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Branching Processes in Random Environment

Autor Gotz Kersting, Vladimir Vatutin
en Limba Engleză Hardback – 30 sep 2017
Branching Processes in Random Environment provides a unique and new approach to study branching processes in random environments. Branching processes in random environment are an important direction of the general theory of branching processes which, in turn, is a well-developed part of probability theory having various applications in physics and biology. There are several books devoted to the theory of branching processes; however, the theory of branching processes in random environments is not examined in-depth in those books. During the last two decades essential progress was achieved in this field in particular, due primarily to the authors' efforts.


  • Features a unique and new approach to study branching processes in random environments
  • Compares properties of branching processes in random environments with properties of ordinary random walks
  • Enables finding the probability of survival of the critical and subcritical branching processes in random environments, as well as Yaglom-type limit theorems for the mentioned classes of processes
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Specificații

ISBN-13: 9781785482427
ISBN-10: 1785482424
Pagini: 250
Dimensiuni: 152 x 229 mm
Editura: ELSEVIER SCIENCE

Public țintă

Researchers in probability theory, PhD students, Researchers in Physics, Chemistry and Population Biology

Cuprins

1. Branching processes in varying environment
2. Branching processes in random environment (BPRE)
3. Supercritical BPRE
4. Critical BPRE
5. Weakly subcritical BPRE
6. Strongly subcritical BPRE
7. Intermediate subcritical BPRE
8. The non-Cramer case
9. Multivariate BPRE
10. Applications in biology