Dynamical characterization of initial segments of the Markov and Lagrange spectra

DOI10.1007/s00605-022-01765-3zbMath1498.11158arXiv2010.15291OpenAlexW3096662411WikidataQ114228818 ScholiaQ114228818MaRDI QIDQ2088021

Davi Lima, Carlos Gustavo T.de A. Moreira

Publication date: 21 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15291

zbMATH Keywords

Diophantine approximationhorseshoesregular Cantor setsLagrange dynamical spectrumMarkov dynamical spectrum

Mathematics Subject Classification ID

Continued fractions (11A55) Symbolic dynamics (37B10) Markov and Lagrange spectra and generalizations (11J06)

Related Items (1)

Phase transitions on the Markov and Lagrange dynamical spectra

Cites Work

• The coding for geodesic flows on a modular surface
• Geometric properties of the Markov and Lagrange spectra
• Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra
• Phase transitions on the Markov and Lagrange dynamical spectra
• On the sum and product of continued fractions
• On the minima of Markov and Lagrange Dynamical Spectra
• Classical and Dynamical Markov and Lagrange Spectra
• On the Lagrange and Markov dynamical spectra
• Differentiable dynamical systems
• Sums of regular Cantor sets, dynamics and applications to number theory
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