88 citations · 552 across the 26 of their papers we have counts for
29 papers
How long are the arms in DBM?
Ilya Losev, Stanislav Smirnov
Diffusion Limited Aggregation and its generalization, Dielectric Breakdown model play an important role in physics, approximating a range of natural phenomena. Yet little is known…
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…
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…
Discrete stress-energy tensor in the loop O(n) model
Dmitry Chelkak, Alexander Glazman, Stanislav Smirnov
We study the loop model on the honeycomb lattice. By means of local non-planar deformations of the lattice, we construct a discrete stress-energy tensor. For , i…