DIMENSIONS OF SELF-AFFINE FRACTALS AND MULTIFRACTALS GENERATED BY UPPER-TRIANGULAR MATRICES-Reference-Cited by-同舟云学术

DIMENSIONS OF SELF-AFFINE FRACTALS AND MULTIFRACTALS GENERATED BY UPPER-TRIANGULAR MATRICES

Published:2007-09 Issue:03 Volume:15 Page:289-299
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

FALCONER KENNETH¹,MIAO JUN¹

Affiliation:

1. Mathematical Institute, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SS, Scotland, United Kingdom

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 cases.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X07003587

Reference13 articles.

1. Fractal Geometry

2. Fractal Properties of Generalized Sierpiński Triangles

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