29 citations · 100 across the 39 of their papers we have counts for
5 papers · 1 filter
The set of badly approximable matrices has full Hausdorff dimension
Johannes Schleischitz
Recently Koivusalo, Levesley, Ward and Zhang introduced the set of simultaneously -badly approximable real vectors of with respect to an approximation function $Φ…
On two uniform exponents of approximation related to Wirsing's problem
Johannes Schleischitz
We aim to fill a gap in the proof of an inequality relating two exponents of uniform Diophantine approximation stated in a paper by Bugeaud. We succeed to verify the inequality in…
Dual -adic Diophantine approximation on manifolds
Mumtaz Hussain, Johannes Schleischitz, Benjamin Ward
The Generalised Baker-Schmidt Problem (1970) concerns the Hausdorff measure of the set of -approximable points on a nondegenerate manifold. Beresnevich-Dickinson-Velani (in 2006…
The Baker-Schmidt problem for dual approximation and some classes of functions
Mumtaz Hussain, Johannes Schleischitz
The Generalised Baker-Schmidt Problem (1970) concerns the Hausdorff -measure of the set of -approximable points on a nondegenerate manifold. We refine and extend our previous…
Metrical results on the geometry of best approximations for a linear form
Johannes Schleischitz
Consider the integer best approximations of a linear form in real variables. While it is well-known that any tail of this sequence always spans a lattice is sharp for any…