Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms PDF full book. Access full book title Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms by Dmitri Koroliouk. Download full books in PDF and EPUB format.
Author: Dmitri Koroliouk Publisher: John Wiley & Sons ISBN: 1786309114 Category : Mathematics Languages : en Pages : 276
Book Description
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.
Author: Dmitri Koroliouk Publisher: John Wiley & Sons ISBN: 1786309114 Category : Mathematics Languages : en Pages : 276
Book Description
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.
Author: Jianhai Bao Publisher: Springer ISBN: 3319469797 Category : Mathematics Languages : en Pages : 159
Book Description
This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.
Author: M. Csörgö Publisher: American Mathematical Soc. ISBN: 0821835610 Category : Mathematics Languages : en Pages : 546
Book Description
Honoring over forty years of Miklos Csorgo's work in probability and statistics, this title shows the state of the research. This book covers such topics as: path properties of stochastic processes, weak convergence of random size sums, almost sure stability of weighted maxima, and procedures for detecting changes in statistical models.
Author: David Y. Gao Publisher: CRC Press ISBN: 1420011731 Category : Mathematics Languages : en Pages : 270
Book Description
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m
Author: David Holcman Publisher: Springer ISBN: 9783319768946 Category : Mathematics Languages : en Pages : 444
Book Description
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.
Author: Dmitri Koroliouk
Author: Dmitri Koroliouk
Author: Yaroslav Chabanyuk
Author: Jianhai Bao
Author: Anatoliĭ Vladimirovich Skorokhod
Author: M. Csörgö
Author: David Y. Gao
Author: Tianpei Huang
Author: Rui Liu
Author: David Holcman
Author: F. Verhulst