3 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
Spectral Geometry of Hurwitz Spaces with Arbitrary Ramification
Jia-Ming, Liou
We study the Friedrichs Laplacian associated with the pullback of the round metric on \(\mb P^1\) by a nonconstant meromorphic function \(φ:X\to\mb P^1\) on a compact Riemann surfa…
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 \(2πn\) at \(0\) and \(\infty\). Using Fourier decomposition, we reduce the eigenvalue equation to a…
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…
An algebraic construction of a solution to the mean field equations on hyperelliptic Curves and its diabatic limit
Jia-Ming Liou, Chih-Chun Liu
In this paper, we give an algebraic construction of the solution to the following mean field equation on a genus hyperelliptic…