Does every (particularly continuous) semi-martingale have bounded 2+$\epsilon$-variation for all $\epsilon>0$? Note that I am not asking, whether they have finite quadratic variation - that is clear. I am not sure how to show this and also not sure whether this even holds. If it is not the case, is there an easy counter-example? Any idea is welcome. Thank you very much.
2026-03-27 10:09:22.1774606162
p-variation of semimartingales
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