Measure-Valued Branching Markov Processes
-25 %

Measure-Valued Branching Markov Processes

 Previously published in hardcover
Besorgungstitel | Lieferzeit:3-5 Tage I

Unser bisheriger Preis:ORGPRICE: 64,15 €

Jetzt 47,96 €*

Alle Preise inkl. MwSt. | zzgl. Versand
ISBN-13:
9783642266201
Einband:
Previously published in hardcover
Erscheinungsdatum:
02.01.2013
Seiten:
364
Autor:
Zenghu Li
Gewicht:
550 g
Format:
235x155x19 mm
Sprache:
Englisch
Beschreibung:

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.
For the first time a book in this research area
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.
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.