High Quality Content by WIKIPEDIA articles! In mathematics, quadratic variation is used in the analysis of stochastic processes such as Brownian motion and martingales. Quadratic variation is just one kind of variation of a process. A process X is said to have finite variation if it is has bounded variation over every finite time interval (with probability 1). Such processes are very common including, in particular, all continuously differentiable functions. The quadratic variation exists for all continuous finite variation processes, and is zero. This statement can be generalized to non-continuous processes. Any cadlag finite variation process X has quadratic variation equal to the sum of the squares of the jumps of X.

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