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Monodromy of non-selfadjoint operators
We propose to build in this thesis a combinatorial invariant, called the "spectral monodromy" from the spectrum of a single (non-selfadjoint) h-pseudodifferential... -
On the spectrum of the magnetic Schrödinger operator in a dihedral domain
This thesis analyses the spectrum of magnetic Schrödinger operators with constant magnetic field in dihedral domains. In order to understand how a curved edge... -
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...
