It takes the average reader 3 hours and 33 minutes to read Random Evolutions and Their Applications by Anatoly Swishchuk
Assuming a reading speed of 250 words per minute. Learn more
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.
Random Evolutions and Their Applications by Anatoly Swishchuk is 212 pages long, and a total of 53,424 words.
This makes it 72% the length of the average book. It also has 65% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 51 minutes to read Random Evolutions and Their Applications aloud.
Random Evolutions and Their Applications is suitable for students ages 12 and up.
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