A super-Brownian motion with a single point catalyst

DOI10.1016/0304-4149(94)90110-4zbMath0796.60087OpenAlexW2002706535MaRDI QIDQ1315398

Klaus Fleischmann, Donald A. Dawson

Publication date: 20 September 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90110-4

zbMATH Keywords

reaction- diffusion problemmeasure-valued branching processoccupation density field

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

Related Items (25)

Invariant probability distributions for measure-valued diffusions. ⋮ Extinction properties of super-Brownian motions with additional spatially dependent mass production. ⋮ Optimal portfolio liquidation in target zone models and catalytic superprocesses ⋮ Fluctuations of the rightmost particle in the catalytic branching Brownian motion ⋮ Super-Brownian motions in higher dimensions with absolutely continuous measure states ⋮ A new approach to the single point catalytic super-Brownian motion ⋮ Complete Classification of Catalytic Branching Processes ⋮ Some limit theorems for a particle system of single point catalytic branching random walks ⋮ Local extinction of super-Brownian motion on Sierpiński gasket ⋮ Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises ⋮ Solving a nonlinear fractional SPDE with spatially inhomogeneous white noise ⋮ Moderate deviation for the single point catalytic super-Brownian motion ⋮ Fluctuation limits of the single point catalytic super-stable processes ⋮ Intermittency and stochastic pseudo-differential equation with spatially inhomogeneous white noise ⋮ Space-time regularity of catalytic super-Brownian motion ⋮ Branching Brownian motion with catalytic branching at the origin ⋮ A construction of catalytic super-Brownian motion via collision local time ⋮ Interacting diffusions in a random medium: comparison and longtime behavior. ⋮ Limiting distribution of particles near the frontier in the catalytic branching Brownian motion ⋮ Weak existence and uniqueness for affine stochastic Volterra equations with \(L^1\)-kernels ⋮ Supercritical branching Brownian motion with catalytic branching at the origin ⋮ Branching Brownian motion with spatially homogeneous and point-catalytic branching ⋮ Absolutely continuous states of exit measures for super-Brownian motions with branching restricted to a hyperplane ⋮ Long-time behavior and coexistence in a mutually catalytic branching model ⋮ The oscillation of the occupation time process of super-Brownian motion on Sierpiński gasket

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