Discrete Time Branching Processes in Random Environment

Götz Kersting, Vladimir Vatutin (Autoren)

Buch | Hardcover

320 Seiten

2017
ISTE Ltd and John Wiley & Sons Inc (Verlag)
978-1-78630-252-6 (ISBN)

Infos

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 the conditions of reproduction may vary in a random fashion from one generation to the next.

This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.

Autor

Götz Kersting is Professor at the Institute of Mathematics of Goethe University in Frankfurt am Main, Germany. Vladimir Vatutin is a leading researcher at Steklov Mathematical Institute in Moscow, Russia.

Inhalt

1. Branching Processes in Varying Environment.
2. Branching Processes in Random Environment.
3. Large Deviations for BPREs.
4. Properties of Random Walks.
5. Critical BPREs: the Annealed Approach.
6. Critical BPREs: the Quenched Approach.
7. Weakly Subcritical BPREs.
8. Intermediate Subcritical BPREs.
9. Strongly Subcritical BPREs.
10. Multi-type BPREs. 

Produkt-Details

• Erscheinungsdatum: 21.10.2017
• Verlagsort: London
• Sprache: englisch
• Maße: 164 x 236 mm
• Gewicht: 590 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• ISBN-10: 1-78630-252-7 / 1786302527
• ISBN-13: 978-1-78630-252-6 / 9781786302526
• Zustand: Neuware