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math.DG2026
An Explicit Model for Conic Laplacians on \(\mb P^1\)
Jia-Ming, Liou
We study an explicit model of a conic Laplacian on \(\mb P^1\) with cone angle \(2Ïn\) at \(0\) and \(\infty\). Using Fourier decomposition, we reduce the eigenvalue equation to a…
math.DG2025
Asymptotic Expansion of the Gaussian Integral Operators on Riemannian submanifolds of
Jia-Ming, Liou, Chi-Chien Lu
The Gaussian integral operator arises naturally as a local Euclidean approximation of the heat semigroup on a Riemannian manifold and plays a pivotal role in the analysis of graph…