Random evolutionary systems asymptotic properties and large deviations

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 R...

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Bibliographic Details
Other Authors: Koroli︠u︡k, V. S. 1925- author (author), Samoilenko, Igor, author
Format: eBook
Language:Inglés
Published: London, England ; Hoboken, New Jersey : ISTE [2021]
Edition:1st edition
Series:Mathematics and statistics series (ISTE)
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009724215206719
Description
Summary: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
Physical Description:1 online resource : 1 illustration
Bibliography:Includes bibliographical references and index.
ISBN:9781119851240
9781119851257
9781119851233