01:37:13 duration 1 hour 37 minutes
Ph.D. course "The mathematics of energy…
Ph.D. course "The mathematics of energy markets" - Lecture 5
Ito processes and Ito-Doeblin formula. Stochastic differential equations. Back to real options in energy markets: an irreversible installation example with market impact, solved with singular…
01:25:22 duration 1 hour 25 minutes
Ph.D. course "The mathematics of energy markets" - Lecture 4
Brownian motion. Nondifferentiability of paths. The stochastic integral and the Ito isometry.
01:22:08 duration 1 hour 22 minutes
Lecture 34: multidimensional stochastic calculus
Multidimensional stochastic integrals: definition, linearity, mean and covariance matrix, martingale property, cross-variation.