14 citations · 34 across the 5 of their papers we have counts for
10 papers
Schmidt games and Cantor winning sets
Dzmitry Badziahin, Stephen Harrap, Erez Nesharim +1
Schmidt games and the Cantor winning property give alternative notions of largeness, similar to the more standard notions of measure and category. Being intuitive, flexible, and ap…
A note on badly approximabe sets in projective space
Stephen Harrap, Mumtaz Hussain
Recently, Ghosh \& Haynes \cite{HG} proved a Khintchine-type result for the problem of Diophantine approximation in certain projective spaces. In this note we complement their resu…
A problem in non-linear Diophantine approximation
Stephen Harrap, Mumtaz Hussain, Simon Kristensen
In this paper we obtain the Lebesgue and Hausdorff measure results for the set of vectors satisfying infinitely many fully non-linear Diophantine inequalities. The set is associate…
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…
A note on weighted badly approximable linear forms
Stephen Harrap, Nikolay Moshchevitin
We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give a affirmative answer to…