Open set condition and pseudo Hausdorff measure of self-affine IFSs
نویسندگان
چکیده
منابع مشابه
Equivalence of Positive Hausdorff Measure and the Open Set Condition for Self-conformal Sets
A compact set K is self-conformal if it is a finite union of its images by conformal contractions. It is well known that if the conformal contractions satisfy the “open set condition” (OSC), then K has positive sdimensional Hausdorff measure, where s is the solution of Bowen’s pressure equation. We prove that the OSC, the strong OSC, and positivity of the s-dimensional Hausdorff measure are equ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2020
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/ab7725