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arxiv: 1311.5449 · v2 · pith:BBCF3UFJnew · submitted 2013-11-21 · 🧮 math-ph · math.AP· math.CO· math.MP

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

classification 🧮 math-ph math.APmath.COmath.MP
keywords describedeterminantgausslimitsmanifoldmeasuresquantumassociated
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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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