Hausdorff dimension of invariant \(C\)-vector of \(M\)-matrix and self-affine fractal
type: Item
instance of: scholarly article
title: Hausdorff dimension of invariant \(C\)-vector of \(M\)-matrix and self-affine fractal
zbMATH Open document ID: 1092.28003
author: Ning Jin
author: Stephen Yau
published in: The Asian Journal of Mathematics
publication date: 2005-03-21T00:00:00Z
review text: The authors study a class of self-affine sets in connection with the \(M\)-matrix theory. In Theorem 4.1. can be found a general method to determine the net \(M\)-matrix and in \S 5 is given an example of a plane self-affine set (with overlaps). Next, the lower and upper boundaries of this self-affine set are calculated numerically according to Kenyon and Peres' formulas. Finally its Hausdorff dimension is estimated .
reviewed by: Nicolae-Adrian Secelean
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37C45
zbMATH DE Number: 2148821
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: net \(M\)-matrix
zbMATH Keywords: self-affine fractal
zbMATH Keywords: invariant \(C\)-vector
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2148821