Spatial Branching in Random Environments and with Interaction

Nonfiction, Science & Nature, Mathematics, Applied, Statistics
Cover of the book Spatial Branching in Random Environments and with Interaction by János Engländer, World Scientific Publishing Company
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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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

Readership: Researchers and advanced graduate students in probability, statistics and mathematical biology.
Key Features:

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