Measure-Valued Branching Markov Processes

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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Bibliographic Details
Main Author: Li, Zenghu (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Series:Probability and Its Applications,
Subjects:
Mathematics.
Probabilities.
Probability Theory and Stochastic Processes.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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.

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