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Reduced Branching Processes in Random Environment

  • Vatutin Vladimir
  • Dyakonova Elena
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

Let Zn be the number of particles at time n in a critical branching process in random environment and Zm,n be the number of particles in this process at time m ≤ n which have non-empty offspring at time n. We prove limit theorems for the process {Z[nt],n, t ∈ (0, 1]} conditioned on the event {Zn > 0}. Quenched and annealed approaches are considered.*

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Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • Vatutin Vladimir
    • 1
  • Dyakonova Elena
    • 1
  1. 1.Steklov Mathematicla InstituteGSP-1 MoscowRussia

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