Graphs with positive spectrum
Bobo Hua, Zhiqin Lu
TL;DR
This paper establishes precise decay estimates for nonnegative subharmonic functions on graphs with positive Laplacian spectrum, extending known results from Riemannian manifolds to graph structures.
Contribution
It provides the first sharp $ ext{ell}^2$ decay estimates for such functions on graphs with positive spectrum, broadening the scope of spectral analysis.
Findings
Sharp $ ext{ell}^2$ decay estimates proven
Extension of Li and Wang's results to graphs
Applicable to nonnegative generalized subharmonic functions
Abstract
In this paper, we prove sharp decay estimates of nonnegative generalized subharmonic functions on graphs with positive Laplacian spectrum, which extends the result by Li and Wang on Riemannian manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations