29 citations · 64 across the 45 of their papers we have counts for
8 papers · 1 filter
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…
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…
Product of sets on varieties in finite fields
Che-Jui Chang, Ali Mohammadi, Thang Pham +1
Let be a variety in and . It is known that if any line passing through the origin contains a bounded number of points from , then $|\prod(E)|=|\…
Geometric structures in pseudo-random graphs
Thang Pham, Steven Senger, Michael Tait +1
In this paper, we provide a general framework for counting geometric structures in pseudo-random graphs. As applications, our theorems recover and improve several results on the fi…
Group action and -norm estimates of geometric problems
Thang Pham
In 2017, by using the group theoretic approach, Bennett, Hart, Iosevich, Pakianathan, and Rudnev obtained a number of results on the distribution of simplices and sum-product type…
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…