Micromeasure distributions and applications for conformally generated fractals
classification
🧮 math.DS
math.MG
keywords
setsapplicationsfractalsanalysisconformallydimensionsdistancedistributions
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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.
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