10 citations · 13 across the 14 of their papers we have counts for
4 papers · 1 filter
Supercritical sharpness for the random cluster representation of real-valued spin models
Trishen S. Gunaratnam, Dmitry Krachun, Christoforos Panagiotis +2
We study the supercritical regime of a large family of real-valued spin models on , including the Blume-Capel and models. We consider their random clust…
Critical exponents for planar random-cluster model with cluster-weight
Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4
Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…
Rotational invariance in critical planar lattice models
Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun +2
We prove that the large-scale properties of a number of two-dimensional lattice models are rotationally invariant. More precisely, we prove that the random-cluster model on the squ…
On random partitions induced by random maps
Dmitry Krachun, Yuri Yakubovich
The lattice of the set partitions of ordered by refinement is studied. Given a map , by taking preimages of elements we construct a partition of …