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Micromeasure distributions and applications for conformally generated fractals
Published online by Cambridge University Press: 12 October 2015
Abstract
We study the scaling scenery of Gibbs measures for subshifts of finite type on self-conformal fractals and applications to Falconer's distance set problem and dimensions of projections. Our analysis includes hyperbolic Julia sets, limit sets of Schottky groups and graph-directed self-similar sets.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 3 , November 2015 , pp. 547 - 566
- Copyright
- Copyright © Cambridge Philosophical Society 2015
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