11 citations · 14 across the 4 of their papers we have counts for
5 papers
Dimensions of certain sets of continued fractions with non-decreasing partial quotients
Lulu Fang, Jihua Ma, Kunkun Song +1
Let be the continued fraction expansion of . This paper is concerned with certain sets of continued fractions with non-decreasing partia…
Some exceptional sets of Borel-Bernstein Theorem in continued fractions
Lulu Fang, Jihua Ma, Kunkun Song
Let denote the continued fraction expansion of a real number . This paper is concerned with certain exceptional sets of the Borel-Bern…
Multifractal analysis of the convergence exponent in continued fractions
Fang Lulu, Song Kunkun
Let be a real number and denote its continued fraction expansion by . The convergence exponent of these partial quotients is defined a…
Fourier decay rate of coin-tossing type measures
Xiang Gao, Jihua Ma, Kunkun Song +1
The Fourier decay rate of a coin-tossing type measure is investigated. Explicit estimation is given. Our method relies upon a classical result of Hartman and Kershner. As an applic…
Level sets of multiple ergodic averages
Fan Ai-Hua, Lingmin Liao, Ji-Hua Ma
We propose to study multiple ergodic averages from multifractal analysis point of view. In some special cases in the symbolic dynamics, Hausdorff dimensions of the level sets of mu…