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In my seminar, we encountered the process:

$X_t = Y e^{i\omega t}$, $t\in \mathbb R$, $Y$ centered complex random variable with $E|Y|^2 = \sigma < \infty$, $\omega \in \mathbb R$ is a constant

and the supporting materials called this process an elementary process.

Why is this so? In what sense is the process elementary?

Thank you.

Dahn
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    Elementary typically refers to step functions. Is that relevant at all? –  Nov 16 '15 at 18:00
  • @avid19 Well it certainly doesn't seem to be relevant, this process seems to circle around the circle with diameter $Y$, don't see the step function hidden in there – Dahn Nov 16 '15 at 18:02

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