Random Evolutions and Their Applications is popular PDF and ePub book, written by Anatoly Swishchuk in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Random Evolutions and Their Applications can be Read Online from any device for your convenience.
Random Evolutions and Their Applications Book PDF Summary
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.
Detail Book of Random Evolutions and Their Applications PDF
- Author : Anatoly Swishchuk
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401157544
- Genre : Mathematics
- Total Page : 212 pages
- Language : English
- PDF File Size : 21,6 Mb
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