Dr Stephen Harrap's Outputs (3)

An Inhomogeneous Jarník type theorem for planar curves (2016)
Journal Article
Badziahin, D., Harrap, S., & Hussain, M. (2017). An Inhomogeneous Jarník type theorem for planar curves. Mathematical Proceedings of the Cambridge Philosophical Society, 163(1), 47-70. https://doi.org/10.1017/s0305004116000712

In metric Diophantine approximation there are classically four main classes of approximations: simultaneous and dual for both homogeneous and inhomogeneous settings. The well known measure-theoretic theorems of Khintchine and Jarník are fundamental t... Read More about An Inhomogeneous Jarník type theorem for planar curves.

A note on weighted badly approximable linear forms (2016)
Journal Article
Harrap, S., & Moshchevitin, N. (2017). A note on weighted badly approximable linear forms. Glasgow Mathematical Journal, 59(2), 349-357. https://doi.org/10.1017/s0017089516000203

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 an affirmative answer to the analogue in this setting of a famous conjecture of Schmidt from... Read More about A note on weighted badly approximable linear forms.

A note on badly approximabe sets in projective space (2016)
Journal Article
Harrap, S., & Hussain, M. (2017). A note on badly approximabe sets in projective space. Mathematische Zeitschrift, 285(1), 239-250. https://doi.org/10.1007/s00209-016-1705-y

Recently, Ghosh and Haynes (J Reine Angew Math 712:39–50, 2016) proved a Khintchine-type result for the problem of Diophantine approximation in certain projective spaces. In this note we complement their result by observing that a Jarník-type result... Read More about A note on badly approximabe sets in projective space.