Micromeasure distributions and applications for conformally generated fractals
Micromeasure distributions and applications for conformally generated fractals
复制标题
共形生成分形的微观测量分布和应用
DOI：
--
复制
发表时间：
2015
影响因子：
0.8
通讯作者：
M. Pollicott
中科院分区：
文献类型：
--
作者：
J. Fraser;M. Pollicott
摘要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法尔科纳距离集问题和投影维数中的应用。我们的分析包括双曲Julia集，Schottky群的极限集和图定向自相似集。
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.