Approximations of the Lagrange and Markov spectra

DOI10.1090/mcom/3513zbMath1453.11092arXiv1908.03773OpenAlexW2993451270MaRDI QIDQ5113679

Carlos Gustavo T.de A. Moreira, Vincent Delecroix, Carlos Matheus

Publication date: 15 June 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03773

zbMATH Keywords

periodic orbitsDiophantine approximationMarkov spectrum

Mathematics Subject Classification ID

Markov and Lagrange spectra and generalizations (11J06)

Uses Software

• SageMath
• Matplotlib
• Cython

Cites Work

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• A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets
• Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions
• Incremental Cycle Detection, Topological Ordering, and Strong Component Maintenance
• Faster Algorithms for Incremental Topological Ordering
• A New Approach to Incremental Cycle Detection and Related Problems
• ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE