8 papers
Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets
Félix Brokering Pinilla, Alex Iosevich, Ben Krause
Let , \[ D \subsetneq \{ 0,1,\dots,d-1\}, \qquad |D| \geq 2, \ 0 \in D \] be a finite alphabet, and define the integer Cantor set \begin{align} \mathcal{C} := \mathcal{C}…
Edge complexity of graphs
Vishal Gupta, Alex Iosevich, Joshua Iosevich +2
Gupta and Iosevich introduced the edge complexity of a graph as the minimum Fourier ratio of its adjacency matrix over all vertex labelings and bounded it below by graph energy div…
Packing sets under finite groups via algebraic incidence structures
Norbert Hegyvári, Le Quang Hung, Alex Iosevich +1
Let be a finite group acting on a vector space over a prime field. Given finite sets and , we study the restricted orbit union $…
The Fourier Ratio: Uncertainty, Restriction, and Approximation for Compactly Supported Measures
A. Iosevich, Z. Li, E. Palsson +1
We introduce a continuous analog of the Fourier ratio for compactly supported Borel measures. For a measure \(μ\) on \(\mathbb{R}^d\) and \(f\in L^2(μ)\), the Fourier ratio compa…
Signal recovery using Gabor frames
Ivan Bortnovskyi, June Duvivier, Xiaoyao Huang +9
We present a novel probabilistic framework for the recovery of discrete signals with missing data, extending classical Fourier-based methods. While prior results, such as those of…
Refined additive uncertainty principle
Ivan Bortnovskyi, June Duvivier, Alex Iosevich +8
Signal recovery from incomplete or partial frequency information is a fundamental problem in harmonic analysis and applied mathematics, with wide-ranging applications in communicat…