On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure.
On a problem of Alfréd Rényi
On a problem of R. C. Baker
On approximation by Lüroth series
Let and be its sequence of Lüroth Series convergents. Define the approximation coefficients by . In [BBDK] the limiting distribution of the sequence was obtained for a.e. using the natural extension of the ergodic system underlying the Lüroth Series expansion. Here we show that this can be done without the natural extension. In fact we will prove that for each is already distributed according to the limiting distribution. Using the natural extension we will study the distribution for...
On metric diophantine approximation of complex numbers, complex continued fractions
On Ramanujan expansions of certain arithmetical functions
On some properties of the Lüroth-type alternating series representations for real numbers.
On the Hausdorff dimension of the expressible set of certain sequences
On the invariant measure for Jacobi-Perron algorithm.
On the maximal run-length function in the Lüroth expansion
We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.
On the theorem of Jarník and Besicovitch
On the Thue-Morse measure
On uniform distribution of sequences
Opérateurs de Ruelle-Mayer généralisés et analyse en moyenne des algorithmes d'Euclide et de Gauss