Intersections of Translation of a Class of Self-Affine Sets

Jian Lu; Yuru Zou; Lijing Wang

doi:10.1155/2013/953082

Journal of Applied Mathematics (Jan 2013)

Intersections of Translation of a Class of Self-Affine Sets

Jian Lu,
Yuru Zou,
Lijing Wang

Affiliations

Jian Lu: College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China
Yuru Zou: College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China
Lijing Wang: College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

DOI: https://doi.org/10.1155/2013/953082
Journal volume & issue: Vol. 2013

Abstract

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Intersections of translation of a class of self-affine sets are investigated by constructing sofic affine-invariant sets which coincide with these sets and then a scheme for computing the Hausdorff dimensions of these intersections is given.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

About the journal