Discrete Time Branching Processes in Random Environment

Götz Kersting, Vladimir Vatutin

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English

ISTE Ltd and John Wiley & Sons Inc
17 November 2017

Mathematical modelling; Stochastics

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.

By: Götz Kersting, Vladimir Vatutin
Imprint: ISTE Ltd and John Wiley & Sons Inc
Country of Publication: United Kingdom
Dimensions: Height: 236mm, Width: 164mm, Spine: 22mm
Weight: 590g
ISBN: 9781786302526
ISBN 10: 1786302527
Pages: 320
Publication Date: 17 November 2017
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Götz Kersting, Goethe University, Germany. Vladimir Vatutin, Steklov Mathematical Institute, Russia.