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fractal dimension
Random Geometry in the Spectral Measure of the Circular Beta Ensemble
Random Geometry in the Spectral Measure of the Circular Beta Ensemble
Dec 15, 2022 10:00 +0800 — 11:00 +0800
Korean Institute for Advanced Study
Tom Alberts
Dimension Results for the Spectral Measure of the Circular Beta Ensembles
We study the dimension properties of the spectral measure of the Circular β-Ensembles. For β≥2 it it was previously shown by Simon that …
Tom Alberts
,
Raoul Normand
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DOI
Ideas from KPZ in Directed Polymer Models
KPZ scalings in directed polymer models
Apr 17, 2016 09:00 MDT — 09:30 MDT
North Dakota State University
Tom Alberts
Random Geometry in the Spectral Measure of the Circular Beta Ensemble
Multifractal properties of the Circular Beta Ensemble
Apr 14, 2016 10:00 -0800 — 11:00 -0800
University of California San Diego
Tom Alberts
Random Geometry in the Spectral Measure of the Circular Beta Ensemble
Multifractal properties of the Circular Beta Ensemble
Mar 13, 2016 10:20 -0500 — 10:50 -0500
University of South Florida
Tom Alberts
A dimension spectrum for SLE boundary collisions
We consider chordal SLE$(\kappa)$ curves for $\kappa > 4$, where the intersection of the curve with the boundary is a random fractal …
Tom Alberts
,
Ilia Binder
,
Fredrik Viklund
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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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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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