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The phase transition in a general class of Ising-type models is sharp
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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/bf01011304openalex-snapshot
On the critical behavior of the magnetization in high-dimensional Ising models
inferredcites →https://doi.org/10.1007/bf01015729openalex-snapshot
Tree graph inequalities and critical behavior in percolation models
inferredcites →https://doi.org/10.1007/bf01152284openalex-snapshot
Coexistence of phases in Ising ferromagnets
inferredcites →https://doi.org/10.1007/bf01205659openalex-snapshot
Geometric analysis of ?4 fields and Ising models. Parts I and II
inferredcites →https://doi.org/10.1007/bf01208273openalex-snapshot
The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas
inferredcites →https://doi.org/10.1007/bf01208373openalex-snapshot
The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy
inferredcites →https://doi.org/10.1007/bf01212322openalex-snapshot
Sharpness of the phase transition in percolation models
inferredcites →https://doi.org/10.1007/bf01645626openalex-snapshot
The (φ4)2 field theory as a classical Ising model
inferredcites →https://doi.org/10.1007/bf01947075openalex-snapshot
The random walk representation of classical spin systems and correlation inequalities
inferredcites →https://doi.org/10.1007/bf01982711openalex-snapshot
Correlation inequalities and the decay of correlations in ferromagnets
inferredcites →https://doi.org/10.1016/0378-4371(86)90226-8openalex-snapshot
Rigorous studies of critical behavior
inferredcites →https://doi.org/10.1016/0550-3213(83)90053-6openalex-snapshot
On the renormalized coupling constant and the susceptibility in φ44 field theory and the Ising model in four dimensions
inferredcites →https://doi.org/10.1017/s0305004100019174openalex-snapshot
On Ising's model of ferromagnetism
inferredcites →https://doi.org/10.1063/1.1665005openalex-snapshot
Rigorous Results for Ising Ferromagnets of Arbitrary Spin
inferredcites →https://doi.org/10.1063/1.1665211openalex-snapshot
Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field
inferredcites →https://doi.org/10.1063/1.1705219openalex-snapshot
Correlations in Ising Ferromagnets. I
inferredcites →https://doi.org/10.1063/1.1705220openalex-snapshot
Correlations in Ising Ferromagnets. II. External Magnetic Fields
inferredcites →https://doi.org/10.1088/0022-3719/6/7/010openalex-snapshot
Ordering, metastability and phase transitions in two-dimensional systems
inferredcites →https://doi.org/10.1103/physrev.187.732openalex-snapshot
Long-Range Order in One-Dimensional Ising Systems
inferredcites →https://doi.org/10.1103/physrev.87.410openalex-snapshot
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
inferredcites →https://doi.org/10.1103/physrevlett.28.240openalex-snapshot
Critical Exponents in 3.99 Dimensions
inferredcites →https://doi.org/10.1103/physrevlett.35.327openalex-snapshot
Renormalization-Group Approach to Percolation Problems
inferredcites →https://doi.org/10.1103/physrevlett.56.1619openalex-snapshot
Inequality for the Infinite-Cluster Density in Bernoulli Percolation
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Thermodynamic limit of the first Lee‐Yang zero
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Near the Critical Point: Rigorous Results
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Exponential Decay in the Loop O(n) Model on the Hexagonal Lattice for n > 1 and $$x<\tfrac {1}{\sqrt {3}}+\varepsilon (n)$$
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Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory
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Near the Critical Point: Rigorous Results
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Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions
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Critical exponents for long-range interactions
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Discontinuity of the magnetization in one-dimensional 1/�x?y�2 Ising and Potts models
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Strict monotonicity for critical points in percolation and ferromagnetic models
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Sharpness of the phase transition in percolation models
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Rigorous Analysis of Discontinuous Phase Transitions via Mean-Field Bounds
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Lace Expansion for the Ising Model
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Continuity of the Ising Phase Transition on Nonamenable Groups
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Decay of Multi-point Correlation Functions in $$\mathbb {Z}^d$$
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New Lower Bounds for the (Near) Critical Ising and $$\varphi ^4$$ Models’ Two-Point Functions
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The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model
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A Sharp Deconfinement Transition for Potts Lattice Gauge Theory in Codimension Two
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Relaxation to Equilibrium for Two Dimensional Disordered Ising Systems in the Griffiths Phase
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Non-Perturbative Criteria for Gibbsian Uniqueness
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Decay of Correlations in Random-Cluster Models
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Multiplicity of Phase Transitions and Mean-Field Criticality on Highly Non-Amenable Graphs
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Emergent planarity in two-dimensional Ising models with finite-range Interactions
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Long range order for three-dimensional random field Ising model throughout the entire low temperature regime
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Ornstein-Zernike theory for finite range Ising models above T c
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Slab percolation for the Ising model
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The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1
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The Ising magnetization exponent on $$\mathbb{Z }^2$$ is $$1/15$$
