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Lecture 46: stochastic differential equations

Stochastic differential equations in multidimensional spaces. Existence and uniquess theorem. Nonexistence: explosion time.

From  Tiziano Vargiolu 13 plays 0  

Lecture 40: local martingales

Definition of local martingale. Construction of the stochastic integral for a process with locally square integrable sample paths.

From  Tiziano Vargiolu 25 plays 0  

Lecture 38: stopped stochastic processes

Stopped stochastic processes. A stopped continuous martingale is a martingale. Properties of stopped stochastic integrals.

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Lecture 36: stopping times

Definition of stopping time, entrance and exit time. Properties of stopping times.

From  Tiziano Vargiolu 22 plays 0