The carrying dimension of a stochastic measure diffusion
From MaRDI portal
Publication:1259377
DOI10.1214/aop/1176994991zbMath0411.60084OpenAlexW1990495474MaRDI QIDQ1259377
Donald A. Dawson, Kenneth J. Hochberg
Publication date: 1979
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176994991
Diffusion processes (60J60) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
Rescaled voter models converge to super-Brownian motion. ⋮ Absolute continuity of catalytic measure-valued branching processes. ⋮ Diffusion with stochastic resetting of interacting particles emerging from a model of population genetics ⋮ Super-Brownian motions in higher dimensions with absolutely continuous measure states ⋮ Stochastic partial differential equations for some measure-valued diffusions ⋮ Self-similar random measures. I: Notion, carrying Hausdorff dimension, and hyperbolic distribution ⋮ Hyperfinite methods applied to the critical branching diffusion ⋮ One dimensional stochastic partial differential equations and the branching measure diffusion ⋮ A criterion of convergence of measure‐valued processes: application to measure branching processes ⋮ Spatial epidemics: Critical behavior in one dimension ⋮ Comparing Fleming-Viot and Dawson-Watanabe processes ⋮ Ergodic theory and a local occupation time for measure-valued critical branching brownian motion ⋮ On states of exit measures for superdiffusions ⋮ On mean-field super-Brownian motions ⋮ Measure-valued continuous curves and processes in total variation norm ⋮ Hausdorff dimension of visible sets for well-behaved continuum percolation in the hyperbolic plane ⋮ A brief and personal history of stochastic partial differential equations ⋮ Exact packing measure of the range of \(\psi\)-super Brownian motions ⋮ The multitype branching random walk, I ⋮ On states of total weighted occupation times of a class of infinitely divisible superprocesses on a bounded domain ⋮ Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3 ⋮ Super-Brownian motion: Path properties and hitting probabilities ⋮ Hölder continuity of the solutions to a class of SPDE's arising from branching particle systems in a random environment ⋮ Joint Hölder continuity of local time for a class of interacting branching measure-valued diffusions ⋮ A Space-Time Property of a Class of Measure-Valued Branching Diffusions ⋮ The connected components of the closed support of super Brownian motion ⋮ A weighted occupation time for a class of measure-valued branching processes ⋮ Smooth density field of catalytic super-Brownian motion ⋮ Long-time behavior and coexistence in a mutually catalytic branching model ⋮ On the differential equation satisfied by the random measure density of a jump-type Fleming–Viot process ⋮ Some properties of the multitype measure branching process ⋮ Some absolute continuities of superdiffusions and super-stable processes
This page was built for publication: The carrying dimension of a stochastic measure diffusion
