41 citations · 250 across the 50 of their papers we have counts for
4 papers · 1 filter
Polynomial decay of correlations for nonpositively curved surfaces
Yuri Lima, Carlos Matheus, Ian Melbourne
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove t…
Non-planarity of -orbits of origamis in
Luke Jeffreys, Carlos Matheus
We consider the -orbits of primitive -squared origamis in the stratum . In particular, we consider the 4-valent graphs obtained from the…
Diophantine approximations, Markov and Lagrange spectra and dynamical Cantor sets
Carlos Matheus, Carlos Gustavo Moreira
This text is a slightly expanded version of a survey article on certain aspects of low dimensional dynamics and number theory written after a kind invitation by the editors of the…
Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra
Carlos Matheus, Carlos Gustavo Moreira, Mark Pollicott +1
This paper is dedicated to the study of two famous subsets of the real line, namely Lagrange spectrum and Markov spectrum . Our first result, Theorem 2.1, provides a rigorou…