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Inequalities for Ising models and field theories which obey the Lee-Yang Theorem
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160270203openalex-snapshot
Zeros of the partition function for generalized ising systems
inferredcites →https://doi.org/10.1007/978-1-4612-5418-8_26openalex-snapshot
The entropy principle for vertex functions in quantum field models
inferredcites →https://doi.org/10.1007/978-1-4612-5418-8_33openalex-snapshot
Absolute bounds on vertices and couplings
inferredcites →https://doi.org/10.1007/bf01645626openalex-snapshot
The (φ4)2 field theory as a classical Ising model
inferredcites →https://doi.org/10.1007/bf01649592openalex-snapshot
A theorem concerning the positive metric
inferredcites →https://doi.org/10.1007/bfb0113083openalex-snapshot
Euclidean Green’s Functions and Wightman Distributions
inferredcites →https://doi.org/10.1007/bfb0113086openalex-snapshot
The particle structure of the weakly coupled ϱ(ϕ)2 model and other applications of high temperature expansions
inferredcites →https://doi.org/10.1007/bfb0113093openalex-snapshot
Nondiscrete spins and the Lee-Yang Theorem
inferredcites →https://doi.org/10.1063/1.1664600openalex-snapshot
General Griffiths' Inequalities on Correlations in Ising Ferromagnets
inferredcites →https://doi.org/10.1063/1.1705220openalex-snapshot
Correlations in Ising Ferromagnets. II. External Magnetic Fields
inferredcites →https://doi.org/10.1088/0031-9112/25/10/030openalex-snapshot
Constructive Quantum Field Theory
inferredcites →https://doi.org/10.1103/physrevlett.33.440openalex-snapshot
Remark on the Existence of ϕ44
inferredcites →https://doi.org/10.1139/p74-206openalex-snapshot
On the Absence of Bound States in the λϕ 2 4 Quantum Field Model Without Symmetry Breaking
inferredcites →https://doi.org/10.1142/4090#t=tocopenalex-snapshot
Statistical Mechanics: Rigorous Results
inferredcites →https://doi.org/10.1515/9781400868759openalex-snapshot
P(0)2 Euclidean (Quantum) Field Theory
inferredcites →https://doi.org/10.2307/1970988openalex-snapshot
The P(φ) 2 Euclidean Quantum Field Theory as Classical Statistical Mechanics
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/cpa.20295openalex-snapshot
The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
inferred← citeshttps://doi.org/10.1002/sapm198572139openalex-snapshot
The Painlevé Property and Hirota's Method
inferred← citeshttps://doi.org/10.1007/3-540-11192-1_10openalex-snapshot
Geometric analysis of ϕ4 fields and Ising models
inferred← citeshttps://doi.org/10.1007/3-540-13911-7_79openalex-snapshot
Rigorous studies of critical behavior
inferred← citeshttps://doi.org/10.1007/978-1-4612-1358-1_22openalex-snapshot
Lee-Yang Models, Selfdecomposability and Negative-Definite Functions
inferred← citeshttps://doi.org/10.1007/978-1-4612-5158-3_10openalex-snapshot
Critical Problems in Quantum Fields
inferred← citeshttps://doi.org/10.1007/978-1-4612-5158-3_9openalex-snapshot
Particles and Bound States and Progress Toward Unitarity and Scaling
inferred← citeshttps://doi.org/10.1007/978-1-4612-5415-7_12openalex-snapshot
Critical Problems in Quantum Fields
inferred← citeshttps://doi.org/10.1007/978-1-4612-5418-8_34openalex-snapshot
The Coupling Constant in a ϕ4 Field Theory
inferred← citeshttps://doi.org/10.1007/978-1-4612-5421-8_28openalex-snapshot
The Coupling Constant in A φ4 Field Theory
inferred← citeshttps://doi.org/10.1007/978-1-4615-8924-2_2openalex-snapshot
Asymptotic Behavior of the Autocovariance Function and Violation of Strong Mixing
inferred← citeshttps://doi.org/10.1007/978-1-4684-7571-5_12openalex-snapshot
The Coupling Constant in a φ4 Field Theory
inferred← citeshttps://doi.org/10.1007/978-1-4899-6762-6_5openalex-snapshot
Rigorous Results on the Critical Behavior in Statistical Mechanics
inferred← citeshttps://doi.org/10.1007/978-3-662-02449-2_9openalex-snapshot
Hirota’s Method and the Painlevé Property
inferred← citeshttps://doi.org/10.1007/978-3-662-02866-7openalex-snapshot
Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory
inferred← citeshttps://doi.org/10.1007/978-3-662-10018-9_9openalex-snapshot
A General Lee—Yang Theorem for One-Component and Multicomponent Ferromagnets
inferred← citeshttps://doi.org/10.1007/978-3-7091-8462-2_3openalex-snapshot
Schwinger Functionals and Euclidean Measures
inferred← citeshttps://doi.org/10.1007/978-981-15-0294-1_1openalex-snapshot
Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman
inferred← citeshttps://doi.org/10.1007/978-981-15-0294-1_3openalex-snapshot
Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass?
