Multidimensional continued fractions and a Minkowski function
From MaRDI portal
Publication:938319
DOI10.1007/s00605-008-0535-3zbMath1170.11020arXiv0705.0584OpenAlexW2031777933MaRDI QIDQ938319
Publication date: 19 August 2008
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.0584
tent mapFarey mapSelmer algorithmgeneralized mediant algorithmMinkowski ?-functionMönkemayer mapMönkemeyer algorithm of multidimensional continued fraction
Related Items
A generalized family of multidimensional continued fractions: TRIP Maps, Robust chaos with variable Lyapunov exponent in smooth one-dimensional maps, On Minkowski type question mark functions associated with even or odd continued fractions, Multidimensional continued fractions and symbolic codings of toral translations, A note on the conjugacy from Farey map to the skew tent map, Statistical distribution of the Stern sequence, On integer partitions and continued fraction type algorithms, Semi-regular continued fractions and an exact formula for the moments of the Minkowski question mark function, A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs, Denominator-preserving maps, The Minkowski question mark function: explicit series for the dyadic period function and moments, Generalizing the Minkowski question mark function to a family of multidimensional continued fractions, THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION, A 2-DIMENSIONAL ALGORITHM RELATED TO THE FAREY–BROCOT SEQUENCE, Unnamed Item, Almost everywhere balanced sequences of complexity \(2n + 1\)
Cites Work
- Sets of matrices all infinite products of which converge
- A multidimensional continued fraction and some of its statistical properties
- Farey nets and multidimensional continued fractions
- A new light on Minkowski's \(?(x)\) function
- A two-dimensional Minkowski \(?(x)\) function
- Über Fareynetze in n Dimensionen
