2 papers
math.DS2025
The distribution of the largest digit for parabolic Iterated Function Systems of the interval
Hiroki Takahasi
We investigate the distribution of the largest digit for a wide class of infinite parabolic Iterated Function Systems (IFSs) of the unit interval. Due to the recurrence to paraboli…
math.DS2025
A problem of Hirst for the Hurwitz continued fraction and the Hausdorff dimension of sets with restricted slowly growing digits
Yuto Nakajima, Hiroki Takahasi
We address the problem of determining the Hausdorff dimension of sets consisting of complex irrationals whose complex continued fraction digits satisfy prescribed restrictions and…