9 citations · 14 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
Stationary random metrics on hierarchical graphs via -type recursive distributional equations
Mikhail Khristoforov, Victor Kleptsyn, Michele Triestino
This paper is inspired by the problem of understanding in a mathematical sense the Liouville quantum gravity on surfaces. Here we show how to define a stationary random metric on s…
Swap action on moduli spaces of polygonal linkages
Mikhail Khristoforov, Gaiane Panina
The basic object of the paper is the moduli space of a closed polygonal linkage either in or in . As was originally suggested by G. Khimsh…
Cesaro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups
Alexander Bufetov, Mikhail Khristoforov, Alexey Klimenko
Cesaro convergence of spherical averages is proven for measure-preserving actions of Markov semigroups and groups. Convergence in the mean is established for functions in , $1…