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.
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.
Cuprins
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.
Despre autor
Götz Kersting, Goethe University, Germany.Vladimir Vatutin, Steklov Mathematical Institute, Russia.
Limba Engleză ● Format EPUB ● Pagini 320 ● ISBN 9781119473558 ● Mărime fișier 19.3 MB ● Editura John Wiley & Sons ● Publicat 2017 ● Ediție 1 ● Descărcabil 24 luni ● Valută EUR ● ID 5532060 ● Protecție împotriva copiilor Adobe DRM
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