Iterated Cesàro averages, frequencies of digits, and Baire category
From MaRDI portal
Publication:3079941
DOI10.4064/AA144-3-6zbMath1226.11077OpenAlexW2038438084WikidataQ60110272 ScholiaQ60110272MaRDI QIDQ3079941
No author found.
Publication date: 4 March 2011
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/aa144-3-6
Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78)
Related Items (22)
A typical number is extremely non-normal ⋮ Generic property of irregular sets in systems satisfying the specification property ⋮ Non-normal numbers with respect to Markov partitions ⋮ A note on exceptional sets in Erdős-Rényi limit theorem ⋮ Most numbers are not normal ⋮ SOME TOPOLOGICAL RESULTS ON LEVEL SETS AND MULTIFRACTAL SETS ⋮ Average frequencies of digits in infinite IFS's and applications to continued fractions and Lüroth expansions ⋮ On exceptional sets in Erdős-Rényi limit theorem ⋮ Normal Numbers and Symbolic Dynamics ⋮ Non-normal numbers in dynamical systems fulfilling the specification property ⋮ The sets of divergence points of self-similar measures are residual ⋮ Ergodic properties of systems with asymptotic average shadowing property ⋮ The Assouad dimension of randomly generated fractals ⋮ The topological property of the irregular sets on the lengths of basic intervals in beta-expansions ⋮ Topological pressure for the completely irregular set of Birkhoff averages ⋮ Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality ⋮ On exceptional sets in Erdős-Rényi limit theorem revisited ⋮ A note on the rate of returns in random walks ⋮ Points with maximal Birkhoff average oscillation ⋮ THE EXCEPTIONAL SETS ON THE RUN-LENGTH FUNCTION OF β-EXPANSIONS ⋮ Quantitative recurrence properties in the historic set for symbolic systems ⋮ A note on the distribution of the digits in Cantor expansions
This page was built for publication: Iterated Cesàro averages, frequencies of digits, and Baire category
