Fokker-Planck EquationsExplores Fokker-Planck equations, escape rates, and first passage time analysis in statistical physics.
Doob's MartingaleCovers the concept of Doob's martingale and its properties, including integrability and convergence theorem.
Martingale ConvergenceExplores martingale convergence, discussing the conditions for convergence and variance in martingales.
Doob's Decomposition TheoremCovers Doob's decomposition theorem for submartingales and explores Brownian motion properties, quadratic variation, and continuous martingales.