共形生成分形的微测度分布及其应用
Micromeasure distributions and applications for conformally generated fractals
摘要：
本文研究了自共形分形上有限型子移位的Gibbs测度的标度性及其在Falconer距离集问题和投影维数中的应用。我们的分析包括双曲朱利亚集，Schottky群的极限集和图定向自相似集。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
