Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold

preprint2014arXivOpen access

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").

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