Doob's Decomposition TheoremCovers Doob's decomposition theorem for submartingales and explores Brownian motion properties, quadratic variation, and continuous martingales.
Optional Stopping TheoremExplores stopping times, the optional stopping theorem, F-measurable random variables, and martingales.
Turbulent State SymmetriesExplores broken and emerging symmetries in turbulent states, discussing energy cascades, lack of scale invariance, and potential conformal invariance.
