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Branching Processes and Neutral Evolution, Ziad Taib


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Автор: Ziad Taib
Название:  Branching Processes and Neutral Evolution
ISBN: 9783540555292
Издательство: Springer
Классификация: ISBN-10: 3540555293
Обложка/Формат: Paperback
Страницы: 112
Вес: 0.23 кг.
Дата издания: 08.07.1992
Серия: Lecture Notes in Biomathematics
Язык: English
Размер: 254 x 178 x 7
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии


Branching Processes and Their Applications

Автор: del Puerto
Название: Branching Processes and Their Applications
ISBN: 3319316397 ISBN-13(EAN): 9783319316390
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This volume gathers papers originally presented at the 3rd Workshop on Branching Processes and their Applications (WBPA15), which was held from 7 to 10 April 2015 in Badajoz, Spain (http://branching.unex.es/wbpa15/index.htm).

Branching Processes in Biology

Автор: Marek Kimmel; David E. Axelrod
Название: Branching Processes in Biology
ISBN: 1493938193 ISBN-13(EAN): 9781493938193
Издательство: Springer
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Описание:

Motivating Examples and Other Preliminaries.- Biological Background.- The Galton-Watson Process.- The Age-Dependent Process: Markov Case.- The Bellman-Harris Process.- Multitype Processes.- Branching Processes with Infinitely Many Types.- Genealogies of Branching Processes and their Applications.- References.

Classical and Modern Branching Processes

Автор: Krishna B. Athreya; Peter Jagers
Название: Classical and Modern Branching Processes
ISBN: 1461273153 ISBN-13(EAN): 9781461273158
Издательство: Springer
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Цена: 13974.00 р.
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Branching Processes in Biology

Автор: Marek Kimmel; David E. Axelrod
Название: Branching Processes in Biology
ISBN: 1493915584 ISBN-13(EAN): 9781493915583
Издательство: Springer
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Цена: 9083.00 р.
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Описание:

Motivating Examples and Other Preliminaries.- Biological Background.- The Galton-Watson Process.- The Age-Dependent Process: Markov Case.- The Bellman-Harris Process.- Multitype Processes.- Branching Processes with Infinitely Many Types.- Genealogies of Branching Processes and their Applications.- References.

Random Sums and Branching Stochastic Processes

Автор: Ibrahim Rahimov
Название: Random Sums and Branching Stochastic Processes
ISBN: 038794446X ISBN-13(EAN): 9780387944463
Издательство: Springer
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Описание: The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes.

Branching Processes

Автор: Asmussen; Hering
Название: Branching Processes
ISBN: 0817631224 ISBN-13(EAN): 9780817631222
Издательство: Springer
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Описание: Branching processes form one of the classical fields of applied probability and are still an active area of research. The field has by now grown so large and diverse that a complete and unified treat- ment is hardly possible anymore, let alone in one volume. So, our aim here has been to single out some of the more recent developments and to present them with sufficient background material to obtain a largely self-contained treatment intended to supplement previous mo- nographs rather than to overlap them. The body of the text is divided into four parts, each of its own flavor. Part A is a short introduction, stressing examples and applications. In Part B we give a self-contained and up-to-date pre- sentation of the classical limit theory of simple branching processes, viz. the Gal ton-Watson ( Bienayme-G-W) process and i ts continuous time analogue. Part C deals with the limit theory of Il!arkov branching processes with a general set of types under conditions tailored to (multigroup) branching diffusions on bounded domains, a setting which also covers the ordinary multitype case. Whereas the point of view in Parts A and B is quite pedagogical, the aim of Part C is to treat a large subfield to the highest degree of generality and completeness possi"ble. Thus the exposition there is at times quite technical.

Equilibrium Distributions of Branching Processes

Автор: A. Liemant; K. Matthes; A. Wakolbinger
Название: Equilibrium Distributions of Branching Processes
ISBN: 9027727740 ISBN-13(EAN): 9789027727749
Издательство: Springer
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Цена: 13275.00 р.
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The Theory of Branching Processes

Автор: Theodore Edward Harris
Название: The Theory of Branching Processes
ISBN: 3642518680 ISBN-13(EAN): 9783642518683
Издательство: Springer
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Цена: 12577.00 р.
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Описание: It was about ninety years ago that GALTON and WATSON, in treating the problem of the extinction of family names, showed how probability theory could be applied to study the effects of chance on the development of families or populations.

