Micromeasure distributions and applications for conformally generated fractals

被引：5

作者：

Fraser, Jonathan M. ^{[1
]}

Pollicott, Mark ^{[2
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[2] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2015年 / 159卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

JULIA SETS; HYPERBOLIC DIMENSION; INVARIANT-MEASURES; DISTANCE SETS; SCENERY FLOW; MAPS; PROJECTIONS; GEOMETRY;

D O I：

10.1017/S0305004115000523

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：547 / 566

页数：20

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