A Characterization of the Invariant Measures for an Infinite Particle System with Interactions

DOI10.2307/1996513zbMath0268.60090OpenAlexW4237481907MaRDI QIDQ3214008

Thomas M. Liggett

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996513

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ergodic theory of linear operators (47A35)

Related Items (17)

A Characterization of the Invariant Measures for an Infinite Particle System with Interactions. II ⋮ Random walk and diffusion in a stochastic lattice gas model ⋮ Pointwise ergodic theorems for the symmetric exclusion process ⋮ Stochastic flows in the Brownian web and net ⋮ Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles ⋮ Classification of stationary distributions for the stochastic vertex models ⋮ Some ergodic theorems for a parabolic Anderson model ⋮ An ergodic theorem of a parabolic Anderson model driven by Lévy noise ⋮ Exclusion processes with multiple interactions ⋮ A dissonant voting model: Nonergodic case ⋮ Random time evolution of infinite particle systems ⋮ Ergodic theorems for coupled random walks and other systems with locally interacting components ⋮ Symmetric Jump Processes ⋮ Product measures and dynamics for solid-on-solid interfaces ⋮ Recurrent Random Walk of an Infinite Particle System ⋮ Ergodic Theorems for the Asymmetric Simple Exclusion Process ⋮ Hydrodynamic limits for one-dimensional particle systems with moving boundaries

Cites Work

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• Free energy in a Markovian model of a lattice spin system
• An infinite particle system with zero range interactions
• Existence Theorems for Infinite Particle Systems
• An ergodic theorem for interacting systems with attractive interactions

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