Geometric properties of the Markov and Lagrange spectra
成果类型：
Article
署名作者：
Moreira, Carlos Gustavo
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2018.188.1.3
发表日期：
2018
页码：
145-170
关键词：
摘要：
We prove several results on (fractal) geometric properties of the classical Markov and Lagrange spectra. In particular, we prove that the Hausdorff dimensions of intersections of both spectra with half-lines always coincide, and we may assume any real value in the interval [0, 1].