Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum

DOI10.5802/aif.3522zbMath1523.11120arXiv1903.02882OpenAlexW3082510353WikidataQ114013427 ScholiaQ114013427MaRDI QIDQ6040261

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Publication date: 24 May 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02882

zbMATH Keywords

Lagrange spectrumRomik's dynamical systemDiophantine approximation on a manifold

Mathematics Subject Classification ID

Combinatorics on words (68R15) Continued fractions and generalizations (11J70) Markov and Lagrange spectra and generalizations (11J06)

Related Items (1)

Intrinsic Diophantine approximation on circles and spheres

Cites Work

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• Rational approximation on spheres
• On the rational points on the sphere
• Über das Approximationsspektrum des Einheitskreises. (On the approximation spectrum of the unit circle)
• Rationale Approximationen am Einheitskreis
• Diophantine approximation of complex numbers
• Certain words on the real projective line
• Quadratic forms and their Berggren trees
• Coding of geodesics on some modular surfaces and applications to odd and even continued fractions
• On c-minimal forms
• Lagrange spectrum of a circle over the Eisensteinian field
• Odd-odd continued fraction algorithm
• Billiards on Pythagorean triples and their Minkowski functions
• Continued fractions and the Markoff tree
• On palindromes with three or four letters associated to the Markoff spectrum
• Approach to Markoff's minimal forms through modular functions
• Generalized Lyndon words
• Two-color Markoff graph and minimal forms
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• Geometry and Markoff’s spectrum for ℚ(𝕚), I
• Even-Integer Continued Fractions and the Farey Tree
• Christoffel Words and Markoff Triples
• Number theoretical properties of Romik's dynamical system
• The Modular Surface and Continued Fractions
• The dynamics of Pythagorean Triples
• Combinatorics on Words
• Intrinsic Diophantine approximation on manifolds: General theory

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