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Branching processes : variation, growth, and extinction of populations
Authors: --- --- ---
ISBN: 9780521832205 0521832209 Year: 2005 Volume: 5 Publisher: Cambridge : [Laxenburg, Austria] : Cambridge University Press ; IIASA,

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Branching processes and its estimation theory
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ISBN: 0470208570 Year: 1989 Publisher: New York : J. Wiley,

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Branching processes
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ISBN: 3540057900 0387057900 3642653731 3642653715 9783540057901 Year: 1972 Volume: Bd. 196 Publisher: Berlin Springer

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Random sums and branching stochastic processes
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ISBN: 038794446X 1461242169 Year: 1995 Volume: 96 Publisher: New York : Springer-Verlag,

Approximation of population processes
Authors: ---
ISBN: 089871169X Year: 1981 Volume: 36 Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics,


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Lévy matters I : recent progress in theory and applications : foundations, trees and numerical issues in finance
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ISBN: 9783642140075 9783642140068 Year: 2010 Publisher: Heidelberg : Springer,

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This is the first volume of a subseries of the Lecture Notes in Mathematics which will appear randomly over the next years. Each volume will describe some important topic in the theory or applications of Lévy processes and pay tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world. The three expository articles of this first volume have been chosen to reflect the breadth of the area of Lévy processes. The first article by Ken-iti Sato characterizes extensions of the class of selfdecomposable distributions on Rd. The second article by Thomas Duquesne discusses Hausdorff and packing measures of stable trees. The third article by Oleg Reichmann and Christoph Schwab presents numerical solutions to Kolmogoroff equations, which arise for instance in financial engineering, when Lévy or additive processes model the dynamics of the risky assets.

Branching Processes in Biology
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ISBN: 038795340X 9786610187805 1280187808 0387216391 Year: 2002 Volume: 19 Publisher: New York, NY : Springer New York : Imprint: Springer,

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This book provides a theoretical background of branching process 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.

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