Branching Processes in Random Environment

Kersting Gotz · Vladimir Vatutin

2017年10月 · Elsevier

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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

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 probabili...

著者について

Götz Kersting, Professor at the institute of mathematics, Frankfurt am main, GermanyBorn in 150 in Varel, GermanyPhD (1975) and habilitation (1979) in Mathematics at Göttingen UniversitySince 1981 professor of mathematics at the Goethe University, Frankfurt am Main

Vladimir VatutinBorn in 1952 in Belgorodskaya region, USSRGraduated from the Moscow State University in 1974PhD (1977) and Docor of Math and Phys. Sciences (1987), steklov mathematical institute, MoscowSince 1977, in steklov mathematical institute.