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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 Bore...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Li, Zenghu (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Probability and Its Applications
Temas:
Acceso en línea:Texto Completo
Tabla de 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.