Lectures related to Ergodic properties of low complexity symbolic systems

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Introduces Banach spaces for maximal entropy in billiard maps, discussing spectral bounds, norms, and measure construction.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.