English

The Lagrange and Markov spectra from the dynamical point of view

Dynamical Systems 2017-03-07 v1

Abstract

This text grew out of my lecture notes for a 4-hours minicourse delivered on October 17 \& 19, 2016 during the research school "Applications of Ergodic Theory in Number Theory" -- an activity related to the Jean-Molet Chair project of Mariusz Lema\'nczyk and S\'ebastien Ferenczi -- realized at CIRM, Marseille, France. The subject of this text is the same of my minicourse, namely, the structure of the so-called Lagrange and Markov spectra (with an special emphasis on a recent theorem of C. G. Moreira).

Keywords

Cite

@article{arxiv.1703.01748,
  title  = {The Lagrange and Markov spectra from the dynamical point of view},
  author = {Carlos Matheus},
  journal= {arXiv preprint arXiv:1703.01748},
  year   = {2017}
}

Comments

27 pages, 6 figures. Survey article