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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…

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Lecture 44: multidimensional Ito-Doeblin formula

The multidimensional Ito-Doeblin formula

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Lecture 42: multidimensional Ito processes

Multidimensional stochastic integrals and Ito processes. Quadratic variation and cross variation.

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Lecture 16: the Ito-Doeblin formula

Stochastic integral with respect to an Ito process. The Ito-Doeblin formula. Quadratic variation of an Ito process.

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Lecture 14: stochastic differential

Ito processes: stochastic differential and its uniqueness, drift and diffusion terms.

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