26 citations · 31 across the 11 of their papers we have counts for
15 papers
The inhomogeneous Khintchine Theorem in dimension two
Demi Allen, Manuel Hauke-Treuer, Felipe A. Ramírez
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…
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…
A survey of recent extensions and generalisations of the Mass Transference Principle
Demi Allen, Edouard Daviaud
In this article we survey some recent extensions and generalisations of the celebrated Mass Transference Principle (Beresnevich and Velani, Annals of Mathematics, 2006).
Inhomogeneous approximation for systems of linear forms with primitivity constraints
Demi Allen, Felipe A. Ramirez
We study (inhomogeneous) approximation for systems of linear forms using integer points which satisfy additional primitivity constraints. The first family of primitivity constraint…
Recurrence rates for shifts of finite type
Demi Allen, Simon Baker, Balázs Bárány
Let be a topologically mixing shift of finite type, let be the usual left-shift, and let be the Gibbs measure for a Hölder continuous potential that i…
Weighted approximation in higher-dimensional missing digit sets
Demi Allen, Benjamin Ward
In this note, we use the mass transference principle for rectangles, recently obtained by Wang and Wu (Math. Ann., 2021), to study the Hausdorff dimension of sets of "weighted -…