Clustering and invariant measures for spatial branching models with infinite variance
From MaRDI portal
Publication:1307477
DOI10.1214/aop/1022855745zbMath0938.60086OpenAlexW2004247648MaRDI QIDQ1307477
Publication date: 21 June 2000
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1022855745
invariant measuresstable lawsreaction-diffusion equationsuperprocessbranching Brownian motiondiffusive clustering
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
Diffusive clustering of interacting Brownian motions on \(\mathbb Z^ 2\). ⋮ Trimmed trees and embedded particle systems. ⋮ Interacting diffusions in a random medium: comparison and longtime behavior. ⋮ Some local approximations of Dawson-Watanabe superprocesses ⋮ Multi-scale clustering for a non-Markovian spatial branching process
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear parabolic equations involving measures as initial conditions
- Persistence criteria for a class of critical branching particle systems in continuous time
- A very singular solution of the heat equation with absorption
- Diffusive clustering in the two dimensional voter model
- Conditional limit distributions of critical branching Brownian motions
- Convergence to equilibrium of critical branching particle systems and superprocesses, and related nonlinear partial differential equations
- Persistence of critical multitype particle and measure branching processes
- Branching processes in Lévy processes: The exploration process
- Ergodicity of critical spatial branching processes in low dimensions
- Invariant measures of critical spatial branching processes in high dimensions
- Multiple scale analysis of clusters in spatial branching models
- Different clustering regimes in systems of hierarchically interacting diffusions
- Critical behavior of some measure-valued processes
