29 citations · 100 across the 39 of their papers we have counts for
4 papers · 2 filters
On intrinsic and extrinsic rational approximation to Cantor sets
Johannes Schleischitz
We establish various new results on a problem proposed by K. Mahler in 1984 concerning rational approximation to fractal sets by rational numbers inside and outside the set in ques…
Construction of numbers with almost all convergents in a Cantor set
Damien Roy, Johannes Schleischitz
In 1984, K. Mahler asked how well elements in the Cantor middle third set can be approximated by rational numbers from that set, and by rational numbers outside of that set. We con…
On a question of Schmidt and Summerer concerning -systems
Johannes Schleischitz
Following a suggestion of W.M. Schmidt and L. Summerer, we construct a proper -system with the property . In fact, our method generalizes…
The generalised Baker--Schmidt problem on hypersurfaces
Mumtaz Hussain, Johannes Schleischitz, David Simmons
The Generalised Baker--Schmidt Problem (1970) concerns the -dimensional Hausdorff measure of the set of -approximable points on a nondegenerate manifold. There are two varian…