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Książka Random Evolutions and Their Applications Anatoly Swishchuk

Random Evolutions and Their Applications

Autor: Anatoly Swishchuk
Język: Angielski
Oprawa: Miękka
Wydawca: Springer Netherlands
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 11-15 dni
241.03 zł
The main purpose of this handbook is to summarize and to put in order the ideas, methods, results an...

Informacje o książce

Autor
Anatoly Swishchuk
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2013
strony
200
EAN
9789401064279
ISBN
940106427X
Enbook ID
05323451
Wydawca
Springer Netherlands
Waga
359
Wymiary
160 x 240 x 12

Pełny opis

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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