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Properties of measures supported on fat Sierpinski carpets
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Jordan, Thomas and Pollicott, Mark. (2006) Properties of measures supported on fat Sierpinski carpets. Ergodic Theory and Dynamical Systems, Vol.26 (No.3). pp. 739754. ISSN 01433857

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Official URL: http://dx.doi.org/10.1017/S0143385705000696
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 > 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:  01433857 
Official Date:  June 2006 
Volume:  Vol.26 
Number:  No.3 
Page Range:  pp. 739754 
Identification Number:  10.1017/S0143385705000696 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
References:  [1] L. M. Abramov and V. A. Rohlin. The entropy of a skew product of measure preserving transformations. 
URI:  http://wrap.warwick.ac.uk/id/eprint/691 
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