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Random Evolutionary Systems: Asymptotic Properties and Large Deviations

Random Evolutionary Systems: Asymptotic Properties and Large Deviations

Hardcover

General Mathematics

ISBN10: 1786307529
ISBN13: 9781786307521
Publisher: Wiley-Iste
Published: Aug 31 2021
Pages: 320
Weight: 1.35
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.

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General Mathematics