Comparison for measure valued processes with interactions

DOI10.1214/aop/1055425794zbMath1045.60046OpenAlexW2016023063MaRDI QIDQ1431506

S. D. Jacka, Roger P. Tribe

Publication date: 10 June 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1055425794

zbMATH Keywords

clusteringstochastic controlinteractionItô's lemmarandom branching

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Control/observation systems in abstract spaces (93C25) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55) Stochastic analysis (60H99) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

On transition semigroups of \((A,\mathbf\Psi)\)-superprocesses with immigration ⋮ A functional Itō-formula for Dawson-Watanabe superprocesses

Cites Work

• Super-Brownian motion: Path properties and hitting probabilities
• Comparison of systems of stochastic partial differential equations
• Comparison of interacting diffusions and an application to their ergodic theory
• A limit theorem of branching processes and continuous state branching processes
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• Collision Local Times and Measure-Valued Processes
• On the martingale problem for interactive measure-valued branching diffusions
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