Lagrange and Markov spectra for typical smooth systems
Dynamical Systems
2023-11-13 v1
Abstract
We prove that among the set of smooth diffeomorphisms there exists a -open and dense subset of data such that either the Lagrange spectrum is finite and the dynamics is a Morse-Smale diffeomorphism or the Lagrange spectrum has positive Hausdorff dimension and the system has positive topological entropy.
Cite
@article{arxiv.2311.05763,
title = {Lagrange and Markov spectra for typical smooth systems},
author = {Jamerson Bezerra and Carlos Gustavo Moreira and Sandoel Vieira},
journal= {arXiv preprint arXiv:2311.05763},
year = {2023}
}
Comments
31 pages