From the 1 of 9 linked papers with an AI index.
9 papers
Sharp refined-direction Kakeya estimates in finite Heisenberg groups
Thang Pham, Andrea Pinamonti, Dung The Tran +1
Let and let be an odd prime power. The first aim of this paper is to prove that, for every and every , the following sharp…
Distribution of simplices in the discrete and continuous settings
Thang Pham, Chun-Yen Shen, Boqing Xue
In this paper, we study the distribution of simplices in both discrete and continuous settings. Let be an odd prime power, let be a nondegenerate quadratic form on $\mathbb…
On Erdos-Falconer distance problem in even dimensions
Thang Pham, Chun-Yen Shen, Boqing Xue
Let be an odd prime power and be the finite field of order . We prove an extraction theorem for the ErdÅs-Falconer distance conjecture in even dimensions, sh…
Alternative Entropy Bounds for Perfect Matchings in Bipartite Graphs
Yusong Du, Boqing Xue
We refine Radhakrishnan's entropy proof of the Brégman-Minc bound by introducing a terminal-set framework in which selected vertices are revealed last. This gives new degree-sensi…
On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications
Thang Pham, Boqing Xue
The paper develops a new slicing and stopping‑time decomposition technique to break the Stein‑Tomas exponent for the spherical restriction problem over prime fields in four dimensi…
On the distance problem over finite p-adic rings
Thang Pham, Boqing Xue
In this paper, we study the distance problem in the setting of finite p-adic rings. In odd dimensions, our results are essentially sharp. In even dimensions, we clarify the conject…