Great post, I find your blog touch on a wide range of topics most conventional textbooks don’t cover. In fact that’s how I came about this website looking for results working on left right limit processes (more specifically optional semimartingales). I’m wondering if you can point me towards any textbooks or papers which discusses/proves the results in this post on stochastic processes with left right limits and also textbooks that discusses in depth predictive, optional, progressive measurable and adapted processes. Thanks in advance!

Sam

]]>I think that you should change $D(X-Y) = \sum_{k=1}^{\infty} 2^{-k} \wedge D_{k}(X-Y) $ by the formula $D(X-Y) = \sum_{k=1}^{\infty} 2^{-k}(1 \wedge D_{k}(X-Y)) $, because the first formula is always convegent, and this affects the proof of the some theores such as Theorem 2

]]>I think that you should change $D(X-Y) = \sum_{k=1}^{\infty} 2^{-k} \wedge D_{k}(X-Y) $ by the formula $D(X-Y) = \sum_{k=1}^{\infty} 1 \wedge D_{k}(X-Y) $, because the first formula is always convegent, and this affects the proof of the some theores such as Theorem 2

]]>thanks for your notes. They have helped me a lot to understand some abstract parts of Protter’s book.

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