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math.AP2014
Perturbation of the semiclassical Schrödinger equation on negatively curved surfaces
Suresh Eswarathasan, Gabriel Riviere
We consider the semiclassical Schrödinger equation on a compact negatively curved surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we look at…
math.AP2014
Expected values of eigenfunction periods
Suresh Eswarathasan
Let be a compact Riemannian surface. Consider a family of normalized Laplace-Beltrami eigenfunctions, written in the semiclassical form ,…