Measure-Valued Branching Markov Processes [recurso electrónico] / by Zenghu Li.

Por: Li, Zenghu [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoSeries Probability and Its ApplicationsEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XI, 350 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642150043Tema(s): Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic ProcessesFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 519.2 Clasificación LoC:QA273.A1-274.9QA274-274.9Recursos en línea: Libro electrónico Texto

Contenidos:

Preface -- 1. Random Measures on Metric Spaces -- 2. Measure-valued Branching Processes -- 3. One-dimensional Branching Processes -- 4. Branching Particle Systems -- 5. Basic Regularities of Superprocesses -- 6. Constructions by Transformations -- 7. Martingale Problems of Superprocesses -- 8. Entrance Laws and Excursion Laws -- 9. Structures of Independent Immigration -- 10. State-dependent Immigration Structures -- 11. Generalized Ornstein-Uhlenbeck Processes -- 12. Small Branching Fluctuation Limits -- 13. Appendix: Markov Processes -- Bibliography -- Index.

En: Springer eBooksResumen: Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups. The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.

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Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA273 .A1-274.9 (Browse shelf(Abre debajo))	1	No para préstamo		374919-2001

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Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups. The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.