Minh-Quy Pham

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20222026

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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…

Pinned configuration sets and slicing theorems via Fourier integral operators

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

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