Log-Sobolev inequalities for infinite one-dimensional lattice systems
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Publication:750011
DOI10.1007/BF02096558zbMath0713.60080MaRDI QIDQ750011
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
large deviationscontinuous spin systemsGibbs measure of an infinite spin systemlogarithmic-Sobolev inequality
Interacting particle systems in time-dependent statistical mechanics (82C22) Diffusion processes (60J60) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)
Related Items (21)
Isoperimetry for Gibbs measures ⋮ Logarithmic Schrödinger equations in infinite dimensions ⋮ Hypercontractivity for spin systems of infinite extension ⋮ Strong decay to equilibrium in one-dimensional random spin systems ⋮ The spectral gap for some spin chains with discrete symmetry breaking ⋮ PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA ⋮ The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice ⋮ Ising models on the lattice Sierpiński gasket. ⋮ A new criterion for the logarithmic Sobolev inequality and two applications ⋮ Entropy decay for Davies semigroups of a one dimensional quantum lattice ⋮ Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles ⋮ Dobrushin uniqueness theorem and logarithmic Sobolev inequalities ⋮ The logarithmic Sobolev inequality for continuous spin systems on a lattice ⋮ The logarithmic Sobolev inequality for discrete spin systems on a lattice ⋮ HYPERCONTRACTIVITY VIA SPECTRAL THEORY ⋮ Linear and nonlinear phenomena in large interacting systems ⋮ Coercive inequalities for Gibbs measures ⋮ Hypercontractivity in noncommutative \(L_1\) spaces ⋮ Sobolev-Orlicz imbeddings, weak compactness, and spectrum ⋮ Estimates of logarithmic Sobolev constant for finite-volume continuous spin systems. ⋮ Approach to equilibrium of Glauber dynamics in the one phase region. II: The general case
Cites Work
- Uniform and \(L^ 2\) convergence in one dimensional stochastic Ising models
- Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators
- A covariance estimate for Gibbs measures
- Diffusions on an infinite dimensional torus
- Dobrushin uniqueness theorem and logarithmic Sobolev inequalities
- Logarithmic Sobolev inequalities and stochastic Ising models
- The free Markoff field
- Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
- On log-Sobolev inequalities for infinite lattice systems
- A Remark on Nelson's Best Hypercontractive Estimates
- Logarithmic Sobolev Inequalities
- L 2 theory for the stochastic Ising model
- Time-Dependent Statistics of the Ising Model
- Prescribing a System of Random Variables by Conditional Distributions
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