Finite approximations to the critical reversible nearest particle system
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Publication:1307463
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
rate of convergencespectral gapfinite state Markov chaincritical attractive reversible nearest particle systemmixing inequality
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
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Cites Work
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- Geometric bounds for eigenvalues of Markov chains
- Approximate counting, uniform generation and rapidly mixing Markov chains
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- \(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case
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- 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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