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

2013/11/21 by De Verdière, Yves Colin
#Analysis of PDEs (math.AP) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1311.5449

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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