inferred← citeshttps://doi.org/10.1007/bf00538350openalex-snapshot
Gaussian correlation inequalities for ferromagnets
inferred← citeshttps://doi.org/10.1007/bf01008477openalex-snapshot
More inequalities for critical exponents
inferred← citeshttps://doi.org/10.1007/bf01009544openalex-snapshot
Percolation in strongly correlated systems: The massless Gaussian field
inferred← citeshttps://doi.org/10.1007/bf01010535openalex-snapshot
Fluctuation susceptibility relations for classical spin systems
inferred← citeshttps://doi.org/10.1007/bf01015732openalex-snapshot
New inequalities for Ising ferromagnets
inferred← citeshttps://doi.org/10.1007/bf01018677openalex-snapshot
Random vectors with the Lee-Yang property
inferred← citeshttps://doi.org/10.1007/bf01020342openalex-snapshot
Rigorous results for general ising ferromagnets
inferred← citeshttps://doi.org/10.1007/bf01084281openalex-snapshot
Correlation inequalities and their applications
inferred← citeshttps://doi.org/10.1007/bf01095604openalex-snapshot
Some issues of summation in the Ising scheme
inferred← citeshttps://doi.org/10.1007/bf01197446openalex-snapshot
H�lder continuity of sample paths in Euclidean field theory
inferred← citeshttps://doi.org/10.1007/bf01197754openalex-snapshot
Normal fluctuations and the FKG inequalities
inferred← citeshttps://doi.org/10.1007/bf01205659openalex-snapshot
Geometric analysis of ?4 fields and Ising models. Parts I and II
inferred← citeshttps://doi.org/10.1007/bf01206055openalex-snapshot
The random-walk representation of classical spin systems and correlation inequalities
inferred← citeshttps://doi.org/10.1007/bf01212173openalex-snapshot
Perturbation about the mean field critical point
inferred← citeshttps://doi.org/10.1007/bf01213009openalex-snapshot
A general Lee-Yang theorem for one-component and multicomponent ferromagnets
inferred← citeshttps://doi.org/10.1007/bf01214582openalex-snapshot
Infinitely divisible distribution functions of class L and the Lee-Yang theorem
inferred← citeshttps://doi.org/10.1007/bf01215220openalex-snapshot
On limit theorems for the bivariate (magnetization, energy) variable at the critical point
inferred← citeshttps://doi.org/10.1007/bf01238808openalex-snapshot
Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions
inferred← citeshttps://doi.org/10.1007/bf01334759openalex-snapshot
The magnetization-energy scaling limit in high dimension
inferred← citeshttps://doi.org/10.1007/bf01362805openalex-snapshot
Probabilities of large deviations in a certain scheme of summation of dependent random variables
inferred← citeshttps://doi.org/10.1007/bf01596838openalex-snapshot
High-temperature expansion for nonrenormalizable quantum field theories
inferred← citeshttps://doi.org/10.1007/bf01608372openalex-snapshot
Remarks on the relation between the Lee-Yang circle theorem and the correlation inequalities
inferred← citeshttps://doi.org/10.1007/bf01608495openalex-snapshot
The GHS and other correlation inequalities for a class of even ferromagnets
inferred← citeshttps://doi.org/10.1007/bf01608737openalex-snapshot
A possible constructive approach to φ 4 4
inferred← citeshttps://doi.org/10.1007/bf01609827openalex-snapshot
Multicomponent field theories and classical rotators
inferred← citeshttps://doi.org/10.1007/bf01629244openalex-snapshot
Prime field decompositions and infinitely divisible states on Borchers' tensor algebra
inferred← citeshttps://doi.org/10.1007/bf01673628openalex-snapshot
Probabilistic aspects of quantum field theory
inferred← citeshttps://doi.org/10.1007/bf01947075openalex-snapshot
The random walk representation of classical spin systems and correlation inequalities
inferred← citeshttps://doi.org/10.1007/bfb0013311openalex-snapshot
Particles and bound states and progress toward unitarity and scaling
inferred← citeshttps://doi.org/10.1007/s00220-019-03453-0openalex-snapshot
