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scientific article; zbMATH DE number 6870600

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 6870600

Statements

scholarly article

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Vincent Beffara

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Hugo Duminil-Copin

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publication date

18 May 2018

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zbMATH Keywords

Bernoulli and Fortuin-Kasteleyn percolation

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critical point

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phase transition

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Curie temperature

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Ising model

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Potts model

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random-cluster model

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MaRDI profile type

MaRDI publication profile

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On weak mixing in lattice models

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Mixing properties and exponential decay for lattice systems in finite volumes.

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The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\)

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The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\)

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Smirnov's fermionic observable away from criticality

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On the critical parameters of the<i>q</i>≤ 4 random-cluster model on isoradial graphs

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Conformal invariance of crossing probabilities for the Ising model with free boundary conditions

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The critical probability for random Voronoi percolation in the plane is 1/2

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A SHORT PROOF OF THE HARRIS–KESTEN THEOREM

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The influence of variables in product spaces

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Density and uniqueness in percolation

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Fluctuation theory of connectivities for subcritical random cluster models

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Crossing probabilities in topological rectangles for the critical planar FK-Ising model

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Convergence of Ising interfaces to Schramm's SLE curves

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Conformal invariance of spin correlations in the planar Ising model

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Holomorphic spinor observables in the critical Ising model

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Discrete complex analysis on isoradial graphs

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Universality in the 2D Ising model and conformal invariance of fermionic observables

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On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\)

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Potential theory on a rhombic lattice

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Divergence of the correlation length for critical planar FK percolation with 1 ⩽<i>q</i>⩽ 4 via parafermionic observables

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Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model

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Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\)

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Conformal invariance of lattice models

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The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\)

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Correlation inequalities on some partially ordered sets

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Influences in Product Spaces: KKL and BKKKL Revisited

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Every monotone graph property has a sharp threshold

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Gibbs measures and phase transitions

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Influence and sharp-threshold theorems for monotonic measures

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The Random-Cluster Model

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Inhomogeneous bond percolation on square, triangular and hexagonal lattices

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Universality for bond percolation in two dimensions

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Bond percolation on isoradial graphs: criticality and universality

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Ising interfaces and free boundary conditions

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Beitrag zur Theorie des Ferromagnetismus

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The Laplacian and Dirac operators on critical planar graphs

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The critical probability of bond percolation on the square lattice equals 1/2

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Statistics of the Two-Dimensional Ferromagnet. Part I

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Statistics of the Two-Dimensional Ferromagnet. Part II

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Interfaces in the Potts model. I: Pirogov-Sinai theory of the Fortuin- Kasteleyn representation

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Values of Brownian intersection exponents. I: Half-plane exponents

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Values of Brownian intersection exponents. II: Plane exponents

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Conformal invariance of planar loop-erased random walks and uniform spanning trees.

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Discrete Riemann surfaces and the Ising model.

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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On Ising's model of ferromagnetism

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Basic properties of SLE

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A note on percolation

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On the critical percolation probabilities

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Scaling limits of loop-erased random walks and uniform spanning trees

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Percolation Probabilities on the Square Lattice

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Towards conformal invariance of 2D lattice models

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Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4641983

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