Turbulent State SymmetriesExplores broken and emerging symmetries in turbulent states, discussing energy cascades, lack of scale invariance, and potential conformal invariance.
Ergodic Theory: ChaosExplores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.
Percolation: Bond PercolationCovers bond percolation on a square lattice, discussing percolation phases, critical threshold, mean cluster size, and critical point scenarios.
Introduction to Quantum ChaosCovers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.