34 citations · 197 across the 26 of their papers we have counts for
26 papers
Universality of the conformal anomaly
Sid Maibach, Eveliina Peltola
The sewing operation is the fundamental algebraic structure of the (infinite-dimensional) Segal moduli spaces as the conformal cobordism category. We prove a universal property of…
Level lines of the Gaussian free field and degenerate conformal blocks
Alex Karrila, Eveliina Peltola, Lukas Schoug
We consider Gaussian free field (GFF) on simply connected domains with piecewise constant Dirichlet boundary data. We show that the crossing probabilities for its level lines are d…
Complex deformations of the circle: Group cohomology and Virasoro uniformization
Sid Maibach, Eveliina Peltola
We approach the question of complexification of the diffeomorphism group of the circle by considering real-analytic maps from the circle into the punctured complex plane with windi…
Irregular SLE(4) martingales and isomonodromic deformations
Harini Desiraju, Aleksandra Korzhenkova, Eveliina Peltola
We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the si…
Uniform spanning trees and random matrix statistics
Nathanaël Berestycki, Marcin Lis, Mingchang Liu +1
We consider a uniform spanning tree in a -square grid approximation of a planar domain . For given integer , we condition the tree on the following -arm event: we…
Multiradial SLE with spiral: resampling property and boundary perturbation
Chongzhi Huang, Eveliina Peltola, Hao Wu
We consider multiple radial Schramm-Loewner evolution (SLE) curves with various time parameterizations and possible spiraling behavior. We construct them by tilting independent rad…
Planar UST Branches and Degenerate Boundary Correlations
Alex Karrila, Augustin Lafay, Eveliina Peltola +1
We provide a conformal field theory (CFT) description of the probabilistic model of boundary effects in the wired uniform spanning tree (UST) and its algebraic content, concerning…
Fused Specht Polynomials and Degenerate Conformal Blocks
Augustin Lafay, Eveliina Peltola, Julien Roussillon
We introduce a class of polynomials that we call fused Specht polynomials and use them to characterize irreducible representations of the fused Hecke algebra with parameter …
Multiple SLEs for : Coulomb gas integrals and pure partition functions
Yu Feng, Mingchang Liu, Eveliina Peltola +1
In this article, we give an explicit relationship of SLE partition functions with Coulomb gas formalism of conformal field theory. We first construct a family of SLE partition…
On the spin interface distribution for non-integrable variants of the two-dimensional Ising model
Rafael L. Greenblatt, Eveliina Peltola
We point out that the construction of a martingale observable describing the spin interface of the two-dimensional Ising model extends to a class of non-integrable variants of the…
From the Conformal Anomaly to the Virasoro Algebra
Sid Maibach, Eveliina Peltola
The conformal anomaly and the Virasoro algebra are fundamental aspects of 2D conformal field theory and conformally covariant models in planar random geometry. In this article, we…
Connection Probabilities of Multiple FK-Ising Interfaces
Yu Feng, Eveliina Peltola, Hao Wu
We find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the critical planar FK-Ising model, thus verifying predict…
Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in Logarithmic CFT
Mingchang Liu, Eveliina Peltola, Hao Wu
We find explicit SLE(8) partition functions for the scaling limits of Peano curves in the uniform spanning tree (UST) in topological polygons with general boundary conditions. They…
Higher-spin quantum and classical Schur-Weyl duality for
Steven M. Flores, Eveliina Peltola
It is well-known that the commutant algebra of the -action on the -fold tensor product of its fundamental module is isomorphic to the Temperley-Lieb algebr…
Large deviations of multichordal SLE, real rational functions, and zeta-regularized determinants of Laplacians
Eveliina Peltola, Yilin Wang
We prove a strong large deviation principle (LDP) for multiple chordal SLE curves with respect to the Hausdorff metric. In the single-chord case, this result strengthens an…
Towards a conformal field theory for Schramm-Loewner evolutions
Eveliina Peltola
We discuss the partition function point of view for chordal Schramm-Loewner evolutions and their relationship with correlation functions in conformal field theory. Both are closely…
Generators, projectors, and the Jones-Wenzl algebra
Steven M. Flores, Eveliina Peltola
We investigate a subalgebra of the Temperley-Lieb algebra called the Jones-Wenzl algebra, which is obtained by action of certain Jones-Wenzl projectors. This algebra arises natural…
Crossing Probabilities of Multiple Ising Interfaces
Eveliina Peltola, Hao Wu
We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invari…
Standard modules, radicals, and the valenced Temperley-Lieb algebra
Steven M. Flores, Eveliina Peltola
This article concerns a generalization of the Temperley-Lieb algebra, important in applications to conformal field theory. We call this algebra the valenced Temperley-Lieb algebra.…
On the Uniqueness of Global Multiple SLEs
Vincent Beffara, Eveliina Peltola, Hao Wu
This article focuses on the characterization of global multiple Schramm-Loewner evolutions (SLE). The chordal SLE describes the scaling limit of a single interface in various criti…
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…
Global and Local Multiple SLEs for and Connection Probabilities for Level Lines of GFF
Eveliina Peltola, Hao Wu
This article pertains to the classification of multiple Schramm-Loewner evolutions (SLE). We construct the pure partition functions of multiple SLE with and relat…
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…
Basis for solutions of the Benoit & Saint-Aubin PDEs with particular asymptotic properties
Eveliina Peltola
Applying the quantum group method developed in [KP20], we construct solutions to the Benoit & Saint-Aubin partial differential equations with boundary conditions given by specific…