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SLE
Conformal field theory of Gaussian free fields in a multiply connected domain
We implement a version of conformal field theory (CFT) that gives a connection to SLE in a multiply connected domain. Our approach is …
Tom Alberts
,
Sung-Soo Byun
,
Nam-Gyu Kang
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Kang-Makarov Conformal Field Theory
Short introduction to the Kang-Makarov CFT
Mar 18, 2024 16:00 MDT — 17:00 MDT
Fields Institute
Tom Alberts
The Interplay between Random Geometry and CFT
Explain how ideas in conformal field theory appear in the field of random geometry
Feb 14, 2024 15:00 -0800 — 16:00 -0800
University of Alberta
Tom Alberts
A Gentle Introduction to Kang-Makarov Conformal Field Theory
A simplified introduction to the conformal field theory of Kang and Makarov.
May 25, 2022 08:00 -0900 — 09:00 -0900
Mathematical Sciences Research Institute
Tom Alberts
Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization
We outline a strategy for showing convergence of loop-erased random walk on the $\mathbb{Z}^2$ square lattice to SLE(2), in the …
Tom Alberts
,
Michael Kozdron
,
Robert Masson
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DOI
The Green function for the radial Schramm-Loewner evolution
We prove the existence of the Green function for radial SLE$(\kappa)$ for $\kappa < 8$. Unlike the chordal case where an explicit …
Tom Alberts
,
Michael Kozdron
,
Gregory Lawler
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DOI
The covariant measure of SLE on the boundary
We construct a natural measure $\mu$ supported on the intersection of a chordal SLE$(\kappa)$ curve $\gamma$ with $\mathbb{R}$, in the …
Tom Alberts
,
Scott Sheffield
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DOI
Bridge decomposition of restriction measures
Motivated by Kesten’s bridge decomposition for two-dimensional self-avoiding walks in the upper half plane, we show that the …
Tom Alberts
,
Hugo Duminil-Copin
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DOI
Dimension and measure of SLE on the boundary
Tom Alberts
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Intersection probabilities for a chordal SLE path and a semicircle
We derive a number of estimates for the probability that a chordal SLE$(\kappa)$ path in the upper half plane $\mathbb{H}$ intersects a …
Tom Alberts
,
Michael Kozdron
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