Lectures related to Unit Tangent Bundle of Hyperbolic Spaces

Covers hypothesis testing with Gaussian noise and the standard Gaussian distribution.

By Emre Telatar explores binary hypothesis testing and decision rule design.

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers retractions, tangent bundles, and embedded submanifolds on manifolds with proofs and examples.

Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.

Covers projection, rotation, white Gaussian noise, and waveform observation in linear algebra.