Dynamical Systems and Ergodic Theory (PhD 2025)
Course Syllabus
Strong dependence on initial conditions and hyperbolicity (why divination is hard).
Lyapunov exponents and entropy (the basics).
Probability and dynamical systems (measurable dynamical systems)
Qualitative statistical properties of dynamical systems (Ergodic Theory).
Quantitative statistical properties of dynamical systems (CLT and other Limit theorems)
Hyperbolic billiards (an interesting class of examples)
N hard spheres in a box (an open problem).
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