28:25 duration 28 minutes 25 seconds
Lecture 46: stochastic differential equations
Stochastic differential equations in multidimensional spaces. Existence and uniquess theorem. Nonexistence: explosion time.
01:08:33 duration 1 hour 8 minutes
Lecture 40: local martingales
Definition of local martingale. Construction of the stochastic integral for a process with locally square integrable sample paths.
54:06 duration 54 minutes 6 seconds
Lecture 38: stopped stochastic processes
Stopped stochastic processes. A stopped continuous martingale is a martingale. Properties of stopped stochastic integrals.
01:10:04 duration 1 hour 10 minutes
Lecture 36: stopping times
Definition of stopping time, entrance and exit time. Properties of stopping times.