Discrete Time Branching Processes in Random Environment

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A01=Gotz Kersting
A01=Vladimir Vatutin
approach
Author_Gotz Kersting
Author_Vladimir Vatutin
bpres
Category=PBWH
Category=PBWL
demographic stochasticity
deviations
environment
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
individuals
intermediate
particles
population
processes
properties
random environment
random walks
reproduction
stochastic
subcritical

Product details

  • ISBN 9781786302526
  • Weight: 590g
  • Dimensions: 164 x 236mm
  • Publication Date: 10 Oct 2017
  • Publisher: ISTE Ltd and John Wiley & Sons Inc
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

Götz Kersting is Professor at the Institute of Mathematics of Goethe University in Frankfurt am Main, Germany.

Vladimir Vatutin is a leading researcher at Steklov Mathematical Institute in Moscow, Russia.

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