One-dimensional DLR invariant measures are regular

DOI10.1007/BF01223199zbMath0414.60096MaRDI QIDQ599447

Anna De Masi

Publication date: 1979

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

invariant measuresinfinite spinsinteraction processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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One-dimensional harmonic lattice caricature of hydrodynamics ⋮ On the absence of phase transition in one-dimensional random fields ⋮ On the absence of phase transition in continuous one-dimensional Gibbs systems with no hard core

Cites Work

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• Superstable interactions in classical statistical mechanics
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• DLR measures for one-dimensional harmonic systems
• Existence and uniqueness of DLR measures for unbounded spin systems