Annales Henri Poincaré

, Volume 16, Issue 2, pp 347–364 | Cite as

Semi-Classical Measures on Quantum Graphs and the Gauß Map of the Determinant Manifold

  • Yves Colin de VerdièreEmail author


In this paper, we 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. We describe also all the limits with minimal support (the “scars”).


Manifold Minimal Support Simple Path Smooth Point Simple Cycle 
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© Springer Basel 2014

Authors and Affiliations

  1. 1.Institut Fourier, Unité mixte de recherche CNRS-UJF 5582Université de GrenobleSaint Martin d’Hères CedexFrance

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