Diophantine approximations, Markov and Lagrange spectra and dynamical\n Cantor sets

2021/05/04 by Carlos Matheus, Matheus, Carlos, Carlos Gustavo Moreira +1
Mathematics · Physics and Astronomy · #11J06 #28A78 #37D20 #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2105.01449

openalex publication_date 2021/05/04 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

This text is a slightly expanded version of a survey article on certain\naspects of low dimensional dynamics and number theory written after a kind\ninvitation by the editors of the Notices of the American Mathematical Society.\n

Related

• Dynamical Systems, Fractal Geometry and Diophantine Approximations
• The Lagrange and Markov spectra from the dynamical point of view
• Topics in homogeneous dynamics and number theory
• Approximation of the Lagrange and Markov spectra
• inf(M L)=3