estimates for off-diagonal disorder; W Faris, Order statistics and renormalization; L Pastur, Wave and particle propagation through one-dimensional and quasi-one-dimensional random media; A Nachbin and G Papenicolaou, Water waves in shallow channels of randomly varying depth; V Klyatskin, Approximations by delta-correlated random processes and diffusive approximation in stochastic problems; V Goland, V Klyatskin, and I Yaroshchuk, Some aspects of wave propagation theory in layer random media; W Kohler, G Papanicolaou, and B White, Reflection of waves by randomly layered media.
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Mathematics of Random Media: Summer Seminar in Applied Mathematics Lectures in Applied Mathematics, vol. 27
Editore:
American Mathematical Society, 1991
ISBN 10: 0821811339
ISBN 13: 9780821811337
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Broschiert. Condizione: Gut. 499 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann entsprechende Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.). Aufgrund des Alters und der häufigen Nutzung können Stabilität, Einband sowie Papierqualität beeinträchtigt sein. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 895. Codice articolo 2208616
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Mathematics of Random Media
Editore:
American Mathematical Society, US, 1991
ISBN 10: 0821811339
ISBN 13: 9780821811337
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Paperback. Condizione: New. In recent years, there has been remarkable growth in the mathematics of random media. The field has deep scientific and technological roots, as well as purely mathematical ones in the theory of stochastic processes. This collection of papers by leading researchers provides an overview of this rapidly developing field. The papers were presented at the 1989 AMS-SIAM Summer Seminar in Applied Mathematics, held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia. In addition to new results on stochastic differential equations and Markov processes, fields whose elegant mathematical techniques are of continuing value in application areas, the conference was organized around four themes: Systems of interacting particles are normally viewed in connection with the fundamental problems of statistical mechanics, but have also been used to model diverse phenomena such as computer architectures and the spread of biological populations.Powerful mathematical techniques have been developed for their analysis, and a number of important systems are now well understood. Random perturbations of dynamical systems have also been used extensively as models in physics, chemistry, biology, and engineering. Among the recent unifying mathematical developments is the theory of large deviations, which enables the accurate calculation of the probabilities of rare events. For these problems, approaches based on effective but formal perturbation techniques parallel rigorous mathematical approaches from probability theory and partial differential equations.The book includes representative papers from forefront research of both types. Effective medium theory, otherwise known as the mathematical theory of homogenization, consists of techniques for predicting the macroscopic properties of materials from an understanding of their microstructures. For example, this theory is fundamental in the science of composites, where it is used for theoretical determination of electrical and mechanical properties. Furthermore, the inverse problem is potentially of great technological importance in the design of composite materials which have been optimized for some specific use. Mathematical theories of the propagation of waves in random media have been used to understand phenomena as diverse as the twinkling of stars, the corruption of data in geophysical exploration, and the quantum mechanics of disordered solids. Especially effective methods now exist for waves in randomly stratified, one-dimensional media.A unifying theme is the mathematical phenomenon of localization, which occurs when a wave propagating into a random medium is attenuated exponentially with propagation distance, with the attenuation caused solely by the mechanism of random multiple scattering. Because of the wide applicability of this field of research, this book would appeal to mathematicians, scientists, and engineers in a wide variety of areas, including probabilistic methods, the theory of dis. Codice articolo LU-9780821811337
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Mathematics of Random Media Summer Seminar in Applied Mathematics
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Paperback. Condizione: Brand New. 499 pages. 10.00x7.00x1.00 inches. In Stock. Codice articolo __0821811339
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Mathematics of Random Media
Editore:
American Mathematical Society, US, 1991
ISBN 10: 0821811339
ISBN 13: 9780821811337
Nuovo
Paperback
Da: Rarewaves.com UK, London, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. In recent years, there has been remarkable growth in the mathematics of random media. The field has deep scientific and technological roots, as well as purely mathematical ones in the theory of stochastic processes. This collection of papers by leading researchers provides an overview of this rapidly developing field. The papers were presented at the 1989 AMS-SIAM Summer Seminar in Applied Mathematics, held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia. In addition to new results on stochastic differential equations and Markov processes, fields whose elegant mathematical techniques are of continuing value in application areas, the conference was organized around four themes: Systems of interacting particles are normally viewed in connection with the fundamental problems of statistical mechanics, but have also been used to model diverse phenomena such as computer architectures and the spread of biological populations.Powerful mathematical techniques have been developed for their analysis, and a number of important systems are now well understood. Random perturbations of dynamical systems have also been used extensively as models in physics, chemistry, biology, and engineering. Among the recent unifying mathematical developments is the theory of large deviations, which enables the accurate calculation of the probabilities of rare events. For these problems, approaches based on effective but formal perturbation techniques parallel rigorous mathematical approaches from probability theory and partial differential equations.The book includes representative papers from forefront research of both types. Effective medium theory, otherwise known as the mathematical theory of homogenization, consists of techniques for predicting the macroscopic properties of materials from an understanding of their microstructures. For example, this theory is fundamental in the science of composites, where it is used for theoretical determination of electrical and mechanical properties. Furthermore, the inverse problem is potentially of great technological importance in the design of composite materials which have been optimized for some specific use. Mathematical theories of the propagation of waves in random media have been used to understand phenomena as diverse as the twinkling of stars, the corruption of data in geophysical exploration, and the quantum mechanics of disordered solids. Especially effective methods now exist for waves in randomly stratified, one-dimensional media.A unifying theme is the mathematical phenomenon of localization, which occurs when a wave propagating into a random medium is attenuated exponentially with propagation distance, with the attenuation caused solely by the mechanism of random multiple scattering. Because of the wide applicability of this field of research, this book would appeal to mathematicians, scientists, and engineers in a wide variety of areas, including probabilistic methods, the theory of dis. Codice articolo LU-9780821811337
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Mathematics of Random Media (LECTURES IN APPLIED MATHEMATICS)
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Condizione: New. In English. Codice articolo ria9780821811337_new
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Mathematics of Random Media
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American Mathematical Society, 1991
ISBN 10: 0821811339
ISBN 13: 9780821811337
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Condizione: New. Features papers presented at the 1989 AMS-SIAM Summer Seminar in Applied Mathematics, held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia. This book is suitable for mathematicians, and engineers in a variety of areas, including probabilistic methods, the design of materials, and dynamical systems driven by noise. Series: Lectures in applied mathematics. Num Pages: 499 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 877. . 1991. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821811337
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Mathematics of Random Media
Editore:
American Mathematical Society, 1991
ISBN 10: 0821811339
ISBN 13: 9780821811337
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Condizione: New. Features papers presented at the 1989 AMS-SIAM Summer Seminar in Applied Mathematics, held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia. This book is suitable for mathematicians, and engineers in a variety of areas, including probabilistic methods, the design of materials, and dynamical systems driven by noise. Series: Lectures in applied mathematics. Num Pages: 499 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 877. . 1991. Paperback. . . . . Codice articolo V9780821811337
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