Renormalization of Hénon maps

Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.