Quasi-stationary measures for conservative dynamics in the infinite lattice

DOI10.1214/aop/1015345770zbMath1018.60092OpenAlexW1516047295MaRDI QIDQ1872245

Amine Asselah, Paolo Dai Pra

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1015345770

zbMATH Keywords

quasi-stationary measuresconservative interacting particle systems

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

Regularity of quasi-stationary measures for simple exclusion in dimension \(d\geq 5\) ⋮ Hitting times for independent random walks on \(\mathbb Z^d\) ⋮ Exact asymptotics for Duarte and supercritical rooted kinetically constrained models ⋮ Universality results for kinetically constrained spin models in two dimensions ⋮ Kinetically constrained models with random constraints ⋮ Sharp threshold for the FA-2f kinetically constrained model ⋮ Existence of quasi-stationary measures for asymmetric attractive particle systems on \(\mathbb Z^d\) ⋮ Aging through hierarchical coalescence in the East model ⋮ Hitting times for special patterns in the symmetric exclusion process on \(\mathbb{Z}^d\) ⋮ Topologically induced metastability in a periodic XY chain ⋮ Universality for critical KCM: finite number of stable directions

Cites Work

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• Symmetric exclusion processes: A comparison inequality and a large deviation result
• Invariant measures for the zero range process
• Mathematical methods for hydrodynamic limits
• Markov chain models - rarity and exponentiality
• First occurrence time of a large density fluctuation for a system of independent random walks
• Additive functionals, nowhere Radon and Kato class smooth measures associated with Dirichlet forms
• Existence of quasi-stationary distributions: A renewal dynamical approach
• An infinite particle system with zero range interactions

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