Dimensions of self-affine fractals and multifractals generated by upper triangular matrices

Kenneth John Falconer; Jun Miao

doi:10.1142/S0218348X07003587

Dimensions of self-affine fractals and multifractals generated by upper triangular matrices

Kenneth John Falconer, Jun Miao

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider calculation of the dimensions of self-affine fractals and multifractals that are the attractors of iterated function systems specified in terms of upper-triangular matrices. Using methods from linear algebra, we obtain explicit formulae for the dimensions that are valid in many

Original language	English
Pages (from-to)	289-299
Number of pages	11
Journal	Fractals
Volume	15
Issue number	3
DOIs	https://doi.org/10.1142/S0218348X07003587
Publication status	Published - Sept 2007

Keywords

fractals
multifractals
self-affine
HAUSDORFF

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10.1142/S0218348X07003587

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abstract = "We consider calculation of the dimensions of self-affine fractals and multifractals that are the attractors of iterated function systems specified in terms of upper-triangular matrices. Using methods from linear algebra, we obtain explicit formulae for the dimensions that are valid in many",

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AB - We consider calculation of the dimensions of self-affine fractals and multifractals that are the attractors of iterated function systems specified in terms of upper-triangular matrices. Using methods from linear algebra, we obtain explicit formulae for the dimensions that are valid in many

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KW - multifractals

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KW - HAUSDORFF

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UR - http://www.worldscinet.com/cgi-bin/details.cgi?id=voliss:fractals_1503&type=toc

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DO - 10.1142/S0218348X07003587

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JO - Fractals

JF - Fractals

IS - 3

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Dimensions of self-affine fractals and multifractals generated by upper triangular matrices

Abstract

Keywords

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