Description

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.

Random Evolutionary Systems: Asymptotic Properties and Large Deviations

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Hardback by Dmitri Koroliouk , Igor Samoilenko

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Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of... Read more

    Publisher: ISTE Ltd and John Wiley & Sons Inc
    Publication Date: 19/11/2021
    ISBN13: 9781786307521, 978-1786307521
    ISBN10: 1786307529

    Number of Pages: 320

    Non Fiction , Mathematics & Science , Education

    Description

    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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