136 citations · 253 across the 11 of their papers we have counts for
10 papers · 1 filter
Slit-strip Ising boundary conformal field theory 1: Discrete and continuous function spaces
Taha Ameen, Kalle Kytölä, S. C. Park +1
This is the first in a series of articles about recovering the full algebraic structure of a boundary conformal field theory (CFT) from the scaling limit of the critical Ising mode…
Conformal blocks, -combinatorics, and quantum group symmetry
Alex Karrila, Kalle Kytölä, Eveliina Peltola
In this article, we find a -analogue for Fomin's formulas. The original Fomin's formulas relate determinants of random walk excursion kernels to loop-erased random walk partitio…
Boundary correlations in planar LERW and UST
Alex Karrila, Kalle Kytölä, Eveliina Peltola
We find explicit formulas for the probabilities of general boundary visit events for planar loop-erased random walks, as well as connectivity events for branches in the uniform spa…
Pure partition functions of multiple SLEs
Kalle Kytölä, Eveliina Peltola
Multiple Schramm-Loewner Evolutions (SLE) are conformally invariant random processes of several curves, whose construction by growth processes relies on partition functions: Möbius…
Conformally covariant boundary correlation functions with a quantum group
Kalle Kytölä, Eveliina Peltola
Particular boundary correlation functions of conformal field theory are needed to answer some questions related to random conformally invariant curves known as Schramm-Loewner evol…
SLE boundary visits
Niko Jokela, Matti Järvinen, Kalle Kytölä
We study the probabilities with which chordal Schramm-Loewner Evolutions (SLE) visit small neighborhoods of boundary points. We find formulas for general chordal SLE boundary visit…
Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure
Clément Hongler, Fredrik Johansson Viklund, Kalle Kytölä
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin, Polyakov, and Zamolodchikov [BPZ84a]. Both exhibit e…
Hadamard's formula and couplings of SLEs with free field
Konstantin Izyurov, Kalle Kytölä
The relation between level lines of Gaussian free fields (GFF) and SLE(4)-type curves was discovered by O. Schramm and S. Sheffield. A weak interpretation of this relation is the e…
LERW as an example of off-critical SLEs
Michel Bauer, Denis Bernard, Kalle Kytola
Two dimensional loop erased random walk (LERW) is a random curve, whose continuum limit is known to be a Schramm-Loewner evolution (SLE) with parameter kappa=2. In this article we…
Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales
Michel Bauer, Denis Bernard, Kalle Kytola
A statistical mechanics argument relating partition functions to martingales is used to get a condition under which random geometric processes can describe interfaces in 2d statist…