In this note, the rate of growth of digits in the Lüroth expansion of an irrational number is studied relative to the rate of approximation of the number by its convergents. The Hausdorff dimension of exceptional sets of points with a given relative growth rate is established
We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exac...
This paper presents new upper bounds for irrationality measures of some fast converging series of ra...
Abstract. We investigate from multifractal analysis point of view the increasing rate of the sum of ...
AbstractIn this note we consider the Lüroth expansion of a real number, and we study the Hausdorff d...
summary:We obtain a metrical property on the asymptotic behaviour of the maximal run-length function...
summary:For any $x\in (0,1]$, let $$ x=\frac {1}{d_1}+\frac {1}{d_1(d_1-1)d_2}+\dots +\frac {1}{d_1(...
Abstract. In this note we consider the Lüroth expansion of a real number, and we study the Hausdorf...
In a recent paper of Feng and Sidorov they show that for β∈(1,(1+5√)/2) the set of β-expansions grow...
The theory of uniform Diophantine approximation concerns the study of Dirichlet improvable numbers a...
AbstractWe study the exact rate of convergence of frequencies of digits of “normal” points of a self...
We define a new method of measuring the rate of divergence for an increasing positive sequence of in...
We study the exact rate of convergence of frequencies of digits of "normal" points of a se...
The detailed investigation of the distribution of frequencies of digits of points belonging to attra...
summary:It is well known that every $x\in (0,1]$ can be expanded to an infinite Lüroth series in the...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exac...
This paper presents new upper bounds for irrationality measures of some fast converging series of ra...
Abstract. We investigate from multifractal analysis point of view the increasing rate of the sum of ...
AbstractIn this note we consider the Lüroth expansion of a real number, and we study the Hausdorff d...
summary:We obtain a metrical property on the asymptotic behaviour of the maximal run-length function...
summary:For any $x\in (0,1]$, let $$ x=\frac {1}{d_1}+\frac {1}{d_1(d_1-1)d_2}+\dots +\frac {1}{d_1(...
Abstract. In this note we consider the Lüroth expansion of a real number, and we study the Hausdorf...
In a recent paper of Feng and Sidorov they show that for β∈(1,(1+5√)/2) the set of β-expansions grow...
The theory of uniform Diophantine approximation concerns the study of Dirichlet improvable numbers a...
AbstractWe study the exact rate of convergence of frequencies of digits of “normal” points of a self...
We define a new method of measuring the rate of divergence for an increasing positive sequence of in...
We study the exact rate of convergence of frequencies of digits of "normal" points of a se...
The detailed investigation of the distribution of frequencies of digits of points belonging to attra...
summary:It is well known that every $x\in (0,1]$ can be expanded to an infinite Lüroth series in the...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exac...
This paper presents new upper bounds for irrationality measures of some fast converging series of ra...
Abstract. We investigate from multifractal analysis point of view the increasing rate of the sum of ...
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