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Random Evolutions and Their Applications (Hardback) - Anatoly Svishchuk
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Anatoly Svishchuk:
Random Evolutions and Their Applications (Hardback) - gebonden uitgave, pocketboek

1997, ISBN: 0792345339

ID: 3119636734

[EAN: 9780792345336], Neubuch, [PU: Kluwer Academic Publishers, United States], Mathematics|Probability & Statistics, Mathematics|Topology, Science|Mathematical Physics, Language: English . Brand New Book ***** Print on Demand *****.The main purpose of this handbook is to summarize and to put in order the ideas, methods, results and literature on the theory of random evolutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications. In physical language, a random evolution ( RE ) is a model for a dynamical sys- tem whose state of evolution is subject to random variations. Such systems arise in all branches of science. For example, random Hamiltonian and Schrodinger equations with random potential in quantum mechanics, Maxwell s equation with a random refractive index in electrodynamics, transport equations associated with the trajec- tory of a particle whose speed and direction change at random, etc. There are the examples of a single abstract situation in which an evolving system changes its mode of evolution or law of motion because of random changes of the environment or in a medium . So, in mathematical language, a RE is a solution of stochastic operator integral equations in a Banach space. The operator coefficients of such equations depend on random parameters. Of course, in such generality , our equation includes any homogeneous linear evolving system. Particular examples of such equations were studied in physical applications many years ago. A general mathematical theory of such equations has been developed since 1969, the Theory of Random Evolutions.

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Random Evolutions and Their Applications - Swishchuk, Anatoly
(*)
Swishchuk, Anatoly:
Random Evolutions and Their Applications - gebonden uitgave, pocketboek

ISBN: 9780792345336

[ED: Hardcover], [PU: Springer Netherlands], The main purpose of this handbook is to summarize and to put in order the ideas, methods, results and literature on the theory of random evolutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications. In physical language, a random evolution ( RE ) is a model for a dynamical sys tem whose state of evolution is subject to random variations. Such systems arise in all branches of science. For example, random Hamiltonian and Schrodinger equations with random potential in quantum mechanics, Maxwell's equation with a random refractive index in electrodynamics, transport equations associated with the trajec tory of a particle whose speed and direction change at random, etc. There are the examples of a single abstract situation in which an evolving system changes its "mode of evolution" or "law of motion" because of random changes of the "environment" or in a "medium". So, in mathematical language, a RE is a solution of stochastic operator integral equations in a Banach space. The operator coefficients of such equations depend on random parameters. Of course, in such generality , our equation includes any homogeneous linear evolving system. Particular examples of such equations were studied in physical applications many years ago. A general mathematical theory of such equations has been developed since 1969, the Theory of Random Evolutions. xvi, 183 S. XVI, 200 p. 240 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Random Evolutions and Their Applications - Anatoly Swishchuk
(*)
Anatoly Swishchuk:
Random Evolutions and Their Applications - gebonden uitgave, pocketboek

ISBN: 9780792345336

ID: 9780792345336

The main purpose of this handbook is to summarize and to put in order the ideas, methods, results and literature on the theory of random evolutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications. In physical language, a random evolution ( RE ) is a model for a dynamical sys­ tem whose state of evolution is subject to random variations. Such systems arise in all branches of science. For example, random Hamiltonian and Schrodinger equations with random potential in quantum mechanics, Maxwell's equation with a random refractive index in electrodynamics, transport equations associated with the trajec­ tory of a particle whose speed and direction change at random, etc. There are the examples of a single abstract situation in which an evolving system changes its "mode of evolution" or "law of motion" because of random changes of the "environment" or in a "medium". So, in mathematical language, a RE is a solution of stochastic operator integral equations in a Banach space. The operator coefficients of such equations depend on random parameters. Of course, in such generality , our equation includes any homogeneous linear evolving system. Particular examples of such equations were studied in physical applications many years ago. A general mathematical theory of such equations has been developed since 1969, the Theory of Random Evolutions. Books > Mathematics Hard cover, Springer Shop

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Random Evolutions and Their Applications - Anatoly Swishchuk
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Anatoly Swishchuk:
Random Evolutions and Their Applications - nieuw boek

ISBN: 9780792345336

ID: 978079234533

This is the first handbook on random evolutions and their applications. Its main purpose is to summarize and order the ideas, methods, results and literature on the theory of random evolutions since 1969 and their applications to the evolutionary stochastic systems in random media, and also to point out some new trends. Among the subjects that are treated are the problems for different models of random evolutions, multiplicative operator functionals, evolutionary stochastic systems in random media, averaging, merging, diffusion approximation, normal deviations, rates of convergence for random evolutions and their applications. New developments, such as the analogue of Dynkin''s formula, boundary value problems, stability and control of random evolutions, stochastic evolutionary equations, driven space-time white noise and random evolutions in financial mathematics are also considered. Audience: This handbook will be of use to theoretical and practical researchers whose interests include probability theory, functional analysis, operator theory, optimal control or statistics, and who wish to know what kind of information is available in the field of random evolutions and their applications. Anatoly Swishchuk, Books, Science and Nature, Random Evolutions and Their Applications Books>Science and Nature, Springer Netherlands

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Random Evolutions and Their Applications - Swishchuk, Anatoly
(*)
Swishchuk, Anatoly:
Random Evolutions and Their Applications - gebonden uitgave, pocketboek

1997, ISBN: 0792345339

ID: A3052455

1997 Gebundene Ausgabe Mathematik, Variationsrechnung, Wahrscheinlichkeitsrechnung und Statistik, Optimierung, Stochastik, operator theory; Optimal Control; Probability theory; Functional Analysis; Statistics, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]

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Bijzonderheden over het boek
Random Evolutions and Their Applications

This is the first handbook on random evolutions and their applications. Its main purpose is to summarize and order the ideas, methods, results and literature on the theory of random evolutions since 1969 and their applications to the evolutionary stochastic systems in random media, and also to point out some new trends. Among the subjects that are treated are the problems for different models of random evolutions, multiplicative operator functionals, evolutionary stochastic systems in random media, averaging, merging, diffusion approximation, normal deviations, rates of convergence for random evolutions and their applications. New developments, such as the analogue of Dynkin's formula, boundary value problems, stability and control of random evolutions, stochastic evolutionary equations, driven space-time white noise and random evolutions in financial mathematics are also considered. Audience: This handbook will be of use to theoretical and practical researchers whose interests include probability theory, functional analysis, operator theory, optimal control or statistics, and who wish to know what kind of information is available in the field of random evolutions and their applications.

Gedetalleerde informatie over het boek. - Random Evolutions and Their Applications


EAN (ISBN-13): 9780792345336
ISBN (ISBN-10): 0792345339
Gebonden uitgave
pocket book
Verschijningsjaar: 1997
Uitgever: Springer-Verlag GmbH
220 Bladzijden
Gewicht: 0,497 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2008-01-17T07:47:04+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2019-09-11T18:01:26+02:00 (Amsterdam)
ISBN/EAN: 9780792345336

ISBN - alternatieve schrijfwijzen:
0-7923-4533-9, 978-0-7923-4533-6


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