2 papers
math.NT2025
A quantitative framework for sets of exact approximation order by rational numbers
Simon Baker, Benjamin Ward
In this paper we study a quantitative notion of exactness within Diophantine approximation. Given and satisfying $\lim_{q\to\…
math.DS2025
Rectangular Shrinking Targets on Self-Similar Carpets
Demi Allen, Thomas Jordan, Benjamin Ward
Since the introduction of the shrinking target problem by Hill and Velani in 1995 there has been a surge of interest in the area. In this paper we consider the case where the targe…