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math.DG2025
Spectral gaps for noncompact hyperbolic surfaces with linearly many cusps
Qi Guo, Bobo Hua, Yang Shen
We construct complete finite-area noncompact hyperbolic surfaces with linearly many cusps and a uniform spectral gap. More precisely, for every \(θ>0\), we construct a sequence \(S…
math.DG2023
Liouville theorems for ancient solutions of subexponential growth to the heat equation on graphs
Bobo Hua, Wenhao Yang
Mosconi proved Liouville theorems for ancient solutions of subexponential growth to the heat equation on a manifold with Ricci curvature bounded below. We extend these results to g…