Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold
Mathematical Physics
2014-02-18 v2 Analysis of PDEs
Combinatorics
math.MP
Abstract
In this paper, I describe the weak limits of the measures associated to the eigenfunctions of the Laplacian on a Quantum graph for a generic metric in terms of the Gauss map of the determinant manifold. I describe also all the limits with minimal support (the "scars").
Keywords
Cite
@article{arxiv.1311.5449,
title = {Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold},
author = {Yves Colin De Verdière},
journal= {arXiv preprint arXiv:1311.5449},
year = {2014}
}
Comments
Annales Henri Poincar\'e (to appear)