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 Bore...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Li, Zenghu (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Σειρά:Probability and Its Applications,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Measure-Valued Branching Markov Processes  |h [electronic resource] /  |c by Zenghu Li. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2011. 
300 |a XI, 350 p.  |b online resource. 
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490 1 |a Probability and Its Applications,  |x 1431-7028 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Probabilities. 
650 1 4 |a Mathematics. 
650 2 4 |a Probability Theory and Stochastic Processes. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783642150036 
830 0 |a Probability and Its Applications,  |x 1431-7028 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-15004-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)