Uniqueness of Gibbs states on loop lattices

DOI10.1016/S0764-4442(97)83583-5zbMath0883.60093MaRDI QIDQ4350936

Yuri G. Kondratiev, Michael Roeckner, T. V. Tsykalenko, Sergio A. Albeverio

Publication date: 4 March 1998

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gibbs statesquantum lattice systemsuniqueness criterionLog-Sobolev inequalityVasershtein distancenonharmonic pair potentials

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dirichlet forms (31C25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Applications of quantum theory to specific physical systems (81V99)

Related Items (4)

The log-Sobolev inequality with quadratic interactions ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ Uniqueness condition for an auto-logistic model ⋮ GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS

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