On the minima of Markov and Lagrange Dynamical Spectra
Dynamical Systems
2018-06-07 v3
Abstract
We consider typical Lagrange and Markov dynamical spectra associated to horseshoes on surfaces. We show that for a large set of real functions on the surface, the minima of the corresponding Lagrange and Markov dynamical spectra coincide and are given by the image of a periodic point of the dynamics by the real function. This solves a question by Jean-Christophe Yoccoz.
Keywords
Cite
@article{arxiv.1711.01565,
title = {On the minima of Markov and Lagrange Dynamical Spectra},
author = {Carlos Gustavo T. de A. Moreira},
journal= {arXiv preprint arXiv:1711.01565},
year = {2018}
}