01:42:33 duration 1 hour 42 minutes
Lecture 3: “Sandwiched” equations
What drifts allow to consider low values of H in SDE.
01:41:26 duration 1 hour 41 minutes
Lecture 2: Equations with unbounded coefficients…
Lecture 2: Equations with unbounded coefficients and H > 1/2
1. Cox-Ingersoll-Ross equations with fBm. 2. Equations with unbounded drift. 3. Reflected Ornstein-Uhlenbeck equations.
01:22:24 duration 1 hour 22 minutes
Lectures 27-28: the Girsanov theorem and the…
Lectures 27-28: the Girsanov theorem and the martingale representation theorem
Levy's characterization of Brownian motion. Drift transformation in the Brownian motion and the Girsanov theorem. The martingale representation theorem. Representation of densities of…
01:11:16 duration 1 hour 11 minutes
Lecture 14: stochastic differential
Ito processes: stochastic differential and its uniqueness, drift and diffusion terms.