@MISC{Grieser_spectraof, author = {Daniel Grieser}, title = {Spectra of Graph Neighborhoods and Scattering}, year = {} }

Bookmark

OpenURL

Abstract

Let (Gε)ε>0 be a family of ’ε-thin’ Riemannian manifolds modeled on a finite metric graph G, for example, the ε-neighborhood of an embedding of G in some Euclidean space with straight edges. We study the asymptotic behavior of the spectrum of the Laplace-Beltrami operator on Gε as ε → 0, for