SLE

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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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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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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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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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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Hausdorff dimension of the SLE curve intersected with the real line
We establish an upper bound on the asymptotic probability of an SLE$(\kappa)$ curve hitting two small intervals on the real line as the …
Tom Alberts, Scott Sheffield
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