Spatial Branching In Random Environments And With Interaction

by Janos Englander

Overview

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.

Product Details

ISBN-13:	9789814569835
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	01/30/2015
Series:	Advanced Series On Statistical Science And Applied Probability , #20
Pages:	288
Product dimensions:	6.10(w) x 9.10(h) x 0.80(d)

Table of Contents

Preliminaries; The Spine Construction and the Strong Law of Large Numbers; Examples of the Strong Law; The Strong Law for a Type of Self-Interaction; The Center of Mass; Branching Brownian Motion in a Poissonian Field of Traps; Branching Brownian Motion in a Field of Mild Obstacles; Critical Branching Random Walk in Random Environment.