Changxing Miao

activity

20242026

most citedOn Onsager's type conjecture for the inviscid Boussinesq equations

6 citations · 6 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.CA2026

The Szemerédi-Trotter Estimate in Finite Field with its Applications

Changxing Miao, Rui Xie

We prove a sharp Szemerédi-Trotter estimate \[\mathcal{I}(A,\mathcal{L})\lesssim \frac{|A||\mathcal{L}|}{p}+|A|^{2/3}|\mathcal{L}|^{2/3}+|A|+|\mathcal{L}|\] for prime finite field…

math.CA2025

Improvement of Pólya's conjecture for balls and cylinders

Jingwei Guo, Changxing Miao, Weiwei Wang +1

Pólya's conjecture on the eigenvalues of the Laplacian has been one of the core problems in spectral geometry. Building upon the recent breakthrough works on Pólya's conjecture for…

math.CA2024

Two-point polynomial patterns in subsets of positive density in $R^{n}$

Xuezhi Chen, Changxing Miao

Let $γ (t) = (P_{1} (t), \dots, P_{n} (t))$ where $P_{i}$ is a real polynomial with zero constant term for each $1 \leq i \leq n$ . We will show the existence of the configuration ${x, x + γ (t)}$ …

The Szemerédi-Trotter Estimate in Finite Field with its Applications

Improvement of Pólya's conjecture for balls and cylinders

Two-point polynomial patterns in subsets of positive density in Rn

Two-point polynomial patterns in subsets of positive density in $R^{n}$