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most citedGeometric deep learning: going beyond Euclidean data

3.7k citations

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Showing 2006 · math.PRShow all

6 papers · 2 filters

math.PR2006

The norm of products of free random variables

Vladislav Kargin

Let denote free identically-distributed random variables. This paper investigates how the norm of products behaves as approaches infinity. In additi…

math.PR2006★ 82 cited

Conformal radii for conformal loop ensembles

Oded Schramm, Scott Sheffield, David B. Wilson

The conformal loop ensembles CLE(k), defined for k in [8/3, 8], are random collections of loops in a planar domain which are conjectured scaling limits of the O(n) loop models. We…

math.PR2006

Berry-Esseen for Free Random Variables

Vladislav Kargin

An analogue of the Berry-Esseen inequality is proved for the speed of convergence of free additive convolutions of bounded probability measures. The obtained rate of convergence is…

math.PR2006★ 4 cited

On the zero mass limit of tagged particle diffusion in the 1-d Rayleigh-gas

Peter Balint, Balint Toth, Peter Toth

We consider the M -> 0 limit for tagged particle diffusion in a 1-dimensional Rayleigh-gas, studied originaly by Sinai and Soloveichik (1986), respectively by Szasz and Toth (1986)…

math.PR2006★ 8 cited

Exploration trees and conformal loop ensembles

Scott Sheffield

We construct and study the conformal loop ensembles CLE(kappa), defined for all kappa between 8/3 and 8, using branching variants of SLE(kappa) called exploration trees. The confor…

math.PR2006★ 111 cited

Two-Dimensional Critical Percolation: The Full Scaling Limit

Federico Camia, Charles M. Newman

We use SLE(6) paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site…