Search for tag: "stochastic differential equations"

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.

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Lecture 46: stochastic differential equations

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

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Lecture 23: the Feynman-Kac representation

Links between SDEs and PDEs: the Feynman-Kac representation.

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Lecture 22: Links between SDEs and PDEs

The Kolmogorov backward equation.

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Lecture 20: stochastic differential equations

Definition of strong and of pathwise unique solution, existence and uniqueness theorem.

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