Coupling in the theory of interacting systems

DOI10.1007/BF00994255zbMath0794.60108OpenAlexW2051998377MaRDI QIDQ1323514

Andreas Greven

Publication date: 28 August 1994

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00994255

zbMATH Keywords

Markov chainsinteracting diffusionscoupling statementscouplings for Markovian evolutions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60)

Uses Software

• GravEn

Cites Work

• Occupation time limit theorems for the voter model
• A phase transition for the coupled branching process. I: The ergodic theory in the range of finite second moments
• Ergodic theorems. With a supplement by Antoine Brunel
• Coupling of Markov chains by randomized stopping times. I: Couplings, harmonic functions and the Poisson equation
• Diffusive clustering in the two dimensional voter model
• On the long term behavior of some finite particle systems
• An interacting system in population genetics
• Infinite dimensional stochastic differential equations and their applications
• Shift-coupling
• Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
• Multiple time scale analysis of interacting diffusions
• Ergodic theorems for infinite systems of locally interacting diffusions
• Finite and infinite systems of interacting diffusions
• Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems
• Ergodic theorems for coupled random walks and other systems with locally interacting components
• Equilibria and Quasi-Equilibria for Infinite Collections of Interacting Fleming-Viot Processes

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