Branching Processes in Random Environment

  • ID: 4226586
  • Book
  • 250 Pages
  • Elsevier Science and Technology
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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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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
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Kersting, Gotz
Götz Kersting, Professor at the institute of mathematics, Frankfurt am main, Germany

Born in 150 in Varel, Germany

PhD (1975) and habilitation (1979) in Mathematics at Göttingen University

Since 1981 professor of mathematics at the Goethe University, Frankfurt am Main
Vatutin, Vladimir
Vladimir Vatutin

Born in 1952 in Belgorodskaya region, USSR

Graduated from the Moscow State University in 1974

PhD (1977) and Docor of Math and Phys. Sciences (1987), steklov mathematical institute, Moscow

Since 1977, in steklov mathematical institute.

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