34 citations · 91 across the 13 of their papers we have counts for
14 papers
Critical Ising correlations on a torus
Baran Bayraktaroglu, Konstantin Izyurov
We prove convergence of multi-point spin correlations in the critical Ising model on a torus. Via Pfaffian identities, this also implies convergence of other correlations, includin…
Bosonization of primary fields for the critical Ising model on multiply connected planar domains
Baran Bayraktaroglu, Konstantin Izyurov, Tuomas Virtanen +1
We prove bosonization identities for the scaling limits of the critical Ising correlations in finitely-connected planar domains, expressing those in terms of correlations of the co…
Universality of spin correlations in the Ising model on isoradial graphs
Dmitry Chelkak, Konstantin Izyurov, Rémy Mahfouf
We prove universality of spin correlations in the scaling limit of the planar Ising model on isoradial graphs with uniformly bounded angles and Z-invariant weights. Specifically, w…
Energy correlations in the critical Ising model on a torus
Konstantin Izyurov, Antti Kemppainen, Petri Tuisku
We compute rigorously the scaling limit of multi-point energy correlations in the critical Ising model on a torus. For the one-point function, averaged between horizontal and verti…
Correlations of primary fields in the critical Ising model
Dmitry Chelkak, Clément Hongler, Konstantin Izyurov
We prove convergence of renormalized correlations of primary fields, i. e., spins, disorders, fermions and energy densities, in the scaling limit of the critical Ising model in arb…
Asymptotics of the determinant of discrete Laplacians on triangulated and quadrangulated surfaces
Konstantin Izyurov, Mikhail Khristoforov
Consider a surface with a boundary obtained by gluing together a finite number of equilateral triangles, or squares, along their boundaries, equipped with a flat unitary vector…
On multiple SLE for the FK-Ising model
Konstantin Izyurov
We prove convergence of multiple interfaces in the critical planar q = 2 random cluster model, and provide an explicit description of the scaling limit. Remarkably, the expression…
Smirnov's observable for free boundary conditions, interfaces and crossing probabilities
Konstantin Izyurov
We prove convergence results for variants of Smirnov's fermionic observable in the critical Ising model in presence of free boundary conditions. One application of our analysis is…
Critical Ising interfaces in multiply-connected domains
Konstantin Izyurov
We prove a general result on convergence of interfaces in the critical planar Ising model to conformally invariant curves absolutely continuous with respect to SLE(3). Our setup in…
Conformal Invariance of Spin Correlations in the Planar Ising Model
Dmitry Chelkak, Clément Hongler, Konstantin Izyurov
We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary sim…
Holomorphic Spinor Observables in the Critical Ising Model
Dmitry Chelkak, Konstantin Izyurov
We introduce a new version of discrete holomorphic observables for the critical planar Ising model. These observables are holomorphic spinors defined on double covers of the origin…
On SLE martingales in boundary WZW models
Anton Alekseev, Andrei Bytsko, Konstantin Izyurov
We consider the boundary WZW model on a half-plane with a cut growing according to the Schramm-Loewner stochastic evolution and the boundary fields inserted at the tip of the cut a…
Hadamard's formula and couplings of SLEs with free field
Konstantin Izyurov, Kalle Kytölä
The relation between level lines of Gaussian free fields (GFF) and SLE(4)-type curves was discovered by O. Schramm and S. Sheffield. A weak interpretation of this relation is the e…
On one uniqueness theorem for M. Rietz potentials
Konstantin Izyurov
We prove that there exists a nonzero holderian real-to-real function vanishing together with its M. Rietz potential in all points of some set of positive length. This result improv…