Random Evolutionary Systems

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Random Evolutionary Systems

Author : Dmitri Koroliouk
Publisher : John Wiley & Sons
ISBN 13 : 1119851246
Total Pages : 345 pages
Book Rating : 4.1/5 (198 download)

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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 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.

Random Evolutionary Systems

Author : Dmitri Koroliouk
Publisher : Wiley-ISTE
ISBN 13 : 9781786307521
Total Pages : 0 pages
Book Rating : 4.3/5 (75 download)

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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.

Lectures on Random Evolution

Author : Mark A. Pinsky
Publisher : World Scientific
ISBN 13 : 9789810205591
Total Pages : 158 pages
Book Rating : 4.2/5 (55 download)

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Book Synopsis Lectures on Random Evolution by : Mark A. Pinsky

Download or read book Lectures on Random Evolution written by Mark A. Pinsky and published by World Scientific. This book was released on 1991 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random evolution denotes a class of stochastic processes which evolve according to a rule which varies in time according to jumps. This is in contrast to diffusion processes, which assume that the rule changes continuously with time. Random evolutions provide a very flexible language, having the advantage that they permit direct numerical simulation-which is not possible for a diffusion process. Furthermore, they allow connections with hyperbolic partial differential equations and the kinetic theory of gases, which is impossible within the domain of diffusion proceses. They also posses great geometric invariance, allowing formulation on an arbitrary Riemannian manifold. In the field of stochastic stability, random evolutions furnish some easily computable models in which to study the Lyapunov exponent and rotation numbers of oscillators under the influence of noise. This monograph presents the various aspects of random evolution in an accessible and interesting format which will appeal to a large scientific audience.

Biology's First Law

Author : Daniel W. McShea
Publisher : University of Chicago Press
ISBN 13 : 0226562271
Total Pages : 186 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Biology's First Law by : Daniel W. McShea

Download or read book Biology's First Law written by Daniel W. McShea and published by University of Chicago Press. This book was released on 2010-07-15 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life on earth is characterized by three striking phenomena that demand explanation: adaptation—the marvelous fit between organism and environment; diversity—the great variety of organisms; and complexity—the enormous intricacy of their internal structure. Natural selection explains adaptation. But what explains diversity and complexity? Daniel W. McShea and Robert N. Brandon argue that there exists in evolution a spontaneous tendency toward increased diversity and complexity, one that acts whether natural selection is present or not. They call this tendency a biological law—the Zero-Force Evolutionary Law, or ZFEL. This law unifies the principles and data of biology under a single framework and invites a reconceptualization of the field of the same sort that Newton’s First Law brought to physics. Biology’s First Law shows how the ZFEL can be applied to the study of diversity and complexity and examines its wider implications for biology. Intended for evolutionary biologists, paleontologists, and other scientists studying complex systems, and written in a concise and engaging format that speaks to students and interdisciplinary practitioners alike, this book will also find an appreciative audience in the philosophy of science.

Random Evolutions and their Applications

Author : Anatoly Swishchuk
Publisher : Springer Science & Business Media
ISBN 13 : 9401595984
Total Pages : 310 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Random Evolutions and their Applications by : Anatoly Swishchuk

Download or read book Random Evolutions and their Applications written by Anatoly Swishchuk and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the new trends in random evolutions and their various applications to stochastic evolutionary sytems (SES). Such new developments as the analogue of Dynkin's formulae, boundary value problems, stochastic stability and optimal control of random evolutions, stochastic evolutionary equations driven by martingale measures are considered. The book also contains such new trends in applied probability as stochastic models of financial and insurance mathematics in an incomplete market. In the famous classical financial mathematics Black-Scholes model of a (B,S) market for securities prices, which is used for the description of the evolution of bonds and stocks prices and also for their derivatives, such as options, futures, forward contracts, etc., it is supposed that the dynamic of bonds and stocks prices are set by a linear differential and linear stochastic differential equations, respectively, with interest rate, appreciation rate and volatility such that they are predictable processes. Also, in the Arrow-Debreu economy, the securities prices which support a Radner dynamic equilibrium are a combination of an Ito process and a random point process, with the all coefficients and jumps being predictable processes.

Random Evolutions and Their Applications

Author : Anatoly Swishchuk
Publisher : Springer Science & Business Media
ISBN 13 : 9401157545
Total Pages : 212 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Random Evolutions and Their Applications by : Anatoly Swishchuk

Download or read book Random Evolutions and Their Applications written by Anatoly Swishchuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this handbook is to summarize and to put in order the ideas, methods, results and literature on the theory of random evolutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications. In physical language, a random evolution ( RE ) is a model for a dynamical sys tem whose state of evolution is subject to random variations. Such systems arise in all branches of science. For example, random Hamiltonian and Schrodinger equations with random potential in quantum mechanics, Maxwell's equation with a random refractive index in electrodynamics, transport equations associated with the trajec tory of a particle whose speed and direction change at random, etc. There are the examples of a single abstract situation in which an evolving system changes its "mode of evolution" or "law of motion" because of random changes of the "environment" or in a "medium". So, in mathematical language, a RE is a solution of stochastic operator integral equations in a Banach space. The operator coefficients of such equations depend on random parameters. Of course, in such generality , our equation includes any homogeneous linear evolving system. Particular examples of such equations were studied in physical applications many years ago. A general mathematical theory of such equations has been developed since 1969, the Theory of Random Evolutions.

