Conditioning super-Brownian motion on its boundary statistics, and fragmentation

DOI10.1214/12-AOP778zbMath1296.60224arXiv1205.2137OpenAlexW3102123148MaRDI QIDQ378821

Thomas S. Salisbury, A. Deniz Sezer

Publication date: 12 November 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2137

zbMATH Keywords

diffusionMartin boundaryfragmentationmeasure valued processesPoisson random measurebranching backbone systemconditioning super-Brownian motionextreme X-harmonic functionsX-harmonic functions

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (3)

Spines, skeletons and the strong law of large numbers for superdiffusions ⋮ Change of measure in the lookdown particle system ⋮ Moment densities of super Brownian motion, and a Harnack estimate for a class of \(X\)-harmonic functions

Cites Work

• On extreme \(X\)-harmonic functions
• Conditioned super-Brownian motion
• Pathwise construction of additive \(H\)-transforms of super-Brownian motion
• On the conditioned exit measures of super Brownian motion
• A note on X-harmonic functions
• Measure-valued Markov branching processes conditioned on non-extinction
• Two representations of a conditioned superprocess
• Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation
• A decomposition of the (1 + β)-superprocess conditioned on survival
• Random Fragmentation and Coagulation Processes
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