A. Iosevich

activity

19992025

most citedThe Fuglede Conjecture holds in

Z_{p} \times Z_{p}

46 citations · 413 across the 115 of their papers we have counts for

collaborators

136 papers

math.CA2025

Entropy Expansion for General Polynomial Images of Frostman Random Variables

Alex Iosevich, Thang Pham, Nguyen Dac Quan +2

We prove dyadic entropy expansion for the observables $X + Y$ and $f (X, Y)$ under Frostman nonconcentration hypotheses on a prescribed, possibly dependent law. For an integer $n \geq 1$ ,…

math.CA2024

Fourier Uncertainty Principles on Riemannian Manifolds

Alex Iosevich, Azita Mayeli, Emmett Wyman

The purpose of this paper is to develop a Fourier uncertainty principle on compact Riemannian manifolds and contrast the underlying ideas with those arising in the setting of local…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

math.CA2024

Similar point configurations via group actions

P. Bhowmik, A. Greenleaf, A. Iosevich +2

We prove that for $d \geq 2, k \geq 2$ , if the Hausdorff dimension of a compact set $E \subset R^{d}$ is greater than $\frac{d ^{2}}{2 d - 1}$ , then, for any given $r > 0$ , there exi…

math.CA2024

Multi-linear forms, structure of graphs and Lebesgue spaces

A. Iosevich, E. Palsson, Y. Zhai +1

Consider the operator $T_{K} f (x) = \int_{R^{d}} K (x, y) f (y) d y,$ where $K$ is a locally integrable function or a measure. The purpose of this paper is to study the multi-line…

math.CA2024

A quantitative version of the Steinhaus theorem

Alex Iosevich, Jonathan Pakianathan

The classical Steinhaus theorem (\cite{Steinhaus1920}) says that if $A \subset R^{d}$ has positive Lebesgue measure than $A - A = {x - y : x, y \in A}$ contains an open ball. We obt…