Chengxi Yang

collaborators

3 papers

math.DG2026

Sharp harmonic-mean inequalities for Neumann and Aharonov--Bohm spectra

Daguang Chen, Chengxi Yang

We prove sharp two-eigenvalue isoperimetric inequalities for Neumann and Aharonov--Bohm Neumann spectra on surfaces. If $Ω \subset S^{2}$ is smooth, simply connected and proper…

math-ph2026

Quasi-polynomiality and $N$ -point functions of single connected leaky completed Hurwitz numbers

Chongyu Wang, Chenglang Yang

In this paper, we study the structures of single connected $k$ -leaky $(r + 1)$ -completed Hurwitz numbers. We first prove that, for fixed genus, after extracting an explicit product o…

math.DG2026

Sharp shifted reciprocal sums of Neumann eigenvalues on space forms

Daguang Chen, Chengxi Yang

Let $M_{κ}^{n}$ be the space form of sectional curvature $κ \in {- 1, 0, 1}$ , so that $\mathbb{M}_{-1}^n=\mathbb{H}^n, \mathbb{M}_{0}^n=\mathbb{R}^n, \mathbb{M}_{1}^n=\mathbb{S}^…

Sharp harmonic-mean inequalities for Neumann and Aharonov--Bohm spectra

Quasi-polynomiality and N-point functions of single connected leaky completed Hurwitz numbers

Sharp shifted reciprocal sums of Neumann eigenvalues on space forms

Quasi-polynomiality and $N$ -point functions of single connected leaky completed Hurwitz numbers