A new light on Minkowski's \(?(x)\) function
From MaRDI portal
Publication:1277181
DOI10.1006/jnth.1998.2294zbMath0928.11006OpenAlexW2054739821WikidataQ56504985 ScholiaQ56504985MaRDI QIDQ1277181
Lluís Bibiloni, Pelegrí Viader, Jaume Paradís
Publication date: 11 April 1999
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10230/843
Minkowski's question mark functionnormal numbersnumber-theoretic functionasymptotic distribution functionGauss-Kuzmin numbers
Continued fractions (11A55) Arithmetic functions; related numbers; inversion formulas (11A25) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)
Related Items
Word metric, stationary measure and Minkowski's question mark function ⋮ A singular function with a non-zero finite derivative on a dense set ⋮ A study of topological conjugacies between alternate representation systems ⋮ On the derivative of iterations of the Minkowski question mark function at special points ⋮ Riesz--Nágy singular functions revisited ⋮ Minkowski's question mark measure ⋮ Robust chaos with variable Lyapunov exponent in smooth one-dimensional maps ⋮ Singular functions with applications to fractal dimensions and generalized Takagi functions ⋮ Harmonic analysis on the Sierpiński gasket and singular functions ⋮ Derivative of the Minkowski function for numbers with bounded partial quotients ⋮ Pisot numbers and strong negations ⋮ Lyapunov spectrum of Markov and Euclid trees ⋮ A Salem generalised function ⋮ A singular function with a non-zero finite derivative ⋮ Unnamed Item ⋮ On arithmetical nature of Tichy-Uitz's function ⋮ Multidimensional continued fractions and a Minkowski function ⋮ The derivative of the Minkowski function ⋮ A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic ⋮ On the derivative of the Minkowski question mark function \(?(x)\) ⋮ The derivative of Minkowski's \(?(x)\) function ⋮ The unreasonable effectualness of continued function expansions ⋮ Some results for conjugate equations ⋮ The Minkowski question mark function: explicit series for the dyadic period function and moments ⋮ On a family of singular measures related to Minkowski's \(?(x)\) function ⋮ Generalizing the Minkowski question mark function to a family of multidimensional continued fractions ⋮ Random walks in the hyperbolic plane and the Minkowski question mark function ⋮ Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures ⋮ Banach spaces and Banach lattices of singular functions ⋮ Introducing Minkowski normality ⋮ A two-dimensional Minkowski \(?(x)\) function ⋮ THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION ⋮ Differentiability of the Minkowski -function. III ⋮ Differentiability of the Minkowski function . II ⋮ Fibonacci, van der Corput and Riesz-Nágy ⋮ On the derivative of the Minkowski question-mark function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sequences, discrepancies and applications
- On the relation between two Minkowski functions
- On actually computable bijections between \(\mathbb N\) and \(\mathbb Q^+\)
- Constructing singular functions via Farey fractions
- An extension of Minkowski's singular function
- Shorter Notes: On Minkowski's Singular Function
- On Some Singular Monotonic Functions Which Are Strictly Increasing