Evolution of Systems in Random Media

Author : Vladimir S. Korolyuk
Publisher : CRC Press
ISBN 13 : 9780849394058
Total Pages : 358 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Evolution of Systems in Random Media by : Vladimir S. Korolyuk

Download or read book Evolution of Systems in Random Media written by Vladimir S. Korolyuk and published by CRC Press. This book was released on 1995-09-11 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolution of Systems in Random Media is an innovative, application-oriented text that explores stochastic models of evolutionary stochastic systems in random media. Specially designed for researchers and practitioners who do not have a background in random evolutions, the book allows non-experts to explore the potential information and applications that random evolutions can provide.

Creative Evolutionary Systems

Author : Peter Bentley
Publisher : Morgan Kaufmann
ISBN 13 : 1558606734
Total Pages : 618 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Creative Evolutionary Systems by : Peter Bentley

Download or read book Creative Evolutionary Systems written by Peter Bentley and published by Morgan Kaufmann. This book was released on 2002 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for computer scientists and students, and computer literate artists, designers and specialists in evolutionary computation, this text brings together the most advanced work in the use of evolutionary computation for creative results.

Chance in Evolution

Author : Grant Ramsey
Publisher : University of Chicago Press
ISBN 13 : 022640191X
Total Pages : 368 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis Chance in Evolution by : Grant Ramsey

Download or read book Chance in Evolution written by Grant Ramsey and published by University of Chicago Press. This book was released on 2016-10-25 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating volume explores the effects of chance on evolution, covering diverse perspectives from scientists, philosophers, and historians. The evolution of species, from single-celled organisms to multicellular animals and plants, is the result of a long and highly chancy history. But how profoundly has chance shaped life on earth? And what, precisely, do we mean by chance? Bringing together biologists, philosophers of science, and historians of science, Chance in Evolution is the first book to untangle the far-reaching effects of chance, contingency, and randomness on the evolution of life. The book begins by placing chance in historical context, starting with the ancients and moving through Darwin to contemporary biology. It documents the shifts in our understanding of chance as Darwin’s theory of evolution developed into the modern synthesis, and how the acceptance of chance in Darwinian theory affected theological resistance to it. Other chapters discuss how chance relates to the concepts of genetic drift, mutation, and parallel evolution—as well as recent work in paleobiology and the experimental evolution of microbes. By engaging in collaboration across biology, history, philosophy, and theology, this book offers a comprehensive overview both of the history of chance in evolution and of our current understanding of the impact of chance on life.

Intelligent and Evolutionary Systems

Author : Mitsuo Gen
Publisher : Springer Science & Business Media
ISBN 13 : 3540959777
Total Pages : 218 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Intelligent and Evolutionary Systems by : Mitsuo Gen

Download or read book Intelligent and Evolutionary Systems written by Mitsuo Gen and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers fourteen select papers presented at the recent Asia-Pacific Symposia on Intelligent and Evolutionary Systems. They illustrate the breadth of research in the field with applications ranging from business to medicine to network optimization.

Randomness in Evolution

Author : John Tyler Bonner
Publisher : Princeton University Press
ISBN 13 : 1400846420
Total Pages : 149 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Randomness in Evolution by : John Tyler Bonner

Download or read book Randomness in Evolution written by John Tyler Bonner and published by Princeton University Press. This book was released on 2013-03-21 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The important role that randomness plays in evolutionary change John Tyler Bonner, one of our most distinguished and insightful biologists, here challenges a central tenet of evolutionary biology. In this concise, elegantly written book, he makes the bold and provocative claim that some biological diversity may be explained by something other than natural selection. With his customary wit and accessible style, Bonner makes an argument for the underappreciated role that randomness—or chance—plays in evolution. Due to the tremendous and enduring influence of Darwin's natural selection, the importance of randomness has been to some extent overshadowed. Bonner shows how the effects of randomness differ for organisms of different sizes, and how the smaller an organism is, the more likely it is that morphological differences will be random and selection may not be involved to any degree. He traces the increase in size and complexity of organisms over geological time, and looks at the varying significance of randomness at different size levels, from microorganisms to large mammals. Bonner also discusses how sexual cycles vary depending on size and complexity, and how the trend away from randomness in higher forms has even been reversed in some social organisms. Certain to provoke lively discussion, Randomness in Evolution is a book that may fundamentally change our understanding of evolution and the history of life.

Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

Author : Dmitri Koroliouk
Publisher : John Wiley & Sons
ISBN 13 : 1786309114
Total Pages : 276 pages
Book Rating : 4.7/5 (863 download)

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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.

