Spatial Branching in Random Environments and with Interaction
Nonfiction, Science & Nature, Mathematics, Applied, Statistics
| Author: | János Engländer | ISBN: | 9789814569859 |
| Publisher: | World Scientific Publishing Company | Publication: | November 20, 2014 |
| Imprint: | WSPC | Language: | English |
| Author: | János Engländer |
| ISBN: | 9789814569859 |
| Publisher: | World Scientific Publishing Company |
| Publication: | November 20, 2014 |
| Imprint: | WSPC |
| Language: | English |
This unique volume discusses some recent developments in the theory of spatial branching processes and superprocesses, with special emphasis on spines, Laws of Large Numbers, interactions and random media.
Although this book is mainly written for mathematicians, the models discussed are relevant to certain models in population biology, and are thus hopefully interesting to the applied mathematician/biologist as well.
The necessary background material in probability and analysis is provided in a comprehensive introductory chapter. Historical notes and several exercises are provided to complement each chapter.
Contents:
- Preliminaries: Diffusion, Spatial Branching and Poissonian Obstacles
- The Spine Construction and the SLLN for Branching Diffusions
- Examples of the Strong Law
- The Strong Law for a Type of Self-Interaction; The Center of Mass
- Branching in Random Environment: Trapping of the First/Last Particle
- Branching in Random Environment: Mild Obstacles
- Critical Branching Random Walk in a Random Environment
Readership: Researchers and advanced graduate students in probability, statistics and mathematical biology.
Key Features:
- Several results are discussed in a monograph for the first time
- More modern treatment of the problems, more general results
- New analytic tools introduced
This unique volume discusses some recent developments in the theory of spatial branching processes and superprocesses, with special emphasis on spines, Laws of Large Numbers, interactions and random media.
Although this book is mainly written for mathematicians, the models discussed are relevant to certain models in population biology, and are thus hopefully interesting to the applied mathematician/biologist as well.
The necessary background material in probability and analysis is provided in a comprehensive introductory chapter. Historical notes and several exercises are provided to complement each chapter.
Contents:
- Preliminaries: Diffusion, Spatial Branching and Poissonian Obstacles
- The Spine Construction and the SLLN for Branching Diffusions
- Examples of the Strong Law
- The Strong Law for a Type of Self-Interaction; The Center of Mass
- Branching in Random Environment: Trapping of the First/Last Particle
- Branching in Random Environment: Mild Obstacles
- Critical Branching Random Walk in a Random Environment
Readership: Researchers and advanced graduate students in probability, statistics and mathematical biology.
Key Features:
- Several results are discussed in a monograph for the first time
- More modern treatment of the problems, more general results
- New analytic tools introduced
