4 citations · 7 across the 5 of their papers we have counts for
6 papers
Degenerate band edges in periodic quantum graphs
Gregory Berkolaiko, Minh Kha
Edges of bands of continuous spectrum of periodic structures arise as maxima and minima of the dispersion relation of their Floquet--Bloch transform. It is often assumed that the e…
Liouville-Riemann-Roch theorems on abelian coverings
Minh Kha, Peter Kuchment
The classical Riemann-Roch theorem has been extended by N. Nadirashvili and then M. Gromov and M. Shubin to computing indices of elliptic operators on compact (as well as non-compa…
Polynomial-like elements in vector spaces with group actions
Minh Kha, Vladimir Lin
In this paper, we study polynomial-like elements in vector spaces equipped with group actions. We first define these elements via iterated difference operators. In the case of a fu…
A short note on additive functions on Riemannian co-compact coverings
Minh Kha
The main purpose of this note is to provide a topological approach to defining additive functions on Riemannian co-compact normal coverings.
Green's function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds
Minh Kha
The main results of this article provide asymptotics at infinity of the Green's functions near and at the spectral gap edges for "generic" periodic second-order elliptic operators…
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior
Minh Kha, Peter Kuchment, Andrew Raich
Precise asymptotics known for the Green function of the Laplacian have found their analogs for bounded below periodic elliptic operators of the second-order below and at the bottom…