<p>In these lectures, we give an account of certain recent developments of the theory of spatial branching processes. These developments lead to several fas cinating probabilistic objects, which combine spatial motion with a continuous branching phenomenon and are closely related to certain semilin
Spatial Branching In Random Environments and With Interaction
✍ Scribed by Janos Englander
- Publisher
- World Scientific Publishing Company
- Year
- 2015
- Tongue
- English
- Leaves
- 286
- Series
- Advanced Series on Statistical Science & Applied Probability
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
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.
Readership: Researchers and advanced graduate students in probability, statistics and mathematical biology.
✦ Subjects
Биологические дисциплины;Матметоды и моделирование в биологии;
📜 SIMILAR VOLUMES
This book introduces several remarkable new probabilistic objects that combine spatial motion with a continuous branching phenomenon and are closely related to certain semilinear partial differential equations (PDE). The Brownian snake approach is used to give a powerful representation of superproce
Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that
<p>Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning t