ERGODICITY FOR INFINITE PARTICLE SYSTEMS WITH LOCALLY CONSERVED QUANTITIES

DOI10.1142/S0219025712500051zbMath1268.60120arXiv1002.0282OpenAlexW2963989028MaRDI QIDQ2890511

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Publication date: 11 June 2012

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0282

zbMATH Keywords

locally conserved quantityHörmander-type generatorLigget-Nash inequality

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (7)

Higher order coercive inequalities ⋮ Stochastic differential equations in a scale of Hilbert spaces. Global solutions ⋮ Factorized duality, stationary product measures and generating functions ⋮ Stochastic differential equations in a scale of Hilbert spaces ⋮ Non-equilibrium particle dynamics with unbounded number of interacting neighbors ⋮ Hypocoercive relaxation to equilibrium for some kinetic models ⋮ An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice

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