Semi-classical measures on Quantum Graphs and the Gauss map of the determinant manifold
| Autor: | Colin De Verdière, Yves |
|---|---|
| Přispěvatelé: | Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA) |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
FOS: Physical sciences
Mathematical Physics (math-ph) Mathematics::Spectral Theory Mathematics - Analysis of PDEs Quantum Graphs [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 05C50 54J50 81Q10 81Q50 semi-classical measures [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] FOS: Mathematics Mathematics - Combinatorics scars [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Combinatorics (math.CO) Quantum ergodicity Mathematical Physics Analysis of PDEs (math.AP) |
| Zdroj: | Annales Henri Poincaré Annales Henri Poincaré, Springer Verlag, 2015, 16 (2), pp.347-364 |
| ISSN: | 1424-0637 1424-0661 |
| Popis: | 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"). Comment: Annales Henri Poincar\'e (to appear) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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