Boqing Xue

activity

20242026

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2026

Sharp refined-direction Kakeya estimates in finite Heisenberg groups

Thang Pham, Andrea Pinamonti, Dung The Tran +1

Let $n \geq 2$ and let $q$ be an odd prime power. The first aim of this paper is to prove that, for every $E \subset H_{n} (F_{q})$ and every $λ > 0$ , the following sharp…

math.CA2026

On the finite field spherical restriction conjecture in four dimensions: the sharp endpoint and applications

Thang Pham, Boqing Xue

Let $p$ be an odd prime. We prove the sharp extension estimate $R_{S_{j}}^{*} (2 \to r) ≲_{r} 1$ for every sphere of nonzero radius $S_{j} \subseteq F_{p}^{4}$ and every $r \geq 3$ , u…

math.CA2025

Entropy Expansion for General Polynomial Images of Frostman Random Variables

Alex Iosevich, Thang Pham, Nguyen Dac Quan +2

We prove dyadic entropy expansion for the observables $X + Y$ and $f (X, Y)$ under Frostman nonconcentration hypotheses on a prescribed, possibly dependent law. For an integer $n \geq 1$ ,…