Multiplicative Martingales for Spatial Branching Processes

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


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.


Point Process Infinitesimal Generator Death Time Positive Random Variable Independent Brownian Motion 
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© Birkhäuser Boston 1988

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  • J. Neveu

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