General finite type IFS and \(M\)-matrix
type: Item
instance of: scholarly article
title: General finite type IFS and \(M\)-matrix
zbMATH Open document ID: 1101.28006
author: Ning Jin
author: Stephen Yau
published in: Communications in Analysis and Geometry
publication date: 2006-03-29T00:00:00Z
review text: The authors generalize the concept finite type IFS used to study the Hausdorff dimension of self-similar sets without open set condition (OSC). By applying the \(M\)-matrix theory (an \(M\)-matrix is a matrix whose entries are finite sets of mappings on \(\mathbb{R}^d\)), the authors define the general finite type IFS, removed in this way some restrictions for IFS. It is calculated the Hausdorff dimension of the associated attractors of a family of IFS with three parameters, without OSC.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37C45
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 5015986
zbMATH Keywords: Hausdorff dimension
reviewed by: Nicolae-Adrian Secelean
MaRDI profile type: Publication
DOI: 10.4310/CAG.2005.V13.N4.A8
description: scientific article; zbMATH DE number 5015986