A dimension spectrum for SLE boundary collisions
type: Item
instance of: scholarly article
title: A dimension spectrum for SLE boundary collisions
zbMATH Open document ID: 1342.82015
author: Tom Alberts
author: Ilia Binder
author: Fredrik Johansson Viklund
published in: Communications in Mathematical Physics
publication date: 2016-04-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1501.06212
review text: The authors consider a multifractal spectrum describing the fine geometry of the Schramm-Loewner evolution \((\mathrm{SLE}_k, k>4)\) curves, where the intersection of the curve with the boundary is a random fractal of almost sure Hausdorff dimension \(\min\{2-8/k,1\}\). It is proved that this fractal can be decomposed into a family of sets of smaller dimensions according to the ``angle'' at which the curve hits the boundary. Two-point correlation estimates are proved using the direct method.
reviewed by: Golibjon Isroilovich Botirov
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 60J67
Mathematics Subject Classification ID: 82B24
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 6571699
zbMATH Keywords: Schramm-Loewner evolution
zbMATH Keywords: first-moment estimates
zbMATH Keywords: correlation estimate
MaRDI profile type: Publication
OpenAlex ID: W1553393825
arXiv ID: 1501.06212
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DOI: 10.1007/S00220-016-2587-X
description: scientific article; zbMATH DE number 6571699