A. Iosevich

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20242026

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5 papers · 1 filter

math.CA2026

Frostman random variables, entropy inequalities, and applications

Alex Iosevich, Thang Pham, Nguyen Dac Quan +2

We introduce Frostman conditions for bivariate random variables and study discretized entropy sum-product phenomena in both independent and dependent settings. Fix $0 < s < 1$ , and…

math.CA2025

Realizing trees of configurations in thin sets

Allan Greenleaf, Alex Iosevich, Krystal Taylor

Let $I ¨ (x, y)$ be a continuous function, smooth away from the diagonal, such that, for some $I^\pm > 0$ , the associated generalized Radon transforms \begin{equation} \label{Radon} R_t^Ï…

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

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…