Bornes sur les nombres de Betti pour les fonctions propres du Laplacien
In this thesis, we will work with the nodal sets of Laplace eigenfunctions on a few simple manifolds, like the sphere and the flat torus. We will obtain bounds on the total Betti number of the nodal set that depend on the corresponding eigenvalue. Our work generalize Courant's theorem. === Dan...
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| Language: | fra |
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2020
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| Online Access: | http://hdl.handle.net/1866/23796 |