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Line 12: * for every time <math>t \geq 0</math>, <math>\mathbb{P} (X_t = \tilde{X}_t) = 1.</math> Furthermore, the paths of <math>\tilde{X}</math> are ~~almost surely~~ locally [[Hölder continuity\|<math>\gamma</math>-Hölder-continuous]] for every <math>0<\gamma<\tfrac\beta\alpha</math>. ==Example==

Kolmogorov continuity theorem: Difference between revisions