Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

Dmitri Koroliouk author Igor Samoilenko author

Format:Hardback

Publisher:ISTE Ltd and John Wiley & Sons Inc

Published:24th Aug '23

Currently unavailable, and unfortunately no date known when it will be back

Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms cover

This book illustrates a number of asymptotic and analytic approaches applied for the study of random evolutionary systems, and considers typical problems for specific examples. In this case, constructive mathematical models of natural processes are used, which more realistically describe the trajectories of diffusion-type processes, rather than those of the Wiener process.

We examine models where particles have some free distance between two consecutive collisions. At the same time, we investigate two cases: the Markov evolutionary system, where the time during which the particle moves towards some direction is distributed exponentially with intensity parameter λ; and the semi-Markov evolutionary system, with arbitrary distribution of the switching process. Thus, the models investigated here describe the motion of particles with a finite speed and the proposed random evolutionary process with characteristics of a natural physical process: free run and finite propagation speed. In the proposed models, the number of possible directions of evolution can be finite or infinite.

ISBN: 9781786309112

Dimensions: unknown

Weight: 662g

272 pages