Micromeasure distributions and applications for conformally generated fractals
Dynamical Systems
2015-10-28 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.1502.05609,
title = {Micromeasure distributions and applications for conformally generated fractals},
author = {Jonathan M. Fraser and Mark Pollicott},
journal= {arXiv preprint arXiv:1502.05609},
year = {2015}
}
Comments
17 pages, 1 figure