Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2013

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

Yves Colin de Verdière

Résumé

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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Dates et versions

hal-00907569 , version 1 (21-11-2013)
hal-00907569 , version 2 (15-02-2014)

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Yves Colin de Verdière. Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold. 2013. ⟨hal-00907569v1⟩

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