18 citations · 49 across the 19 of their papers we have counts for
4 papers · 2 filters
On generalized Thue-Morse functions and their values
Dzmitry Badziahin, Evgeny Zorin
This paper naturally extends and generalizes our previous work "Thue-Morse constant is not badly approximable", arXiv:1407.3182 [math.NT]. Here we consider the Laurent series $f_d(…
An Unusual Continued Fraction
Dzmitry Badziahin, Jeffrey Shallit
We consider the real number with continued fraction expansion , where is the largest power of divi…
An Inhomogeneous Jarník type theorem for planar curves
Dzmitry Badziahin, Stephen Harrap, Mumtaz Hussain
In metric Diophantine approximation there are two main types of approximations: simultaneous and dual for both homogeneous and inhomogeneous settings. The well known measure-theore…
Cantor-winning sets and their applications
Dzmitry Badziahin, Stephen Harrap
We introduce and develop a class of \textit{Cantor-winning} sets that share the same amenable properties as the classical winning sets associated to Schmidt's -game: these i…