Steven Senger

activity

20242026

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3 papers · 1 filter

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

Pinned Dot Product Set Estimates

Paige Bright, Caleb Marshall, Steven Senger

We study a variant of the Falconer distance problem for dot products. In particular, for fractal subsets $A \subset R^{n}$ and $a, x \in R^{n}$ , we study sets of the for…

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…