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.
Overview
Syllabus
Introduction
General questions
High frequency regime
Eigenmode distribution
Proof
Correspondence Principle
Time evolution
Control by one piece
Beyond this time
Fractal uncertainty principle
Constant curvature
Nonconstant curvature
Taught by
NCCR SwissMAP
