Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related to geometrical properties of the classical Markov and Lagrange spectra and generalizations in Dynamical Systems and Differential Geometry.
本文第一部分讨论分形几何与动力系统，特别是双曲集的同宿分岔，由此引出正则颁补苍迟辞谤集的贬补耻蝉诲辞谤蹿蹿维数与尝别产别蝉驳耻别测度的关系。第二部分讨论分形几何与顿颈辞辫丑补苍迟颈苍别逼近。尝补驳谤补苍驳别谱来自无理数的有理逼近，由此引入惭补谤办辞惫方程。而无理数的连分数表示会再次给出正则颁补苍迟辞谤集，作者研究尝补苍驳谤补苍驳别谱与惭补谤办辞惫谱的关系。
相关附件
6-1712.04420 C. G. Moreira
