Multiple points of dilation-stable Lévy processes
type: Item
instance of: scholarly article
title: Multiple points of dilation-stable Lévy processes
zbMATH Open document ID: 0948.60025
author: Narn-Rueih Shieh
published in: The Annals of Probability
publication date: 2000-11-19T00:00:00Z
review text: The Hausdorff dimension of the set of \(k\)-multiple points is computed for a symmetric Lévy process in \(\mathbb{R}^d\), \(d=2,3\), having independent self-similar components with similarity exponents \(\frac 12< H_j< 1\), \(1\leq j\leq d\). For the case of stable components see \textit{W. J. Hendricks} [Z. Wahrscheinlichkeitstheorie Verw. Geb. 28, 113-128 (1974; Zbl 0258.60028)].
Mathematics Subject Classification ID: 60G17
Mathematics Subject Classification ID: 60G51
Mathematics Subject Classification ID: 60G18
zbMATH DE Number: 1355238
zbMATH Keywords: Lévy processes
zbMATH Keywords: multiple points
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: dilation stability
zbMATH Keywords: self-similarity
reviewed by: Nijolė Kalinauskaitė
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1022855754
OpenAlex ID: W2020294360
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DOI: 10.1214/AOP/1022855754
description: scientific article; zbMATH DE number 1355238