Spectra for approximating a real number and its square.

DOI10.1016/j.crma.2004.10.009zbMath1073.11048OpenAlexW2023969277MaRDI QIDQ1763486

Stéphane Fischler

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.10.009

zbMATH Keywords

Sturmian sequencessimultaneous approximationsapproximation exponentspalindrome prefixes

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Simultaneous homogeneous approximation, linear forms (11J13) Automata sequences (11B85)

Related Items (5)

Exponents of Diophantine approximation in dimension 2 for a general class of numbers ⋮ Palindromic prefixes and episturmian words ⋮ On uniform approximation to successive powers of a real number ⋮ Cubic approximation to Sturmian continued fractions ⋮ Going-up theorems for simultaneous Diophantine approximation

Cites Work

• Unnamed Item
• Diophantine approximation
• Limit values of the recurrence quotient of Sturmian sequences
• Approximation to real numbers by cubic algebraic integers. II.
• Transcendence of Sturmian or morphic continued fractions
• Simultaneous approximation to a real number and its square
• Approximation to real numbers by cubic algebraic integers I
• Approximation to real numbers by algebraic integers

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