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The Itô integral is defined as the limit of a sum where time is divided into small intervals. In each interval, the value of the stochastic process at the beginning of the interval is multiplied by the increment of the process over that interval.

Conditions: The integrator is a martingale, typically Brownian motion.; The integrand must be adapted to the filtration of the integrator.

The Itô integral is defined as the limit of a sum where time is divided into small intervals. In each interval, the value of the stochastic process at the beginning of the interval is multiplied by the increment of the process over that interval.

Conditions: The integrator is a martingale, typically Brownian motion.; The integrand must be adapted to the filtration of the integrator.

Stochastic Differential Equations (SDEs) are used in finance to model market dynamics, which the video describes as 'the market's dance'.

Conditions: The context is financial modeling.; The explanation is introductory and conceptual.

Stochastic Differential Equations (SDEs) are used in finance to model market dynamics, which the video describes as 'the market's dance'.

Conditions: The context is financial modeling.; The explanation is introductory and conceptual.