Lectures related to Resonances for Hyperbolic Cylinders

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Explores the spectrum of hyperbolic surfaces, focusing on Fuchsian groups and their actions.

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

Explores stability properties and fixed points in discrete time solutions.

Explores vector equations, observation points, and normal equations in a plane.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

By the instructor Malo Jézéquel explores Möbius transformations and bounded distortion in SL(2, R).

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Explores the convergence of fixed point methods and the implications of different convergence rates.

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Explores geometric surfaces, rules between shapes, and architectural applications.

Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.