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Dimensional results for Cartesian products of homogeneous Moran sets

Dimensional results for Cartesian products of homogeneous Moran sets M(J, {m s * n s }, {c s }) be the collection of Cartesian products of two homogenous Moran sets with the same ratios {c s } where J = [0, 1]×[0, 1]. Then the maximal and minimal values of the Hausdorff dimensions for the elements in M are obtained without any restriction on {m s n s } or {c s }. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Dimensional results for Cartesian products of homogeneous Moran sets

Acta Mathematicae Applicatae Sinica , Volume 28 (4) – Nov 21, 2012

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-012-0181-3
Publisher site
See Article on Publisher Site

Abstract

M(J, {m s * n s }, {c s }) be the collection of Cartesian products of two homogenous Moran sets with the same ratios {c s } where J = [0, 1]×[0, 1]. Then the maximal and minimal values of the Hausdorff dimensions for the elements in M are obtained without any restriction on {m s n s } or {c s }.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Nov 21, 2012

References