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

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

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

Dimension and measure of SLE on the boundary

Tom Alberts

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

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