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math.AP2023★ 1 cited
A simple construction of the Anderson operator via its quadratic form in dimensions two and three
Antoine Mouzard, El Maati Ouhabaz
We provide a simple construction of the Anderson operator in dimensions two and three. This is done through its quadratic form. We rely on an exponential transform instead of the r…
math.AP2023
Fractional anisotropic Calderón problem on complete Riemannian manifolds
Mourad Choulli, El Maati Ouhabaz
We prove that the metric tensor of a complete Riemannian manifold is uniquely determined, up to isometry, from the knowledge of a local source-to-solution operator. This later…
math.PR2023
A Lyapunov approach to stability of positive semigroups: An overview with illustrations
Marc Arnaudon, Pierre Del Moral, El Maati Ouhabaz
The stability analysis of possibly time varying positive semigroups on non necessarily compact state spaces, including Neumann and Dirichlet boundary conditions is a notoriously di…