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fractal dimension
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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Ideas from KPZ in Directed Polymer Models
KPZ scalings in directed polymer models
Apr 17, 2016 09:00 -0600 — 09:30 -0600
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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