Dimensions of Fractals Generated by Bi-Lipschitz Maps

On the class of iterated function systems of bi-Lipschitz mappings that are contractions with respect to some metrics, we introduce a logarithmic distortion property, which is weaker than the well-known bounded distortion property. By assuming this property, we prove the equality of the Hausdorff an...

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Bibliographic Details
Main Authors: Qi-Rong Deng, Sze-Man Ngai
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/549741
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