On the fractional dimension of sets of continued fractions
From MaRDI portal
Publication:4346283
DOI10.1112/S0025579300011955zbMath0884.11028OpenAlexW2161091006MaRDI QIDQ4346283
Publication date: 1 April 1998
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0025579300011955
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70)
Related Items (44)
On new fractal phenomena connected with infinite linear IFS ⋮ The relative growth rate of the largest digit in continued fraction expansions ⋮ Upper and lower fast Khintchine spectra in continued fractions ⋮ On upper and lower fast Khintchine spectra of continued fractions ⋮ METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS ⋮ Multifractal analysis of the convergence exponent in continued fractions ⋮ ON THE INCREASING PARTIAL QUOTIENTS OF CONTINUED FRACTIONS OF POINTS IN THE PLANE ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ Hausdorff dimension of certain sets arising in Engel expansions ⋮ A note on the relative growth of products of multiple partial quotients in the plane ⋮ The distribution of the large partial quotients in continued fraction expansions ⋮ Variations autour d'un théorème métrique de Khintchine ⋮ On the error-sum function of pierce expansions ⋮ Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions ⋮ A note on approximation efficiency and partial quotients of Engel continued fractions ⋮ Hausdorff dimension of sets with restricted, slowly growing partial quotients ⋮ Divergence points with fast growth orders of the partial quotients in continued fractions ⋮ Metrical properties of the large products of partial quotients in continued fractions ⋮ Cantor sets determined by partial quotients of continued fractions of Laurent series ⋮ Hausdorff dimension of an exceptional set in the theory of continued fractions ⋮ HAUSDORFF DIMENSIONS OF SOME EXCEPTIONAL SETS IN THE FIRST OSTROGRADSKY SERIES ⋮ SET OF EXTREMELY DIRICHLET NON-IMPROVABLE POINTS ⋮ Metrical properties for the weighted sums of degrees of multiple partial quotients in continued fractions of Laurent series ⋮ Metric properties of the product of consecutive partial quotients in continued fractions ⋮ Dimensions of certain sets of continued fractions with non-decreasing partial quotients ⋮ Unnamed Item ⋮ The Hausdorff dimension of certain sets in a class of \(\alpha \)-Lüroth expansions ⋮ Range-renewal structure in continued fractions ⋮ Hausdorff dimension of certain sets arising in continued fraction expansions ⋮ How the dimension of some \(\mathrm{GCF}_{\varepsilon}\) sets change with proper choice of the parameter function \(\varepsilon(k)\) ⋮ On the digits of Schneider's \(p\)-adic continued fractions ⋮ Full dimensional sets of reals whose sums of partial quotients increase in certain speed ⋮ Non-autonomous conformal iterated function systems and Moran-set constructions ⋮ Doubling metric Diophantine approximation in the dynamical system of continued fractions ⋮ On the hitting depth in the dynamical system of continued fractions ⋮ A generalization of the Jarník–Besicovitch theorem by continued fractions ⋮ Some exceptional sets of Borel-Bernstein theorem in continued fractions ⋮ A remark on continued fractions with sequences of partial quotients ⋮ Uniformly non–improvable Dirichlet set via continued fractions ⋮ A dimensional result in continued fractions ⋮ The fractional dimensional theory in Lüroth expansion ⋮ On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients ⋮ Limit theorems for sums of products of consecutive partial quotients of continued fractions ⋮ THE SETS OF DIFFERENT CONTINUED FRACTIONS WITH THE SAME PARTIAL QUOTIENTS
Cites Work
This page was built for publication: On the fractional dimension of sets of continued fractions