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Measure-valued Branching Markov Processes - Zenghu Li
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Zenghu Li:
Measure-valued Branching Markov Processes - neues Buch

ISBN: 9783642150036

ID: 978364215003

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. Zenghu Li, Books, Science and Nature, Measure-valued Branching Markov Processes Books>Science and Nature, Springer-Verlag/Sci-Tech/Trade

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Measure-Valued Branching Markov Processes (Probability and Its Applications) - Zenghu Li
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Measure-Valued Branching Markov Processes (Probability and Its Applications) - gebunden oder broschiert

2010, ISBN: 3642150039

[SR: 6034807], Hardcover, [EAN: 9783642150036], Springer, Springer, Book, [PU: Springer], 2010-11-30, Springer, 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., 278385, Probability & Statistics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570878, Statistics & Probability, 570874, Applied Mathematics, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Measure-Valued Branching Markov Processes - Zenghu Li
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Measure-Valued Branching Markov Processes - neues Buch

30, ISBN: 9783642150036

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 243x167x30 mm, 350, [GW: 681g], offene Rechnung (Vorkasse vorbehalten), PayPal, Banküberweisung, Internationaler Versand

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Measure-Valued Branching Markov Processes
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Measure-Valued Branching Markov Processes - neues Buch

ISBN: 9783642150036

ID: 902e8b5278ce1eeedbf65d6f05ce840c

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. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Stochastik & Statistik, [PU: Springer, Berlin/Heidelberg/New York, NY]

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Measure-Valued Branching Markov Processes - Zenghu Li
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Zenghu Li:
Measure-Valued Branching Markov Processes - neues Buch

ISBN: 9783642150036

ID: 9783642150036

Mathematics; Probability Theory and Stochastic Processes 60J80; 60G57; 60J70; 60J85; 60J35; 60J40, Dawson-Watanabe superprocess, entrance law, generalized Ornstein-Uhlenbeck process, immigration superprocess, skew convolution semigroup Books, Springer Nature

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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 book simplifies the constructions and gives useful perspectives. Versandkosten:zzgl. Versandkosten.
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Measure-Valued Branching Markov Processes

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.

Detailangaben zum Buch - Measure-Valued Branching Markov Processes


EAN (ISBN-13): 9783642150036
ISBN (ISBN-10): 3642150039
Gebundene Ausgabe
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
350 Seiten
Gewicht: 0,681 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 02.04.2009 04:40:56
Buch zuletzt gefunden am 12.07.2018 10:07:26
ISBN/EAN: 9783642150036

ISBN - alternative Schreibweisen:
3-642-15003-9, 978-3-642-15003-6


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