"Several new important probabilistic objects which combine random spatial motion with a continuous branching phenomenon have been studied extensively in recent years. The purpose of this book is to give a detailed and self-contained account of some of these developments." "This …
The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, multyple and general processes. Branching processes are a well-developed and powerful set of tools in the field of applied probability.
This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology…
This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology…
This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology…
This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology…
1. Preliminaries: diffusion, spatial branching and Poissonian obstacles. 1.1. Notation, terminology. 1.2. A bit of measure theory. 1.3. Gronwall's inequality. 1.4. Markov processes. 1.5. Martingales. 1.6. Brownian motion. 1.7. Diffusion. 1.8. Ito-integral and SDE's. 1.9. Marting…
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.
This unique volume discusses some recent developments in the theory of spatial branching processes and superprocesses, with special emphasis on spines, laws of large lumbers, interactions and random media. Although this book is mainly written for mathematicians, the models discu…