On the ergodic properties of Glauber dynamics.

DOI10.1007/BF02179301zbMath1081.60562MaRDI QIDQ1593335

Daniel W. Stroock, Bogusław Zegarliński

Publication date: 16 January 2001

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

zbMATH Keywords

logarithmic Sobolev inequality

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items

Stochastic analysis and applications, Invariance implies Gibbsian: some new results, A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli space: entropy, pressure and large deviations, LSI for Kawasaki dynamics with weak interaction, Decay to equilibrium in random spin systems on a lattice, Glauber dynamics on trees: Boundary conditions and mixing time, Functional inequalities and uniqueness of the Gibbs measure — from log-Sobolev to Poincaré, Strictly weak consensus in the uniform compass model on \(\mathbb{Z}\), Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The logarithmic Sobolev inequality for continuous spin systems on a lattice
• The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Approach to equilibrium of Glauber dynamics in the one phase region. I: The attractive 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
• Strong decay to equilibrium in one-dimensional random spin systems