Ruelle resonances for geodesic flow

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 3 of 4

Differentiating vector fields: Why do it?

Explores the importance of differentiating vector fields and the correct methodology to achieve it, emphasizing the significance of going beyond the first order.

Smooth sets and functions: Smooth functions, topology, and manifolds

Explores smooth functions on manifolds, emphasizing continuity and atlas topologies.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations near singular points and their relation to compact manifolds.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Smooth sets and functions: Example - atlas for a circle

Covers smooth sets and functions on manifolds, with a focus on constructing an atlas for a circle.

Diophantine Approximation on Manifolds: Lower Bounds

Covers Diophantine approximation on manifolds with a focus on lower bounds.

Local Frames

Covers the concept of local frames, their construction, and limitations.

Context and applications: Simple applications

Delves into optimization on manifolds, showcasing simple applications like finding largest eigenvalues and singular values.

Optimization on Manifolds: Context and Applications

Introduces optimization on manifolds, covering classical and modern techniques in the field.

Retractions, vector fields and tangent bundles: Retractions and vector fields

Introduces retractions and vector fields on manifolds, providing examples and discussing smoothness and extension properties.