3 papers
math.PR2021
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…
math-ph2020
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…
math.CV2007
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…