Jordan, Thomas and Pollicott, Mark (2006) Properties of measures supported on fat Sierpinski carpets. Ergodic Theory and Dynamical Systems, Vol.26 (No.3). pp. 739-754. doi:10.1017/S0143385705000696

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Abstract

In this paper we study certain conformal iterated function schemes in two dimensions that are natural generalizations of the Sierpinski carpet construction. In particular, we consider scaling factors for which the open set condition fails. For such ‘fat Sierpinski carpets’ we study the range of parameters for which the dimension of the set is exactly known, or for which the set has positive measure.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Fractals, Dimension theory (Topology), Dimensional analysis
Journal or Publication Title:	Ergodic Theory and Dynamical Systems
Publisher:	Cambridge University Press
ISSN:	0143-3857
Official Date:	June 2006
Dates:	Date Event June 2006 Published
Volume:	Vol.26
Number:	No.3
Page Range:	pp. 739-754
DOI:	10.1017/S0143385705000696
Status:	Peer Reviewed
Access rights to Published version:	Open Access

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