Delocalization of the Laplace Eigenmodes on Anosov Surfaces

Delocalization of the Laplace Eigenmodes on Anosov Surfaces

Explore the intricacies of Laplace eigenmodes on Anosov surfaces in this comprehensive lecture from the Analytic techniques in Dynamics and Geometry series. Delve into high-frequency regimes, eigenmode distribution, and the Correspondence Principle. Examine time evolution, fractal uncertainty principles, and the differences between constant and nonconstant curvature. Gain insights into advanced mathematical concepts through a structured approach, covering general questions, proof techniques, and specific applications in dynamic systems and geometric analysis.