Lee–Yang Property and Gaussian Multiplicative Chaos
inferred← citeshttps://doi.org/10.1007/s00220-023-04693-xopenalex-snapshot
Monotonicity of Ursell Functions in the Ising Model
inferred← citeshttps://doi.org/10.1007/s002200100440openalex-snapshot
Triviality of Hierarchical Ising Model¶in Four Dimensions
inferred← citeshttps://doi.org/10.1007/s00222-009-0189-3openalex-snapshot
The Lee-Yang and Pólya-Schur programs. I. Linear operators preserving stability
inferred← citeshttps://doi.org/10.1007/s10955-005-8010-1openalex-snapshot
Triviality of Hierarchical Models with Small Negative φ4 Coupling in Four Dimensions
inferred← citeshttps://doi.org/10.1007/s10955-008-9568-1openalex-snapshot
Hierarchical Spherical Model from a Geometric Point of View
inferred← citeshttps://doi.org/10.1007/s10955-010-9961-4openalex-snapshot
Phase Transition in Ferromagnetic Ising Models with Non-uniform External Magnetic Fields
inferred← citeshttps://doi.org/10.1007/s10955-022-02935-1openalex-snapshot
Ising Model with Curie–Weiss Perturbation
inferred← citeshttps://doi.org/10.1007/s11040-025-09528-wopenalex-snapshot
Geometric Analysis of Ising Models, Part III
inferred← citeshttps://doi.org/10.1007/s11856-021-2244-8openalex-snapshot
Sharp Khinchin-type inequalities for symmetric discrete uniform random variables
inferred← citeshttps://doi.org/10.1016/0003-4916(76)90221-9openalex-snapshot
The pure phases, the irreducible quantum fields, and dynamical symmetry breaking in Symanzik-Nelson positive quantum field theories
inferred← citeshttps://doi.org/10.1016/0003-4916(76)90223-2openalex-snapshot
The Wightman axioms and the mass gap for weakly coupled (ϕ4)3 quantum field theories
inferred← citeshttps://doi.org/10.1016/0370-1573(88)90008-7openalex-snapshot
Triviality pursuit: Can elementary scalar particles exist?
inferred← citeshttps://doi.org/10.1016/0370-2693(94)01640-xopenalex-snapshot
Scaling behavior of the four-point renormalized coupling constant in the two dimensional O(2) and O(3) non-linear sigma models
inferred← citeshttps://doi.org/10.1016/0375-9601(96)00347-7openalex-snapshot
Finite-size scaling of branch-points in lattice models
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.1016/0550-3213(83)90213-4openalex-snapshot
Polymers and g|φ|4 theory in four dimensions
inferred← citeshttps://doi.org/10.1016/j.jfa.2025.110999openalex-snapshot
Esscher transform and the central limit theorem
inferred← citeshttps://doi.org/10.1016/j.jnt.2014.10.003openalex-snapshot
Positive Limit-Fourier transform of Farey fractions
inferred← citeshttps://doi.org/10.1016/j.physrep.2024.05.006openalex-snapshot
A mathematical theory of the critical point of ferromagnetic Ising systems
inferred← citeshttps://doi.org/10.1016/s0096-3003(02)00324-7openalex-snapshot
Laguerre entire functions and the Lee–Yang property
inferred← citeshttps://doi.org/10.1016/s0550-3213(00)00277-7openalex-snapshot
The intrinsic coupling in integrable quantum field theories
inferred← citeshttps://doi.org/10.1023/a:1018611122166openalex-snapshot
Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
inferred← citeshttps://doi.org/10.1023/b:joss.0000028073.49354.9dopenalex-snapshot
Triviality of Hierarchical O(N) Spin Model in Four Dimensions with Large N
inferred← citeshttps://doi.org/10.1063/1.524474openalex-snapshot
Scale limit and low momentum behavior of Euclidean fields. II
inferred← citeshttps://doi.org/10.1063/1.527562openalex-snapshot
On the motion of the first Lee–Yang zero
inferred← citeshttps://doi.org/10.1081/sap-120000217openalex-snapshot
On the paths Hölder continuity in models of Euclidean quantum field theory
inferred← citeshttps://doi.org/10.1088/0305-4470/29/22/018openalex-snapshot
Renormalized coupling constant in the Ising model
inferred← citeshttps://doi.org/10.1090/pspum/076.1/2310196openalex-snapshot
