J. Schleischitz

activity

20132026

most citedOn the spectrum of Diophantine approximation constants

29 citations · 100 across the 39 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.NT2022

Dirichlet is not just bad and singular in many rational IFS fractals

Johannes Schleischitz

For $m \geq 2$ , consider $K$ the $m$ -fold Cartesian product of the limit set of an IFS of two affine maps with rational coefficients. If the contraction rates of the IFS are reciproc…

math.NT2022

Dirichlet spectrum for one linear form

Johannes Schleischitz

For $n \geq 2$ , we determine the Dirichlet spectrum in $\Rn$ with respect to a linear form and the maximum norm as the entire interval $[0, 1]$ . This natural result improves on recen…

math.NT2022

Exact uniform approximation and Dirichlet spectrum in dimension at least two

Johannes Schleischitz

For $m \geq 2$ , we determine the Dirichlet spectrum in $\Rm$ with respect to simultaneous approximation and the maximum norm as the entire interval $[0, 1]$ . This complements previou…

math.NT2022★ 2 cited

Metric results on inhomogeneously singular vectors

Johannes Schleischitz

Given $\ut\in\Rm$ and any norm $∥.∥$ on $\Rm$, we consider "inhomogeneously singular" vectors in $\Rm$ that admit an integer vector solution $(q,\underline{p})=(q,p_1,\ldot…