2 papers
math.NT2026
The inhomogeneous Khintchine Theorem in dimension two
Demi Allen, Manuel Hauke-Treuer, Felipe A. RamÃrez
We prove that the inhomogeneous variant of Khintchine's Theorem holds in dimension without any monotonicity assumption. This resolves the last remaining case in the metric theo…
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…