Finite approximations to the critical reversible nearest particle system

DOI10.1214/AOP/1022855881zbMath0966.82013OpenAlexW1599109906MaRDI QIDQ1307463

Thomas S. Mountford, Ted D. Sweet

Publication date: 2 December 1999

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

Full work available at URL: https://doi.org/10.1214/aop/1022855881

zbMATH Keywords

rate of convergencespectral gapfinite state Markov chaincritical attractive reversible nearest particle systemmixing inequality

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

Characterization of equilibrium measures for critical reversible nearest particle systems

Cites Work

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• Geometric bounds for eigenvalues of Markov chains
• Approximate counting, uniform generation and rapidly mixing Markov chains
• Critical phenomena for Spitzer's reversible nearest particle systems
• \(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case
• Brownian fluctuations of the edge for critical reversible nearest- particle systems
• Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
• Exponential convergence for attractive reversible subcritical nearest particle systems
• Stochastic time evolution of one dimensional infinite particle systems
• A Complete Convergence Theorem for Attractive Reversible Nearest Particle Systems

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