Relaxed criteria of the Dobrushin-Shlosman mixing condition

DOI10.1007/BF02181489zbMath0920.60086MaRDI QIDQ1285043

Nobuo Yoshida

Publication date: 15 September 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

convergence to equilibriumGlauber dynamicsDobrushin-Shlosman mixing conditionrelaxed criteria

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Quantum Gibbs samplers: the commuting case ⋮ Weak mixing and analyticity of the pressure in the Ising model

Cites Work

• The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• Approach to equilibrium of Glauber dynamics in the one phase region. I: The attractive case
• Approach to equilibrium of Glauber dynamics in the one phase region. II: The general case
• For 2-D lattice spin systems weak mixing implies strong mixing
• Hypercontractivity for spin systems of infinite extension
• Logarithmic Sobolev inequalities and stochastic Ising models
• Completely analytical interactions: Constructive description
• Complete analyticity for 2D Ising completed
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