Haohang Zhang

activity

20202026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.DG2024

Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces

Bobo Hua, Florentin Münch, Haohang Zhang

For a bounded Lipschitz domain $Σ$ in a Riemannian surface $M$ satisfying certain curvature condition, we prove that $μ_{3 - β_{1}} \leq λ_{1},$ where $μ_{k}$ ( $λ_{k}$ resp.) is the $k$ -…

math.CO2024

Eigenvalues of the Hodge Laplacian on digraphs

Alexander Grigor'yan, Yong Lin, S. -T. Yau +1

This paper aims to compute and estimate the eigenvalues of the Hodge Laplacians on directed graphs. We have devised a new method for computing Hodge spectra with the following two…

math.SP2024

Connection Laplacian on discrete tori with converging property

Yong Lin, Shi Wan, Haohang Zhang

This paper presents a comprehensive analysis of the spectral properties of the connection Laplacian for both real and discrete tori. We introduce novel methods to examine these eig…