Classical and Dynamical Markov and Lagrange Spectra

DOI10.1142/11965zbMath1484.11001OpenAlexW4230459654MaRDI QIDQ4987852

Carlos Matheus, Carlos Gustavo T.de A. Moreira, Davi Lima, Sergio Augusto Romaña Ibarra

Publication date: 4 May 2021

Full work available at URL: https://doi.org/10.1142/11965

zbMATH Keywords

Cantor setDiophantine approximationHausdorff dimensioncontinued fractionLagrange spectrumMarkov spectrumHall's ray

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Markov and Lagrange spectra and generalizations (11J06) Diophantine approximation in probabilistic number theory (11K60) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Relations between ergodic theory and number theory (37A44) Arithmetic and non-Archimedean dynamical systems (37Pxx)

Related Items (5)

Some arithmetical aspects of renormalization in Teichmüller dynamics: on the occasion of Corinna Ulcigrai winning the Brin Prize ⋮ On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature ⋮ On the Lagrange and Markov dynamical spectra for Anosov flows in dimension 3 ⋮ Dynamical characterization of initial segments of the Markov and Lagrange spectra ⋮ Hausdorff dimension of Gauss-Cantor sets and two applications to classical Lagrange and Markov spectra

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