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Diophantine Analysis of Conformal Iterated Function Systems

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Abstract.

 A formula for the Hausdorff dimension of a subset of the limit set of a conformal infinite iterated function system is derived and expressed as a unique zero of the topological pressure of corresponding strongly Hölder family of functions.

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  1. University of North Texas, Denton, TX, USA, USA

    Mariusz Urbański

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  1. Mariusz Urbański
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Received August 10, 2001; in revised form February 23, 2002

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Urbański, M. Diophantine Analysis of Conformal Iterated Function Systems. Monatsh Math 137, 325–340 (2002). https://doi.org/10.1007/s00605-002-0483-2

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  • DOI: https://doi.org/10.1007/s00605-002-0483-2

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