Автор: Marek Kimmel; David E. Axelrod Название: Branching Processes in Biology ISBN: 1493915584 ISBN-13(EAN): 9781493915583 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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 Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Marek Kimmel; David E. Axelrod Название: Branching Processes in Biology ISBN: 1493938193 ISBN-13(EAN): 9781493938193 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: C.C. Heyde Название: Branching Processes ISBN: 0387979891 ISBN-13(EAN): 9780387979892 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Catherine A. Macken; Alan S. Perelson Название: Branching Processes Applied to Cell Surface Aggregation Phenomena ISBN: 3540156569 ISBN-13(EAN): 9783540156567 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: A. Liemant; K. Matthes; A. Wakolbinger Название: Equilibrium Distributions of Branching Processes ISBN: 9027727740 ISBN-13(EAN): 9789027727749 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Marek Kimmel; David E. Axelrod Название: Branching Processes in Biology ISBN: 1441929584 ISBN-13(EAN): 9781441929587 Издательство: Springer Рейтинг: Цена: 11313.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters, and two glossaries are included that provide background material in mathematics and in biology. The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians. The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology.
Автор: Krishna B. Athreya; Peter E. Ney Название: Branching Processes ISBN: 3642653731 ISBN-13(EAN): 9783642653735 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this book is to give a unified treatment of the limit theory of branching processes. There is a natural classification of branching processes according to their criticality condition, their time parameter, the single or multi-type particle cases, the Markovian or non-Markovian character of the pro- cess, etc.
Автор: Theodore Edward Harris Название: The Theory of Branching Processes ISBN: 3642518680 ISBN-13(EAN): 9783642518683 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Krishna B. Athreya; Peter Jagers Название: Classical and Modern Branching Processes ISBN: 1461273153 ISBN-13(EAN): 9781461273158 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Zenghu Li Название: Measure-Valued Branching Markov Processes ISBN: 3642266207 ISBN-13(EAN): 9783642266201 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Ibrahim Rahimov Название: Random Sums and Branching Stochastic Processes ISBN: 038794446X ISBN-13(EAN): 9780387944463 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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