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The phase transitions of the planar random-cluster and Potts models with $$q \ge 1$$ are sharp
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Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb {R}^d$$ R d
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Asymptotics of even–even correlations in the Ising model
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A new correlation inequality for Ising models with external fields
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Supercritical sharpness for Voronoi percolation
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Dynamical random field Ising model at zero temperature
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Mean-Field Driven First-Order Phase Transitions in Systems with Long-Range Interactions
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Decay Properties of the Connectivity for Mixed Long Range Percolation Models on ℤ d
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Mean-Field Behavior for Long- and Finite Range Ising Model, Percolation and Self-Avoiding Walk
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Critical Value of the Quantum Ising Model on Star-Like Graphs
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A Remark on the Decay of Correlations for Mixed-Range Spin Vector Models
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The Phase Transition of the Quantum Ising Model is Sharp
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Phase Separation in Random Cluster Models III: Circuit Regularity
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The High Temperature Ising Model on the Triangular Lattice is a Critical Bernoulli Percolation Model
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Rotating States in Driven Clock- and XY-Models
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The Signed Loop Approach to the Ising Model: Foundations and Critical Point
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Graphical Representations for Ising and Potts Models in General External Fields
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The Planar Ising Model and Total Positivity
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Kac–Ward Formula and Its Extension to Order–Disorder Correlators Through a Graph Zeta Function
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Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents
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Graphical Proof of Ginibre’s Inequality
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Geometric Analysis of Ising Models, Part III
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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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Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models
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Random currents expansion of the Ising model
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Scaling limits and universality of Ising and dimer models
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100 years of the (critical) Ising model on the hypercubic lattice
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Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point
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Order/disorder phase transitions: the example of the Potts model
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Approximate zero-one laws and sharpness of the percolation transition in a class of models including 2D Ising percolation
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Random Current Representation for Transverse Field Ising Models
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The self-dual point of the two-dimensional random-cluster model is critical for $q\geq 1$
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Graphical representations of Ising and Potts models
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Conformal invariance of lattice models
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The Ising magnetization exponent on Z^2 is 1/15
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Incipient infinite cluster in 2D Ising percolation
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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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A note on continuity of magnetization at criticality for the ferromagnetic Ising model on amenable quasi-transitive graphs with exponential growth
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Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb{R}^d$
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Existence of Scaling Limit Phase Transition in a Two-dimensional Random Polymer Model
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Asymptotics of correlations in the Ising model: a brief survey
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Weak mixing and analyticity in Random Cluster and low temperature Ising models
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On monotonicity and couplings of random currents and the loop-$\mathrm{O}(1)$-model
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Sharp Phase Transition for the Random-Cluster Model with Summable External Magnetic Field
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Conformal invariance of double random currents II: tightness and properties in the discrete
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Perspectives in Statistical Mechanics
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Separated-occurrence inequalities for dependent percolation and Ising models
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On the Critical Behavior at the Lower Phase Transition of the Contact Process
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Subcritical phase of d -dimensional Poisson–Boolean percolation and its vacant set
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Probability on graphs: random processes on graphs and lattices
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A lace-expansion analysis of random spatial models
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Interpolation schemes in percolation theory
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On classical and quantum lattice spin systems
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