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Properties of measures supported on fat Sierpinski carpets

By Thomas Jordan and Mark Pollicott

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

Topics: QA
Publisher: Cambridge University Press
Year: 2006
OAI identifier: oai:wrap.warwick.ac.uk:691

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Citations

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