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Completely analytical interactions: Constructive description

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

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/10.1007/978-1-4899-6653-7_21openalex-snapshot
Completely Analytical Gibbs Fields
inferredcites →https://doi.org/10.1007/bf01030046openalex-snapshot
Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume
inferredcites →https://doi.org/10.1007/bf01208821openalex-snapshot
Phase diagram of the two-dimensional Ising antiferromagnet (computer-assisted proof)

What points at this work

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

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Computing the Partition Function of a Polynomial on the Boolean Cube
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Lectures on Logarithmic Sobolev Inequalities
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Statistical mechanics of probabilistic cellular automata
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Cluster expansion ford-dimensional lattice systems and finite-volume factorization properties
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Some rigorous results on majority rule renormalization group transformations near the critical point
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Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
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Some remarks on pathologies of renormalization-group transformations for the Ising model
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Hypercontractivité pour des systèmes de spins de portée infinie
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Completely analytic interactions with infinite values
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Localization for random Schrödinger operators with correlated potentials
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The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition
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Decay to equilibrium in random spin systems on a lattice
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Approach to equilibrium of Glauber dynamics in the one phase region
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Aggregation and intermediate phases in dilute spin systems
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Complete analyticity for 2D Ising completed
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High temperature expansions and dynamical systems
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Pathological behavior of renormalization-group maps at high fields and above the transition temeprature
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Relaxed criteria of the Dobrushin-Shlosman mixing condition
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Renormalization group at criticality and complete analyticity of constrained models: A numerical study
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Some numerical results on the block spin transformation for the 2D Ising model at the critical point
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Ill-defined block-spin transformations at arbitrarily high temperatures
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Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
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Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
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Semi-Classical Analysis of Non-Self-Adjoint Transfer Matrices in Statistical Mechanics I
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Stability of the Uniqueness Regime for Ferromagnetic Glauber Dynamics Under Non-reversible Perturbations
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Quantum Concentration Inequalities
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Quasi-optimal Sampling from Gibbs States via Non-commutative Optimal Transport Metrics
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Exponential Distribution for the Occurrence of Rare Patterns in Gibbsian Random Fields
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Graded Cluster Expansion for Lattice Systems
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Renormalization Group in the Uniqueness Region: Weak Gibbsianity and Convergence
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Critical Ising on the Square Lattice Mixes in Polynomial Time
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Diffusion in Energy Conserving Coupled Maps
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Weak Mixing and Analyticity of the Pressure in the Ising Model
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Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature
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Block Factorization of the Relative Entropy via Spatial Mixing
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Phase Diagram of the Ashkin–Teller Model
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Clustering Theorem in 1D Long-Range Interacting Systems at Arbitrary Temperatures
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Entanglement Entropy Bounds for Pure States of Rapid Decorrelation
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Phase Diagram of Ising Systems with Additional Long Range Forces
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Complete Analyticity of the 2D Potts Model above the Critical Temperature
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Non-Perturbative Criteria for Gibbsian Uniqueness
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Moment analysis for localization in random Schrödinger operators
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Cutoff for the Ising model on the lattice
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Absence of zeros implies strong spatial mixing
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On weak mixing in lattice models
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Occurrence, Repetition and Matching of Patterns in the Low-temperature Ising Model
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New Characterizations of the Region of Complete Localization for Random Schrödinger Operators
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Perturbative Analysis of Disordered Ising Models Close to Criticality
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Witten Laplacian Method for The Decay of Correlations
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Potts Models in the Continuum. Uniqueness and Exponential Decay in the Restricted Ensembles
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Coexistence of Ordered and Disordered Phases in Potts Models in the Continuum
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Random Walks in Space Time Mixing Environments
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Mixing Length Scales of Low Temperature Spin Plaquettes Models
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Decay of Correlations and Uniqueness of the Infinite-Volume Gibbs Measure of the Canonical Ensemble of 1d-Lattice Systems
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Gaussian concentration bounds for probabilistic cellular automata
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A Wegner-type Estimate for Correlated Potentials
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An SMB approach for pressure representation in amenable virtually orderable groups
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The logarithmic Sobolev inequality for continuous spin systems on a lattice
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Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction
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Disagreement percolation for Gibbs ball models
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The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
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Constructive fractional-moment criteria for localization in random operators
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The random geometry of equilibrium phases
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Statistical Mechanics of Lattice Systems
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Logarithmic Sobolev inequalities in discrete product spaces
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Renormalization-Group Transformations Under Strong Mixing Conditions: Gibbsianness and Convergence of Renormalized Interactions
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Coexistence of Partially Disordered/Ordered Phases in an Extended Potts Model
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On the exponential decay of the n-point correlation functions and the analyticity of the pressure
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On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
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From the seminar on Mathematical Statistical Physics in Moscow State University, 1962–1994. Constructive criteria
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PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA
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Classical algorithms, correlation decay, and complex zeros of partition functions of Quantum many-body systems
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A Unified Approach to Learning Ising Models: Beyond Independence and Bounded Width
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Phase Transitions via Complex Extensions of Markov Chains
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Measure concentration for Euclidean distance in the case of dependent random variables
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Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition
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Interference queueing networks on grids
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Disagreement percolation for the hard-sphere model
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Uniqueness of Markov random fields with higher-order dependencies
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Isoperimetry for Gibbs Measures
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On Simple Mechanisms for Dependent Items
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Lyapunov Exponents and Large Deviations Analysis of Eigenfunctions in Anderson Models on Graphs
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A Cluster Expansion Free Method for Computing Higher Derivatives of the Free Energy and Estimating the Error between the Finite and Infinite Volume Free Energy
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Critical Ising on the square lattice mixes in polynomial time
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Tensorizing maximal correlations
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Cutoff for general spin systems with arbitrary boundary conditions
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The truncated correlations of the Ising model in any dimension decay exponentially fast at all but the critical temperature
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Disagreement percolation for the hard-sphere model
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Logarithmic Sobolev inequalities in discrete product spaces: a proof by a transportation cost distance
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Stability of the uniqueness regime for ferromagnetic Glauber dynamics under non-equilibrium perturbations
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Disagreement percolation for Gibbs ball models
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Learning from weakly dependent data under Dobrushin's condition
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Weak mixing and analyticity in Random Cluster and low temperature Ising models
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The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
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On Simple Mechanisms for Dependent Items
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Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature
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Perspectives in Statistical Mechanics
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Witten Laplacian Methods for the Decay of Correlations
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Towards a Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Spin Systems
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Random walks on FKG-horizontally oriented lattices
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Approximating real-rooted and stable polynomials, with combinatorial applications
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Cutoff phenomenon for some interacting particle systems
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On concentration inequalities for equilibrium states in lattice and symbolic dynamical systems
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