29 citations · 64 across the 45 of their papers we have counts for
Showing 2022 · math.CAShow all
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math.CA2022
Discretized sum-product type problems: Energy variants and Applications
Quy Pham, Thang Pham, Chun-Yen Shen
In this paper, we provide estimates for the additive discretized energy of \[\sum_{c\in C} |\{(a_1, a_2, b_1, b_2)\in A^2\times B^2: |(a_1 +cb_1) - (a_2 + cb_2)|\le δ\}|_δ,\] that…
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…
math.CA2022
Radial projection theorems in finite spaces
Ben Lund, Thang Pham, Vu Thi Huong Thu
Motivated by recent results on radial projections and applications to the celebrated Falconer distance problem, we study radial projections in the setting of finite fields. More pr…