Particle representations of superprocesses with dependent motions

DOI10.1016/j.spa.2010.06.005zbMath1203.60054OpenAlexW1986354906MaRDI QIDQ607273

Kathryn E. Temple

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.spa.2010.06.005

zbMATH Keywords

superprocessparticle representationcoalescing Brownian motiondependent motionsinteracting Brownian flow

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Unnamed Item
• Superprocesses with coalescing Brownian spatial motion as large-scale limits
• Martingale problems for conditional distributions of Markov processes
• State classification for a class of measure-valued branching diffusions in a Brownian medium
• Particle representations for measure-valued population models
• Superprocesses with dependent spatial motion and general branching densities
• A class of measure-valued branching diffusions in a random medium