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Seller: Biblios, Frankfurt am main, HESSE, Germany
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Language: English
Published by Springer International Publishing AG, Cham, 2016
ISBN 10: 3319303260 ISBN 13: 9783319303260
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Paperback. Condition: new. Paperback. This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.Etienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
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Language: English
Published by Springer Nature Switzerland AG, Cham, 2021
ISBN 10: 3030890023 ISBN 13: 9783030890025
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Paperback. Condition: new. Paperback. This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs). It begins by describing the classes of equations which are studied later in the book, together with a list of motivating examples of SPDEs which are used in physics, population dynamics, neurophysiology, finance and signal processing. The central part of the book studies SPDEs as infinite-dimensional SDEs, based on the variational approach to PDEs. This extends both the classical Ito formulation and the martingale problem approach due to Stroock and Varadhan. The final chapter considers the solution of a space-time white noise-driven SPDE as a real-valued function of time and (one-dimensional) space. The results of J. Walsh's St Flour notes on the existence, uniqueness and Hoelder regularity of the solution are presented. In addition, conditions are given under which the solution remains nonnegative, and the Malliavin calculus is applied. Lastly, reflected SPDEs and their connection with super Brownian motion are considered.At a time when new sophisticated branches of the subject are being developed, this book will be a welcome reference on classical SPDEs for newcomers to the theory. This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs). Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Language: English
Published by Springer, 2016
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Seller: Kloof Booksellers & Scientia Verlag, Amsterdam, Netherlands
Condition: very good. Berlin & New York : Springer-Verlag, 1991. Paperback. Vi, 259 p. : ill. ; 25 cm. English and French. Includes bibliographical references. (Lecture notes in mathematics, 1464). Condition : very good copy. ISBN 9783540538417. Keywords : , Probabilities.
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Language: English
Published by Oxford University Press, 2003
ISBN 10: 0198525931 ISBN 13: 9780198525936
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