Palindromic prefixes and Diophantine approximation

DOI10.1007/s00605-006-0425-5zbMath1124.11032arXivmath/0509508OpenAlexW1989895227MaRDI QIDQ2385080

Stéphane Fischler

Publication date: 11 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0509508

zbMATH Keywords

Sturmian wordsminimal pointsFibonacci wordpalindrome prefixesSimultaneous approximationD. RoyH. DavenportW.M. Schmidt

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Continued fractions and generalizations (11J70) Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Markov and Lagrange spectra and generalizations (11J06)

Related Items (18)

Exponents of Diophantine approximation in dimension 2 for a general class of numbers ⋮ Reciprocal Sum of Palindromes ⋮ A connection between palindromic and factor complexity using return words ⋮ Palindromic prefixes and episturmian words ⋮ Episturmian words: a survey ⋮ On uniform approximation to successive powers of a real number ⋮ Cubic approximation to Sturmian continued fractions ⋮ On the least number of palindromes contained in an infinite word ⋮ Simultaneous rational approximation to successive powers of a real number ⋮ On the quasi-palindromic \(p\)-adic Ruban continued fractions ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Markoff-Lagrange spectrum and extremal numbers ⋮ Unnamed Item ⋮ Palindromic continued fractions ⋮ Longest arithmetic progressions of palindromes ⋮ Palindromic richness ⋮ On the ring of approximation triples attached to a class of extremal real numbers ⋮ Exponents of Diophantine approximation in dimension 2 for numbers of Sturmian type

Cites Work

• Palindromic prefixes and episturmian words
• Diophantine approximation
• Limit values of the recurrence quotient of Sturmian sequences
• Transcendence of Sturmian or morphic continued fractions
• Approximation to real numbers by cubic algebraic integers I

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