Evolutionary Systems Biology

Author : Orkun S. Soyer
Publisher : Springer Science & Business Media
ISBN 13 : 1461435676
Total Pages : 459 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Evolutionary Systems Biology by : Orkun S. Soyer

Download or read book Evolutionary Systems Biology written by Orkun S. Soyer and published by Springer Science & Business Media. This book was released on 2012-07-23 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to introduce the reader to the emerging field of Evolutionary Systems Biology, which approaches classical systems biology questions within an evolutionary framework. An evolutionary approach might allow understanding the significance of observed diversity, uncover “evolutionary design principles” and extend predictions made in model organisms to others. In addition, evolutionary systems biology can generate new insights into the adaptive landscape by combining molecular systems biology models and evolutionary simulations. This insight can enable the development of more detailed mechanistic evolutionary hypotheses.

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

Author : Yaroslav Chabanyuk
Publisher : John Wiley & Sons
ISBN 13 : 111977974X
Total Pages : 240 pages
Book Rating : 4.1/5 (197 download)

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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:

Mathematical Models of Some Evolutionary Systems Under the Influence of Stochastic Factors

Author : Roberto David Rodríguez Said
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (97 download)

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Book Synopsis Mathematical Models of Some Evolutionary Systems Under the Influence of Stochastic Factors by : Roberto David Rodríguez Said

Download or read book Mathematical Models of Some Evolutionary Systems Under the Influence of Stochastic Factors written by Roberto David Rodríguez Said and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: As it is known, the problem of availability of information is normally addressed using a bu er. Most of the times it is required that the e ectiveness or reliability of the system is calculated to optimize the amount of stored information according to the customers random requests and to the amount of incoming information from the supply line. In this thesis, we consider the case of single bu er connected to any number of customers with bursty demands. We model the variation of the level of stored information in the bu er as an evolution in a random media. We assume that the customers can be modeled as semi-Markov stochastic processes and we use the phase merging algorithm to reduce the evolution process in a semi-Markov to an approximated evolutions in a Markov media. Then we obtain a general solution to the stationary probability density of the level of the bu er and general results for the stationary e ciency of the system.

Evolutionary Systems

Author : G. Vijver
Publisher : Springer Science & Business Media
ISBN 13 : 9401715106
Total Pages : 442 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Evolutionary Systems by : G. Vijver

Download or read book Evolutionary Systems written by G. Vijver and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three well known revolutions of the past centuries - the Copernican, the Darwinian and the Freudian - each in their own way had a deflating and mechanizing effect on the position of humans in nature. They opened up a richness of disillusion: earth acquired a more modest place in the universe, the human body and mind became products of a long material evolutionary history, and human reason, instead of being the central, immaterial, locus of understanding, was admitted into the theater of discourse only as a materialized and frequently out-of-control actor. Is there something objectionable to this picture? Formulated as such, probably not. Why should we resist the idea that we are in certain ways, and to some degree, physically, biologically or psychically determined? Why refuse to acknowledge the fact that we are materially situated in an ever evolving world? Why deny that the ways of inscription (traces of past events and processes) are co-determinative of further "evolutionary pathways"? Why minimize the idea that each intervention, of each natural being, is temporally and materially situated, and has, as such, the inevitable consequence of changing the world? The point is, however, that there are many, more or less radically different, ways to consider the "mechanization" of man and nature. There are, in particular, many ways to get the message of "material and evolutionary determination", as well as many levels at which this determination can be thought of as relevant or irrelevant.

Population Genetics, Molecular Evolution, and the Neutral Theory

Author : Motoo Kimura
Publisher : University of Chicago Press
ISBN 13 : 9780226435633
Total Pages : 736 pages
Book Rating : 4.4/5 (356 download)

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Book Synopsis Population Genetics, Molecular Evolution, and the Neutral Theory by : Motoo Kimura

Download or read book Population Genetics, Molecular Evolution, and the Neutral Theory written by Motoo Kimura and published by University of Chicago Press. This book was released on 1994 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of this century's leading evolutionary biologists, Motoo Kimura revolutionized the field with his random drift theory of molecular evolution—the neutral theory—and his groundbreaking theoretical work in population genetics. This volume collects 57 of Kimura's most important papers and covers forty years of his diverse and original contributions to our understanding of how genetic variation affects evolutionary change. Kimura's neutral theory, first presented in 1968, challenged the notion that natural selection was the sole directive force in evolution. Arguing that mutations and random drift account for variations at the level of DNA and amino acids, Kimura advanced a theory of evolutionary change that was strongly challenged at first and that eventually earned the respect and interest of evolutionary biologists throughout the world. This volume includes the seminal papers on the neutral theory, as well as many others that cover such topics as population structure, variable selection intensity, the genetics of quantitative characters, inbreeding systems, and reversibility of changes by random drift. Background essays by Naoyuki Takahata examine Kimura's work in relation to its effects and recent developments in each area.