9 citations · 10 across the 3 of their papers we have counts for
3 papers
math.PR2023
A generalization of Cardy's and Schramm's formulae
Mikhail Khristoforov, Mikhail Skopenkov, Stanislav Smirnov
We study critical site percolation on the triangular lattice. We find the difference of the probabilities of having a percolation interface to the right and to the left of two give…
math.PR2021★ 1 cited
Percolation and loop model
Mikhail Khristoforov, Stanislav Smirnov
We present an "ultimate" proof of Cardy's formula for the critical percolation on the hexagonal lattice \cite{Smirnov01criticalpercolation}, showing the existence of the universal…
math-ph2020★ 9 cited
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…