Random Evolutionary Systems

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Release : 2021-08-02
Genre : Mathematics
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Book Rating : 246/5 ( reviews)

Random Evolutionary Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Evolutionary Systems write by Dmitri Koroliouk. This book was released on 2021-08-02. Random Evolutionary Systems available in PDF, EPUB and Kindle. 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 Evolutions and their Applications

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Release : 2013-03-14
Genre : Mathematics
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Book Rating : 984/5 ( reviews)

Random Evolutions and their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Evolutions and their Applications write by Anatoly Swishchuk. This book was released on 2013-03-14. Random Evolutions and their Applications available in PDF, EPUB and Kindle. 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.

Randomness in Evolution

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Release : 2013-03-24
Genre : Science
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Book Rating : 014/5 ( reviews)

Randomness in Evolution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Randomness in Evolution write by John Tyler Bonner. This book was released on 2013-03-24. Randomness in Evolution available in PDF, EPUB and Kindle. John Tyler Bonner here challenges a central tenet of evolutionary biology.

Evolution

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Release : 2011
Genre : Juvenile Nonfiction
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Book Rating : 933/5 ( reviews)

Evolution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolution write by James Alan Shapiro. This book was released on 2011. Evolution available in PDF, EPUB and Kindle. This book proposes an important new paradigm for understanding biological evolution. Shapiro demonstrates why traditional views of evolution are inadequate to explain the latest evidence, and presents an alternative. His information- and systems-based approach integrates advances in symbiogenesis, epigenetics, and saltationism, and points toward an emerging synthesis of physical, information, and biological sciences.

Biology's First Law

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Release : 2010-07-15
Genre : Science
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Book Rating : 271/5 ( reviews)

Biology's First Law - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Biology's First Law write by Daniel W. McShea. This book was released on 2010-07-15. Biology's First Law available in PDF, EPUB and Kindle. 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.