Strong clumping of critical space-time branching models in subcritical dimensions

DOI10.1016/0304-4149(88)90084-1zbMath0678.60040OpenAlexW1996077479MaRDI QIDQ1124205

Klaus Fleischmann, Donald A. Dawson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0304-4149(88)90084-1

zbMATH Keywords

branching particlesstable mass transport

Mathematics Subject Classification ID

Random fields (60G60) Nonlinear parabolic equations (35K55) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (17)

Strong clumping of super-Brownian motion in a stable catalytic medium ⋮ Measure-branching renewal processes ⋮ Pathwise convergence of a rescaled super-Brownian catalyst reactant process ⋮ Sample path large deviations for super-Brownian motion ⋮ Exact asymptotics in a mean field model with random potential ⋮ Multiple scale analysis of clusters in spatial branching models ⋮ Longtime behavior of a branching process controlled by branching catalysts ⋮ Critical behavior of some measure-valued processes ⋮ Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles ⋮ Critical branching in a highly fluctuating random medium ⋮ A zero-one law of almost sure local extinction for \((1+\beta)\)-super-Brownian motion ⋮ Large deviation principle for some measure-valued processes ⋮ A degenerate stochastic partial differential equation for superprocesses with singular interaction ⋮ Structural, continuity, and asymptotic properties of a branching particle system ⋮ Long-time behavior and coexistence in a mutually catalytic branching model ⋮ A super-Brownian motion with a single point catalyst ⋮ Spectral analysis of non-local Schrödinger operators

Cites Work

• A weighted occupation time for a class of measure-valued branching processes
• Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium
• Occupation times for critical branching Brownian motions
• Stochastic evolution equations and related measure processes
• Stopping times and tightness
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• A limit theorem of branching processes and continuous state branching processes
• Critical dimension for a model of branching in a random medium
• A critical measure-valued branching process with infinite mean
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• Ergodic theory and a local occupation time for measure-valued critical branching brownian motion
• Limit Theorems for Branching Diffusions in Hydrodynamical Rescaling
• Critical behavior of some measure-valued processes
• A Central Limit Theorem for Cluster‐invariant Particle Systems
• The critical measure diffusion process
• Stability of Critical Cluster Fields
• Clumping effects in models of isolation by distance
• Maximum geographic range of a mutant allele considered as a subtype of a Brownian branching random field
• The Limit of a Sequence of Branching Processes
• Verallgemeinerungen eines Satzes von D<scp>OBRUSCHIN</scp>. I
• The Point Spectrum and Spectral Geometry for R<scp>iemann</scp>ian Manifolds with Cusps
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