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Multiplicative Martingales for Spatial Branching Processes

  • J. Neveu
Part of the Progress in Probability and Statistics book series (PRPR, volume 15)

Abstract

Out of simplicity, we restrict ourselves to consider the dyadic brownian branching process (Nt, t ∈ R+) on the real line. By definition of this process, its particles perform independent brownian motions untill they split into exactly two particles at independent and mean one exponential times; then Nt denotes the point process formed on R by the particles alive at time t.

Keywords

Point Process Infinitesimal Generator Death Time Positive Random Variable Independent Brownian Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1988

Authors and Affiliations

  • J. Neveu

There are no affiliations available

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