01:49:56 duration 1 hour 49 minutes
Lecture 1: Standard stochastic differential…
Lecture 1: Standard stochastic differential equations with fBm
1. Integration with respect to fBm. 2. Elements of fractional and fractional stochastic calculus. 3. Stochastic differential equations with fBm and smooth coefficients.
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.
33:13 duration 33 minutes 13 seconds
Lecture 23: the Feynman-Kac representation
Links between SDEs and PDEs: the Feynman-Kac representation.
27:33 duration 27 minutes 33 seconds
Lecture 22: Links between SDEs and PDEs
The Kolmogorov backward equation.
42:14 duration 42 minutes 14 seconds
Lecture 20: stochastic differential equations
Definition of strong and of pathwise unique solution, existence and uniqueness theorem.