Minh-Quy Pham

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20222026

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6 papers · 1 filter

math.CA2026

Pinned configuration sets and slicing theorems via Fourier integral operators

Allan Greenleaf, Eyvindur Ari Palsson, Minh-Quy Pham +2

Let $X \subset R^{d_{X}}$ and $Y \subset R^{d_{Y}}$ be open, where $d_{X}, d_{Y} \geq 2$ and $1 \leq p \leq min {d_{X}, d_{Y}}$ . Let $Φ : X \times Y \to R^{p}$ be a smooth mapping, a…

math.CA2026

On Hausdorff dimensions of $k$ -point configuration sets and Elekes-Rónyai type theorems

Minh-Quy Pham

We prove a ''dimension expansion'' version of the Elekes-Rónyai theorem for trivariate real analytic functions: If $f$ is a trivariate real analytic function, then $f$ is either lo…

math.CA2025

On Falconer type functions and the distance set problem

Minh-Quy Pham

We study the distance set problem for pairs of compact sets $A, B \subset R^{n}$ , $n \geq 2$ . We show that if $B$ is contained in a hyperplane and \begin{align*} \dim_{H} A+\d…

math.CA2024

$L^{p}$ -integrability of functions with Fourier supports on fractal sets on the moment curve

Shengze Duan, Minh-Quy Pham, Donggeun Ryou

For $0 < α \leq 1$ , let $E$ be a compact subset of the $d$ -dimensional moment curve in $R^{d}$ such that $N (E, ε) ≲ ε^{- α}$ for $0 < ε < 1$ …

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.CA2022

Pinned simplices and connections to product of sets on paraboloids

Alex Iosevich, Quy Pham, Thang Pham +1

In this paper we obtain improved dimensional thresholds for dot product sets corresponding to compact subsets of a paraboloid. As a direct application of these estimates, we obtain…

Pinned configuration sets and slicing theorems via Fourier integral operators

On Hausdorff dimensions of k-point configuration sets and Elekes-Rónyai type theorems

On Falconer type functions and the distance set problem

Lp-integrability of functions with Fourier supports on fractal sets on the moment curve

Packing sets in Euclidean space by affine transformations

Pinned simplices and connections to product of sets on paraboloids

On Hausdorff dimensions of $k$ -point configuration sets and Elekes-Rónyai type theorems

$L^{p}$ -integrability of functions with Fourier supports on fractal sets on the moment curve