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Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

Author: Dmitri Koroliouk

Publisher: John Wiley & Sons

Published: 2023-08-29

Total Pages: 276

ISBN-13: 1786309114

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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.

Book Synopsis Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms by : Dmitri Koroliouk

Download or read book Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2023-08-29 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Random Evolutionary Systems

Author: Dmitri Koroliouk

Publisher: John Wiley & Sons

Published: 2021-08-02

Total Pages: 345

ISBN-13: 1119851246

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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.

Book Synopsis Random Evolutionary Systems by : Dmitri Koroliouk

Download or read book Random Evolutionary Systems written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2021-08-02 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes

Author: Yaroslav Chabanyuk

Publisher: John Wiley & Sons

Published: 2020-10-02

Total Pages: 240

ISBN-13: 111977974X

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Book Synopsis Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes by : Yaroslav Chabanyuk

Download or read book Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes written by Yaroslav Chabanyuk and published by John Wiley & Sons. This book was released on 2020-10-02 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Evolutionary Systems

Author: Dmitri Koroliouk

Publisher: Wiley-ISTE

Published: 2021-08-31

Total Pages: 0

ISBN-13: 9781786307521

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Book Synopsis Random Evolutionary Systems by : Dmitri Koroliouk

Download or read book Random Evolutionary Systems written by Dmitri Koroliouk and published by Wiley-ISTE. This book was released on 2021-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Analysis of Evolution, Information, and Complexity

Author: Wolfgang Arendt

Publisher: John Wiley & Sons

Published: 2009-07-10

Total Pages: 502

ISBN-13: 3527628037

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Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.

Book Synopsis Mathematical Analysis of Evolution, Information, and Complexity by : Wolfgang Arendt

Download or read book Mathematical Analysis of Evolution, Information, and Complexity written by Wolfgang Arendt and published by John Wiley & Sons. This book was released on 2009-07-10 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.

Safety Science Abstracts Journal

Author:

Publisher:

Published: 1981

Total Pages: 742

ISBN-13:

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Book Synopsis Safety Science Abstracts Journal by :

Download or read book Safety Science Abstracts Journal written by and published by . This book was released on 1981 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes and Random Vibrations

Author: Júlíus Sólnes

Publisher: John Wiley & Sons

Published: 1997-07-07

Total Pages: 458

ISBN-13:

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Beginning with the basics of probability and an overview of stochastic process, this book goes on to explore their engineering applications: random vibration and system analysis. It addresses extreme conditions such as distribution of large vibration peaks, probabilities of exceeding certain limits, and fatigue. Includes numerous tested examples: earthquake risk analysis, distribution of extreme wind speeds, analysis of structural reliability, earthquake response of tall multi-storey structure and wind loading of tall towers.

Book Synopsis Stochastic Processes and Random Vibrations by : Júlíus Sólnes

Download or read book Stochastic Processes and Random Vibrations written by Júlíus Sólnes and published by John Wiley & Sons. This book was released on 1997-07-07 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the basics of probability and an overview of stochastic process, this book goes on to explore their engineering applications: random vibration and system analysis. It addresses extreme conditions such as distribution of large vibration peaks, probabilities of exceeding certain limits, and fatigue. Includes numerous tested examples: earthquake risk analysis, distribution of extreme wind speeds, analysis of structural reliability, earthquake response of tall multi-storey structure and wind loading of tall towers.

An Evolutionary Theory of Economic Change

Author: Richard R. Nelson

Publisher: Harvard University Press

Published: 1985-10-15

Total Pages: 456

ISBN-13: 9780674041431

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This book contains the most sustained and serious attack on mainstream, neoclassical economics in more than forty years. Nelson and Winter focus their critique on the basic question of how firms and industries change overtime. They marshal significant objections to the fundamental neoclassical assumptions of profit maximization and market equilibrium, which they find ineffective in the analysis of technological innovation and the dynamics of competition among firms. To replace these assumptions, they borrow from biology the concept of natural selection to construct a precise and detailed evolutionary theory of business behavior. They grant that films are motivated by profit and engage in search for ways of improving profits, but they do not consider them to be profit maximizing. Likewise, they emphasize the tendency for the more profitable firms to drive the less profitable ones out of business, but they do not focus their analysis on hypothetical states of industry equilibrium. The results of their new paradigm and analytical framework are impressive. Not only have they been able to develop more coherent and powerful models of competitive firm dynamics under conditions of growth and technological change, but their approach is compatible with findings in psychology and other social sciences. Finally, their work has important implications for welfare economics and for government policy toward industry.

Book Synopsis An Evolutionary Theory of Economic Change by : Richard R. Nelson

Download or read book An Evolutionary Theory of Economic Change written by Richard R. Nelson and published by Harvard University Press. This book was released on 1985-10-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most sustained and serious attack on mainstream, neoclassical economics in more than forty years. Nelson and Winter focus their critique on the basic question of how firms and industries change overtime. They marshal significant objections to the fundamental neoclassical assumptions of profit maximization and market equilibrium, which they find ineffective in the analysis of technological innovation and the dynamics of competition among firms. To replace these assumptions, they borrow from biology the concept of natural selection to construct a precise and detailed evolutionary theory of business behavior. They grant that films are motivated by profit and engage in search for ways of improving profits, but they do not consider them to be profit maximizing. Likewise, they emphasize the tendency for the more profitable firms to drive the less profitable ones out of business, but they do not focus their analysis on hypothetical states of industry equilibrium. The results of their new paradigm and analytical framework are impressive. Not only have they been able to develop more coherent and powerful models of competitive firm dynamics under conditions of growth and technological change, but their approach is compatible with findings in psychology and other social sciences. Finally, their work has important implications for welfare economics and for government policy toward industry.

Mostly Harmless Econometrics

Author: Joshua D. Angrist

Publisher: Princeton University Press

Published: 2009-01-04

Total Pages: 392

ISBN-13: 0691120358

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In addition to econometric essentials, this book covers important new extensions as well as how to get standard errors right. The authors explain why fancier econometric techniques are typically unnecessary and even dangerous.

Book Synopsis Mostly Harmless Econometrics by : Joshua D. Angrist

Download or read book Mostly Harmless Econometrics written by Joshua D. Angrist and published by Princeton University Press. This book was released on 2009-01-04 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to econometric essentials, this book covers important new extensions as well as how to get standard errors right. The authors explain why fancier econometric techniques are typically unnecessary and even dangerous.

Electrical & Electronics Abstracts

Author:

Publisher:

Published: 1997

Total Pages: 2092

ISBN-13:

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Book Synopsis Electrical & Electronics Abstracts by :

Download or read book Electrical & Electronics Abstracts written by and published by . This book was released on 1997 with total page 2092 pages. Available in PDF, EPUB and Kindle. Book excerpt: