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Pathwise construction of additive \(H\)-transforms of super-Brownian motion

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Publication:1343614
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DOI10.1007/BF01268988zbMath0813.60046MaRDI QIDQ1343614

Ludger Overbeck

Publication date: 30 May 1995

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

Martin boundarysuper-Brownian motionadditive \(H\)-transformMartin topology


Mathematics Subject Classification ID

Brownian motion (60J65) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Boundary theory for Markov processes (60J50)


Related Items (4)

Conditioning super-Brownian motion on its boundary statistics, and fragmentation ⋮ The occupation measure of super-Brownian motion conditioned to nonextinction ⋮ Change of measure in the lookdown particle system ⋮ Harmonic functions and exit boundary of superdiffusion.



Cites Work

  • Brownian excursions, trees and measure-valued branching processes
  • The behavior of superprocesses near extinction
  • Sufficient statistics and extreme points
  • Conditioned super-Brownian motion
  • A class of path-valued Markov processes and its applications to superprocesses
  • Polar sets and multiple points for super-Brownian motion


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