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Random Evolutionary Systems - Asymptotic Properties and Large Deviations (Hardcover)
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Random Evolutionary Systems - Asymptotic Properties and Large Deviations (Hardcover)
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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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