Perspectives in statistical mechanics
inferred← citeshttps://doi.org/10.1090/s0002-9904-1975-13884-5openalex-snapshot
An extension of Khintchine’s inequality
inferred← citeshttps://doi.org/10.1090/s0002-9904-1975-13889-4openalex-snapshot
Concavity of magnetization for a class of even ferromagnets
inferred← citeshttps://doi.org/10.1090/s0002-9939-1976-0434982-5openalex-snapshot
Fourier Transforms with Only Real Zeros
inferred← citeshttps://doi.org/10.1093/imrn/rnab313openalex-snapshot
Khinchin-Type Inequalities via Hadamard’s Factorisation
inferred← citeshttps://doi.org/10.1103/physrevd.24.2599openalex-snapshot
Scale covariance, nonrenormalizable interactions, and high-temperature expansions
inferred← citeshttps://doi.org/10.1103/physrevd.28.1461openalex-snapshot
Monte Carlo study of scale-covariant field theories
inferred← citeshttps://doi.org/10.1103/physrevd.47.2588openalex-snapshot
Studying the continuum limit of the Ising model
inferred← citeshttps://doi.org/10.1103/physreve.65.036131openalex-snapshot
Anomalous scaling and Lee-Yang zeros in self-organized criticality
inferred← citeshttps://doi.org/10.1103/physreve.76.021104openalex-snapshot
Partition function zeros of the one-dimensional Blume-Capel model in transfer matrix formalism
inferred← citeshttps://doi.org/10.1103/physrevlett.100.165706openalex-snapshot
Order Parameter Statistics in the Critical Quantum Ising Chain
inferred← citeshttps://doi.org/10.1103/physrevlett.47.1openalex-snapshot
Proof of the Triviality of ϕd4 Field Theory and Some Mean-Field Features of Ising Models for d>4
inferred← citeshttps://doi.org/10.1112/plms.70023openalex-snapshot
Critical cluster volumes in hierarchical percolation
inferred← citeshttps://doi.org/10.1137/1133098openalex-snapshot
Relations among the Cumulants of Random Fields with Attraction
inferred← citeshttps://doi.org/10.1142/s0217979200001023openalex-snapshot
RENORMALIZATION GROUP METHODS IN CONSTRUCTIVE FIELD THEORIES
inferred← citeshttps://doi.org/10.1142/s0217979205032759openalex-snapshot
STATISTICAL MECHANICS OF EQUILIBRIUM AND NONEQUILIBRIUM PHASE TRANSITIONS: THE YANG–LEE FORMALISM
inferred← citeshttps://doi.org/10.11606/d.43.2008.tde-26082008-093457openalex-snapshot
Teorema Central do Limite para o modelo O(N) de Heisenberg hierárquico na criticalidade e o papel do limite N -> infinito na dinâmica dos zeros de Lee-Yang
inferred← citeshttps://doi.org/10.11606/t.43.2011.tde-25022012-164421openalex-snapshot
Grupo de renormalização na aproximação de potencial local para o modelo O(N) de Heisenberg hierárquico: trajetória crítica e somabilidade da expansão 1/N
inferred← citeshttps://doi.org/10.1214/24-aop1711openalex-snapshot
Central limit theorem for Rényi divergence of infinite order
inferred← citeshttps://doi.org/10.1214/24-ejp1120openalex-snapshot
Strictly subgaussian probability distributions
inferred← citeshttps://doi.org/10.1214/25-aop1782openalex-snapshot
Triviality of the scaling limits of critical Ising and φ4 models with effective dimension at least four
inferred← citeshttps://doi.org/10.1214/25-aos2562openalex-snapshot
Fundamental limits of community detection from multi-view data: Multi-layer, dynamic and partially labeled block models
inferred← citeshttps://doi.org/10.1214/25-ps30openalex-snapshot
Rényi divergences in central limit theorems: Old and new
inferred← citeshttps://doi.org/10.2977/prims/1195179843openalex-snapshot
A Noncommutative Marcinkiewicz Theorem
inferred← citeshttps://doi.org/10.4007/annals.2021.194.1.3openalex-snapshot
Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models
inferred← citeshttps://doi.org/10.48550/arxiv.0804.2704openalex-snapshot
Hierarchical Spherical Model as a Viscosity Limit of Corresponding O(N)Heisenberg Model
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