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Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jfan.1999.3419openalex-snapshot
The Log-Sobolev Inequality for Unbounded Spin Systems
inferredcites →https://doi.org/10.1007/978-1-4899-6653-7_20openalex-snapshot
Constructive Criterion for the Uniqueness of Gibbs Field
inferredcites →https://doi.org/10.1007/978-3-540-44671-2_13openalex-snapshot
Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited
inferredcites →https://doi.org/10.1007/978-3-540-48115-7_2openalex-snapshot
Lectures on Glauber Dynamics for Discrete Spin Models
inferredcites →https://doi.org/10.1007/bf01011153openalex-snapshot
Completely analytical interactions: Constructive description
inferredcites →https://doi.org/10.1007/bf01011161openalex-snapshot
Logarithmic Sobolev inequalities and stochastic Ising models
inferredcites →https://doi.org/10.1007/bf01244018openalex-snapshot
Uniform andL 2 convergence in one dimensional stochastic Ising models
inferredcites →https://doi.org/10.1007/bf02098489openalex-snapshot
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
inferredcites →https://doi.org/10.1007/bf02101094openalex-snapshot
The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition
inferredcites →https://doi.org/10.1007/bf02101929openalex-snapshot
Approach to equilibrium of Glauber dynamics in the one phase region
inferredcites →https://doi.org/10.1007/bf02101930openalex-snapshot
Approach to equilibrium of Glauber dynamics in the one phase region
inferredcites →https://doi.org/10.1007/bf02102414openalex-snapshot
The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice
inferredcites →https://doi.org/10.1007/bf02179301openalex-snapshot
On the ergodic properties of Glauber dynamics
inferredcites →https://doi.org/10.1007/bfb0096511openalex-snapshot
Concentration of measure and logarithmic Sobolev inequalities
inferredcites →https://doi.org/10.1007/s004400050102openalex-snapshot
On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups
inferredcites →https://doi.org/10.1007/s004400050235openalex-snapshot
The log-Sobolev inequality for weakly coupled lattice fields
inferredcites →https://doi.org/10.1016/0022-1236(85)90079-5openalex-snapshot
Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
inferredcites →https://doi.org/10.1016/0022-1236(92)90003-2openalex-snapshot
The logarithmic Sobolev inequality for continuous spin systems on a lattice
inferredcites →https://doi.org/10.1016/s0246-0203(00)01066-9openalex-snapshot
The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
inferredcites →https://doi.org/10.1016/s0246-0203(01)01085-8openalex-snapshot
The spectral gap for a Glauber-type dynamics in a continuous gas
inferredcites →https://doi.org/10.1214/aop/1039548378openalex-snapshot
Entropy inequalities for unbounded spin systems
inferredcites →https://doi.org/10.1515/9783110250329openalex-snapshot
Gibbs Measures and Phase Transitions
inferredcites →https://doi.org/10.1515/9783110850147openalex-snapshot
Gibbs Measures and Phase Transitions
inferredcites →https://doi.org/10.5169/seals-114695openalex-snapshot
Product spaces and Nelson's inequality
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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Mixing in time and space for lattice spin systems: A combinatorial view
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Combinatorial criteria for uniqueness of Gibbs measures
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Spatial Mixing and Non-local Markov chains
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Swendsen‐Wang dynamics for general graphs in the tree uniqueness region
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The Swendsen–Wang dynamics on trees
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Spatial mixing and the random‐cluster dynamics on lattices
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Mixing in Time and Space for Lattice Spin Systems: A Combinatorial View
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Randomly Coalescing Random Walk in Dimension ≥3
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Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited
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Logarithmic Sobolev Inequalities for Finite Dimensional Quantum Markov Chains
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Relaxation Times of Markov Chains in Statistical Mechanics and Combinatorial Structures
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Approximate Tensorization of the Relative Entropy for Noncommuting Conditional Expectations
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Quasi-optimal Sampling from Gibbs States via Non-commutative Optimal Transport Metrics
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Complete Entropic Inequalities for Quantum Markov Chains
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Concentration Inequalities for Functions of Gibbs Fields with Application to Diffraction and Random Gibbs Measures
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Glauber Dynamics on Trees: Boundary Conditions and Mixing Time
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Quantum Gibbs Samplers: The Commuting Case
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Block Factorization of the Relative Entropy via Spatial Mixing
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Entropy Decay for Davies Semigroups of a One Dimensional Quantum Lattice
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Cutoff for the Ising model on the lattice
inferred← citeshttps://doi.org/10.1007/s00440-009-0229-3openalex-snapshot
Slow decay of Gibbs measures with heavy tails
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Improved mixing condition on the grid for counting and sampling independent sets
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Rapid Mixing of Global Markov Chains via Spectral Independence: The Unbounded Degree Case
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The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
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Convex concentration inequalities for continuous gas and stochastic domination
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Logarithmic Sobolev constant for the dilute Ising lattice gas dynamics below the percolation threshold
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Thermalization in Kitaev’s quantum double models via tensor network techniques
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Polynomial Mixing of the Edge-Flip Markov Chain for Unbiased Dyadic Tilings
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Logarithmic Sobolev inequalities in discrete product spaces
inferred← citeshttps://doi.org/10.1063/1.5142186openalex-snapshot
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
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Quasi-factorization and multiplicative comparison of subalgebra-relative entropy
inferred← citeshttps://doi.org/10.1088/1742-5468/2005/10/p10012openalex-snapshot
Rapid mixing for lattice colourings with fewer colours
inferred← citeshttps://doi.org/10.1088/1742-5468/aaa793openalex-snapshot
Divide and conquer method for proving gaps of frustration free Hamiltonians
inferred← citeshttps://doi.org/10.1088/1751-8121/aae4cfopenalex-snapshot
Quantum conditional relative entropy and quasi-factorization of the relative entropy
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Sub-critical exponential random graphs: concentration of measure and some applications
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Entropy and curvature: Beyond the Peres-Tetali conjecture
inferred← citeshttps://doi.org/10.1103/physrevlett.130.060401openalex-snapshot
Rapid Thermalization of Spin Chain Commuting Hamiltonians
inferred← citeshttps://doi.org/10.1109/focs.2004.63openalex-snapshot
Strong Spatial Mixing for Lattice Graphs with Fewer Colours
inferred← citeshttps://doi.org/10.1109/focs.2011.45openalex-snapshot
Improved Mixing Condition on the Grid for Counting and Sampling Independent Sets
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00121openalex-snapshot
Uniqueness and Rapid Mixing in the Bipartite Hardcore Model (extended abstract)
inferred← citeshttps://doi.org/10.1109/isit45174.2021.9517893openalex-snapshot
Weak Quasi-Factorization for the Belavkin-Staszewski Relative Entropy
inferred← citeshttps://doi.org/10.1109/sfcs.2003.1238235openalex-snapshot
The Ising model on trees: boundary conditions and mixing time
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Superadditivity of Quantum Relative Entropy for General States
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Improved Mixing Bounds for the Anti-Ferromagnetic Potts Model on Z 2
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Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion
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Strong Spatial Mixing with Fewer Colors for Lattice Graphs
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Counting independent sets up to the tree threshold
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Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion
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Complexity of High-Dimensional Identity Testing with Coordinate Conditional Sampling
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Elementary bounds on Poincaré and log-Sobolev constants for decomposable Markov chains
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Exact thresholds for Ising–Gibbs samplers on general graphs
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Entropy inequalities for random walks and permutations
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Entropy inequalities for unbounded spin systems
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Entropy decay in the Swendsen-Wang dynamics on ${\mathbb Z}^d$
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