5 citations · 13 across the 13 of their papers we have counts for
14 papers
Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections
Manuel Hauke, Andrei Shubin, Eduard Stefanescu +1
We study problems on covering by shrinking intervals centered at the points , where is a given real-valued sequence and i…
On Inhomogeneous Poissonian Pair Correlations
Manuel Hauke, Agamemnon Zafeiropoulos
We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular,…
On Sequences with Exponentially Distributed Gaps
Christoph Aistleitner, Manuel Hauke, Agamemnon Zafeiropoulos
We disprove a folklore conjecture stating that a sequence in with exponential gap distribution must necessarily be uniformly distributed.
Inhomogeneous Kaufman Measures and Diophantine Approximation
Sam Chow, Agamemnon Zafeiropoulos, Evgeniy Zorin
We introduce an inhomogeneous variant of Kaufman's measure, with applications to diophantine approximation. In particular, we make progress towards a problem related to Littlewood'…
Weak Poissonian Correlations
Manuel Hauke, Agamemnon Zafeiropoulos
We examine a property of sequences called Poissonian pair correlations with parameter (abbreviated as -PPC). We prove that when the property of…
On the order of magnitude of Sudler products II
Sigrid Grepstad, Mario Neumüller, Agamemnon Zafeiropoulos
We study the asymptotic behavior of Sudler products for quadratic irrationals . In particular, we verify the convergence of ce…
Poissonian correlations of higher orders
Manuel Hauke, Agamemnon Zafeiropoulos
We show that any sequence that has Poissonian correlations of -th order is uniformly distributed, also providing a quantitative descri…
Fully Inhomogeneous Multiplicative Diophantine Approximation of Badly Approximable Numbers
Sam Chow, Agamemnon Zafeiropoulos
We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensional set of pairs of badly approximable numbers on a vertical line. We also prove…
On the order of magnitude of Sudler products
Christoph Aistleitner, Niclas Technau, Agamemnon Zafeiropoulos
Given an irrational number , the Sudler product is defined by . Answering a question of Grepstad, Kaltenböck and Neumüller we prove a…
Metric results on summatory arithmetic functions on Beatty sets
Marc Technau, Agamemnon Zafeiropoulos
Let be an arithmetic function and consider the Beatty set associa…
Inhomogeneous Diophantine Approximation on -sets with restricted denominators
Andrew D. Pollington, Sanju Velani, Agamemnon Zafeiropoulos +1
Let be a set that supports a probability measure with the property that for some constant . Let $\mathcal{A}=…
The discrepancy of with respect to certain probability measures
Niclas Technau, Agamemnon Zafeiropoulos
Let be a lacunary sequence of integers. We show that if is a probability measure on such that , then for -almost…
The Duffin-Schaeffer conjecture with extra divergence
Christoph Aistleitner, Thomas Lachmann, Marc Munsch +2
The Duffin-Schaeffer conjecture is a fundamental unsolved problem in metric number theory. It asserts that for every non-negative function fo…
Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero
Victor Beresnevich, Kenneth Falconer, Sanju Velani +1
We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue of Marstrand's Theorem for…