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Author | : Miguel González Velasco |
Publisher | : John Wiley & Sons |
Total Pages | : 240 |
Release | : 2018-03-13 |
Genre | : Mathematics |
ISBN | : 1786302535 |
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The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.
Author | : Inés M. del Puerto |
Publisher | : Springer |
Total Pages | : 331 |
Release | : 2016-09-06 |
Genre | : Mathematics |
ISBN | : 3319316419 |
Download Branching Processes and Their Applications Book in PDF, ePub and Kindle
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). The papers address a broad range of theoretical and practical aspects of branching process theory. Further, they amply demonstrate that the theoretical research in this area remains vital and topical, as well as the relevance of branching concepts in the development of theoretical approaches to solving new problems in applied fields such as Epidemiology, Biology, Genetics, and, of course, Population Dynamics. The topics covered can broadly be classified into the following areas: 1. Coalescent Branching Processes 2. Branching Random Walks 3. Population Growth Models in Varying and Random Environments 4. Size/Density/Resource-Dependent Branching Models 5. Age-Dependent Branching Models 6. Special Branching Models 7. Applications in Epidemiology 8. Applications in Biology and Genetics Offering a valuable reference guide to contemporary branching process theory, the book also explores many open problems, paving the way for future research.
Author | : Miguel González Velasco |
Publisher | : Elsevier |
Total Pages | : 250 |
Release | : 2017-11-01 |
Genre | : Mathematics |
ISBN | : 0081023448 |
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Controlled Branching Processes provides a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications. Presents a comprehensive analysis of the evolution of discrete branching populations with random control of the number of productive individuals Develops models of populations subject to simultaneous multiple immigrations and emigration and shows how these can be used to produce a model with any desired equilibrium distribution Studies discrete series of events that can arise in the process of monitoring one population and how the statistics of these events can be characterized Presents methods for numerical simulation of dynamic populations, giving examples of algorithms that can be used to simulate most of the processes considered in the book, as well as computational intensive methods for estimating the main characteristics of these processes
Author | : Inés María del Puerto García |
Publisher | : |
Total Pages | : 181 |
Release | : 2005 |
Genre | : |
ISBN | : 9788487042171 |
Download Contribucions to the Theory of the Controlled Branching Processes Book in PDF, ePub and Kindle
Author | : Robert Murray Lucas |
Publisher | : |
Total Pages | : 184 |
Release | : 1981 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Asymptotic Moments and Distributions of the First Exit Time of Controlled Branching Processes Book in PDF, ePub and Kindle
Author | : Asmussen |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1461581559 |
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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.
Author | : Krishna B. Athreya |
Publisher | : Springer Science & Business Media |
Total Pages | : 301 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642653715 |
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The purpose of this book is to give a unified treatment of the limit theory of branching processes. Since the publication of the important book of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and thus has very little overlap with that of Harris. Only enough material is repeated to make the treatment essentially self-contained. For example, certain foundational questions on the construction of processes, to which we have nothing new to add, are not developed. 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. We have tried to avoid the rather uneconomical and un enlightening approach of treating these categories independently, and by a series of similar but increasingly complicated techniques. The basic Galton-Watson process is developed in great detail in Chapters I and II.
Author | : Michael Altmann |
Publisher | : |
Total Pages | : 184 |
Release | : 1988 |
Genre | : |
ISBN | : |
Download Controlled Branching Process Models for Linearly Structured Populations Book in PDF, ePub and Kindle
Author | : Miguel González |
Publisher | : Springer Science & Business Media |
Total Pages | : 304 |
Release | : 2010-03-02 |
Genre | : Mathematics |
ISBN | : 3642111564 |
Download Workshop on Branching Processes and Their Applications Book in PDF, ePub and Kindle
One of the charms of mathematics is the contrast between its generality and its applicability to concrete, even everyday, problems. Branching processes are typical in this. Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; in other words, what Plato might have called the pure idea behind demography, population biology, cell kinetics, molecular replication, or nuclear ?ssion, had he known these scienti?c ?elds. Even in the performance of algorithms for sorting and classi?cation there is an inkling of the same pattern. In special cases, general properties of the abstract ideal then interact with the physical or biological or whatever properties at hand. But the population, or bran- ing, pattern is strong; it tends to dominate, and here lies the reason for the extreme usefulness of branching processes in diverse applications. Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.
Author | : C.C. Heyde |
Publisher | : Springer Science & Business Media |
Total Pages | : 189 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461225582 |
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This volume presents the edited proceedings of the First World Congress on Branching Processes. The contributions present new research and surveys of the current research activity in this field. As a result, all those undertaking research in the subject will find this a timely and high-quality volume to have on their shelves.