Minh-Quy Pham

activity

20242026

collaborators

4 papers

math.CA2026

On Hausdorff dimensions of $k$ -point configuration sets and Elekes-RÃ³nyai type theorems

Minh-Quy Pham

We prove a ''dimension expansion'' version of the Elekes-RÃ³nyai theorem for trivariate real analytic functions: If $f$ is a trivariate real analytic function, then $f$ is either l…

math.CA2026

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.CA2025

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

Shengze Duan, Minh-Quy Pham, Donggeun Ryou

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

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{…

On Hausdorff dimensions of k-point configuration sets and Elekes-RÃ³nyai 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

On Hausdorff dimensions of $k$ -point configuration sets and Elekes-RÃ³nyai type theorems

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