Ergodic Theory: ChaosExplores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.
Dynamical Systems: Lecture 2Introduces dynamical systems, covering modeling, laws of motion, linearity, time invariance, and external forces.
Probability ConvergenceExplores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.