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Aug 3, 2023 at 20:13 comment added Thomas Kojar I can understand maybe $X_{s}=Y_{s}$, but the drifts $b_{x}<b_{y}$, would likely just give again $X_{s}\leq Y_{s}$.
Aug 3, 2023 at 20:08 comment added Fawen90 @ThomasKojar No. Knowing $X_t=Y_t$, I wish to show $X_s\ge Y_s$ for $s\le t$. Roughly speaking, knowing the present, does the comparison principle say something about the history?
Aug 3, 2023 at 20:06 comment added Thomas Kojar So then if I understand correctly, your concern is whether this bridging process still satisfies the comparison?
Aug 3, 2023 at 20:06 comment added Thomas Kojar did you mean to write $X_{s}\leq Y_{s}$?
Jul 11, 2023 at 0:06 history edited Michael Hardy CC BY-SA 4.0
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Jul 10, 2023 at 19:26 history edited Fawen90 CC BY-SA 4.0
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Jul 10, 2023 at 18:58 history edited Fawen90 CC BY-SA 4.0
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Jul 10, 2023 at 15:23 history asked Fawen90 CC BY-SA 4.0