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Ergodicity and eigenfunctions of the Laplacian on large regular graphs
N this thesis, we study concentration properties of eigenfunctions of the discrete Laplacian on regular graphs of fixed degree, when the number of vertices tend to... -
Dirichlet eigenvalues of cones in the small aperture limit
We are interested in finite cones of fixed height 1 parametrized by their opening angle. We study the eigenpairs of the Dirichlet Laplacian in such domains when their...
