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Uniform andL 2 convergence in one dimensional stochastic Ising models

https://doi.org/10.1007/bf01244018
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-8514-1openalex-snapshot
An Introduction to the Theory of Large Deviations
inferredcites →https://doi.org/10.1007/978-1-4613-8542-4openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.1007/978-1-4613-8734-3_11openalex-snapshot
One Dimensional Stochastic Ising Models
inferredcites →https://doi.org/10.1007/bf00533313openalex-snapshot
L 2 theory for the stochastic Ising model
inferredcites →https://doi.org/10.1007/bf00538715openalex-snapshot
A unified existence and ergodic theorem for Markov evolution of random fields
inferredcites →https://doi.org/10.1007/bf01011161openalex-snapshot
Logarithmic Sobolev inequalities and stochastic Ising models
inferredcites →https://doi.org/10.1007/bf01613147openalex-snapshot
In one and two dimensions, every stationary measure for a stochastic Ising Model is a Gibbs state
inferredcites →https://doi.org/10.1007/bf01617873openalex-snapshot
Applications of the stochastic Ising model to the Gibbs states
inferredcites →https://doi.org/10.1063/1.1703954openalex-snapshot
Time-Dependent Statistics of the Ising Model
inferredcites →https://doi.org/10.1201/9781315373140-16openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.1214/aop/1176993067openalex-snapshot
Rapid Convergence to Equilibrium in One Dimensional Stochastic Ising Models
inferredcites →https://doi.org/10.2307/2373688openalex-snapshot
Logarithmic Sobolev Inequalities

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Cutoff for General Spin Systems with Arbitrary Boundary Conditions
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The One Dimensional Stochastic X-Y Model
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Hypercontractivité pour des systèmes de spins de portée infinie
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Log-Sobolev inequalities for infinite one dimensional lattice systems
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The spectral gap for some spin chains with discrete symmetry breaking
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The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition
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Strong decay to equilibrium in one-dimensional random spin systems
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Precise estimates on the rate at which certain diffusions tend to equilibrium
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Coupling, spectral gap and related topics (II)
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Logarithmic Sobolev inequalities and contractivity properties of semigroups
inferred← citeshttps://doi.org/10.1007/pl00008792openalex-snapshot
Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
inferred← citeshttps://doi.org/10.1007/s00220-012-1460-9openalex-snapshot
Critical Ising on the Square Lattice Mixes in Polynomial Time
inferred← citeshttps://doi.org/10.1007/s00220-023-04869-5openalex-snapshot
Entropy Decay for Davies Semigroups of a One Dimensional Quantum Lattice
inferred← citeshttps://doi.org/10.1007/s002200050160openalex-snapshot
Relaxation of Disordered Magnets in the Griffiths' Regime
inferred← citeshttps://doi.org/10.1007/s00222-012-0404-5openalex-snapshot
Cutoff for the Ising model on the lattice
inferred← citeshttps://doi.org/10.1016/0022-1236(92)90003-2openalex-snapshot
The logarithmic Sobolev inequality for continuous spin systems on a lattice
inferred← citeshttps://doi.org/10.1016/0022-1236(92)90073-ropenalex-snapshot
Dobrushin uniqueness theorem and logarithmic Sobolev inequalities
inferred← citeshttps://doi.org/10.1016/j.jfa.2005.06.019openalex-snapshot
Semi-linear problems in infinite dimensions
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Hypercontractivité et isopérimétrie gaussienne. Applications aux systèmes de spins
inferred← citeshttps://doi.org/10.1016/s0304-4149(01)00138-7openalex-snapshot
Ergodicity of one-dimensional resource sharing systems
inferred← citeshttps://doi.org/10.1023/a:1023297524887openalex-snapshot
Convergence Speed for Simple Symmetric Exclusion: An Explicit Calculation
inferred← citeshttps://doi.org/10.1103/physrevlett.130.060401openalex-snapshot
Rapid Thermalization of Spin Chain Commuting Hamiltonians
inferred← citeshttps://doi.org/10.1209/0295-5075/26/6/002openalex-snapshot
Relaxation to Equilibrium in Non-Conservative Lattice Systems
inferred← citeshttps://doi.org/10.1214/13-aop879openalex-snapshot
Conditional ergodicity in infinite dimension
inferred← citeshttps://doi.org/10.1214/aop/1024404276openalex-snapshot
Stochastic models of interacting systems
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Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below
inferred← citeshttps://doi.org/10.48550/arxiv.1001.1613openalex-snapshot
Critical Ising on the square lattice mixes in polynomial time
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Cutoff for general spin systems with arbitrary boundary conditions
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The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
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Ergodic convergence rates of Markov processes--eigenvalues, inequalities and ergodic theory
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Cutoff phenomenon for some interacting particle systems
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