Measure-Valued Branching Markov Processes

Автор: Zenghu Li
Название: Measure-Valued Branching Markov Processes
ISBN: 3642266207 ISBN-13(EAN): 9783642266201
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

A compact and rigorous treatment of measure-valued branching processes and immigration processes is given in the book at the level readable for graduate students. For the convenience of references, special attention has been paid to the generality of the framework. To develop a reasonably rich theory, the basic regularities of the models are certainly necessary.

In the first part of the book, the author not only constructs the transition semigroups of superprocesses with general spatial motions and branching mechanisms, but also proves the existence of their Borel right realizations. Based on the general existence and regularity results, he uses transformations to derive the existence and regularity of several different forms of the superprocesses, including those in spaces of tempered measures, time-inhomogeneous superprocesses, multitype models and age-structured models. This unified treatment of the models simplifies their constructions and gives useful perspectives for their properties. The first part of the book contains two chapters discussing respectively one-dimensional branching processes and limit theorems of branching particle systems, which give necessary interpretations and intuitions of the superprocesses. Martingale problems of superprocesses are discussed under Feller type assumptions.

In the second and the third parts of the book, the authors gives systematic treatments of immigration superprocesses and generalized Ornstein-Uhlenbeck processes based on skew convolution semigroups. The connection of those two classes of processes is established by certain fluctuation limit theorems. A brief account is also given to state-dependent immigration involving a class of stochastic equations. Those materials are not available in any other books in the subject.

Some chapters of the book lean on the general theory of Markov processes. A summary of that is given in the Appendix for the convenience of the reader. In the last section of each chapter, comments on the history and recent developments are given. Those guide the reader to the frontiers of the ongoing research.

Branching Processes

Автор: C.C. Heyde
Название: Branching Processes
ISBN: 0387979891 ISBN-13(EAN): 9780387979892
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This volume contains the edited proceedings of the First World Congress on Branching Processes. The contributions present new research and surveys of current research activity in this field.

Branching Processes Applied to Cell Surface Aggregation Phenomena

Автор: Catherine A. Macken; Alan S. Perelson
Название: Branching Processes Applied to Cell Surface Aggregation Phenomena
ISBN: 3540156569 ISBN-13(EAN): 9783540156567
Издательство: Springer
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Описание: Aggregation processes are studied within a number of different fields--c- loid chemistry, atmospheric physics, astrophysics, polymer science, and biology, to name only a few. Aggregation pro ces ses involve monomer units (e. g., biological cells, liquid or colloidal droplets, latex beads, molecules, or even stars) that join together to form polymers or aggregates. A quantitative theory of aggre- tion was first formulated in 1916 by Smoluchowski who proposed that the time e- lution of the aggregate size distribution is governed by the infinite system of differential equations: (1) K . . c. c. - c k = 1, 2, . . . k 1. J 1. J L i]j=k j=l where c is the concentration of k-mers, and aggregates are assumed to form by ir- k reversible condensation reactions i-mer ] j-mer -+ (i+j)-mer]. When the kernel K . . can be represented by A + B(i+j) + Cij, with A, B, and C constant; and the in- 1. J itial condition is chosen to correspond to a monodisperse solution (i. e., c (0) = 1 0, k > 1), then the Smoluchowski equation can be co' a constant; and ck(O) solved exactly (Trubnikov, 1971; Drake, 1972; Ernst, Hendriks, and Ziff, 1982; Dongen and Ernst, 1983; Spouge, 1983; Ziff, 1984). For arbitrary K, the solution ij is not known and in some ca ses may not even exist.

Workshop on Branching Processes and Their Applications

Автор: Miguel Gonz?lez; In?s M. Puerto; Rodrigo Mart?nez;
Название: Workshop on Branching Processes and Their Applications
ISBN: 3642111548 ISBN-13(EAN): 9783642111549
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.


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