# Martingale criterion (continuous time)

###### Theorem 1.

Let $X$ be a local martingale. Then $X$ is a continuous martingale iff the set $\{X_{\tau}:\tau\ \text{stopping \ time},\tau\leq c\}$ is uniformly integrable for each $c\geq 0$.

Title Martingale criterion (continuous time) MartingaleCriterioncontinuousTime 2013-03-22 18:54:26 2013-03-22 18:54:26 karstenb (16623) karstenb (16623) 4 karstenb (16623) Theorem msc 60G07 msc 60G48