32 citations · 86 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
Configurations of FK Ising interfaces and hypergeometric SLE
Antti Kemppainen, Stanislav Smirnov
In this paper, we show that the interfaces in FK Ising model in any domain with 4 marked boundary points and wired--free--wired--free boundary conditions conditioned on a specific…
Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE
Antti Kemppainen, Stanislav Smirnov
In the second article of this series, we establish the convergence of the loop ensemble of interfaces in the random cluster Ising model to a conformal loop ensemble (CLE) --- thus…
Conformal invariance of boundary touching loops of FK Ising model
Antti Kemppainen, Stanislav Smirnov
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at criticality, as the lattice mesh tends to zero, to a unique conformally invariant…
Convergence of Ising interfaces to Schramm's SLE curves
Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler +2
We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm's SLE…
Random curves, scaling limits and Loewner evolutions
Antti Kemppainen, Stanislav Smirnov
In this paper, we provide a framework of estimates for describing 2D scaling limits by Schramm's SLE curves. In particular, we show that a weak estimate on the probability of an an…