48 citations · 174 across the 42 of their papers we have counts for
4 papers · 1 filter
Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits
Emmanuel Humbert, Yannick Privat, Emmanuel Trélat
We provide new geometric and spectral characterizations for a Riemannian manifold to be a Zoll manifold, i.e., all geodesics of which are periodic. We analyze relationships with in…
How locating sensors in thermo-acoustic tomography?
Maïtine Bergounioux, Elie Bretin, Yannick Privat
Thermo-acoustic tomography is a non-invasive medical imaging technique, constituting a precise and cheap alternative to X-imaging. The principle is to excite a body to reconstruct…
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
Yannick Privat, Emmanuel Trélat, Enrique Zuazua
We consider a spectral optimal design problem involving the Neumann traces of the Dirichlet-Laplacian eigenfunctions on a smooth bounded open subset of . The cost functio…
Optimal control of resources for species survival
Idriss Mazari, Grégoire Nadin, Yannick Privat
Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficie…