Absolute Continuity Results for Superprocesses with Some Applications

DOI10.2307/2001643zbMath0733.60062OpenAlexW4254505618MaRDI QIDQ3359506

Steven N. Evans, Edwin A. Perkins

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001643

zbMATH Keywords

super-Brownian motionabsolute continuityrandom measuressuperprocessesmeasure-valued branching processsuper-Lévy processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Random measures (60G57) Continuity and singularity of induced measures (60G30)

Related Items

The biodiversity of catalytic super-Brownian motion. ⋮ Conditioned super-Brownian motion ⋮ A phase transition for a stochastic PDE related to the contact process ⋮ Two representations of a conditioned superprocess ⋮ Measure-valued Markov branching processes conditioned on non-extinction ⋮ The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE ⋮ The packing measure of the support of super-Brownian motion ⋮ A phase diagram for a stochastic reaction diffusion system ⋮ An asymptotic theory for randomly forced discrete nonlinear heat equations ⋮ A phase transition for measure-valued SIR epidemic processes ⋮ Harmonic functions and exit boundary of superdiffusion. ⋮ Thick points of super-Brownian motion ⋮ On tightness of probability measures on Skorokhod spaces ⋮ Some dimension results for super-Brownian motion ⋮ The connected components of the closed support of super Brownian motion ⋮ Lifetime and compactness of range super-Brownian motion with a general branching mechanism ⋮ Smooth density field of catalytic super-Brownian motion ⋮ Instantaneous support propagation for \(\Lambda\)-Fleming-Viot processes

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