2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127272We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.Mathematical PhysicsDynamical SystemsChaotic Dynamics81Q50, 81Q20, 37D40,37D35Entropy of eigenfunctionstext