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math-ph2016★ 2 cited
Lower bounds for the number of nodal domains for sums of two distorted plane waves in non-positive curvature
Maxime Ingremeau
In this paper, we will consider generalised eigenfunctions of the Laplacian on some surfaces of infinite area. We will be interested in lower bounds on the number of nodal domains…
math.AP2016
The semi-classical scattering matrix from the point of view of Gaussian states
Maxime Ingremeau
In this note, we will consider semiclassical scattering for compactly supported non-trapping perturbations of the Laplacian on . We will define a family of Gaussian s…
math-ph2016
Equidistribution of phase shifts in trapped scattering
Maxime Ingremeau
We prove an equidistribution result for the eigenvalues of the scattering matrix associated to an operator of the form , where is a comp…