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* <math>\tilde{X}</math> is [[sample continuous process|sample continuous]];
* 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 [[Hoelder continuity|<math>\gamma</math>-Hölder continuous]] for every <math>0<\gamma<\tfrac\beta\alpha</math>.
==Example==
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