Titlebook: Elements of Stochastic Calculus and Analysis; Daniel W. Stroock Textbook 2018 Springer International Publishing AG, part of Springer Natur

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,International Turmoil — 1914–45, any continuous, square integrable martingale . for which one knows that there is a progressively measurable function . which is continuous and non-decreasing in . and for which . is a martingale. At the time, Doob did not know what is now called the Doob–Meyer decomposition theorem, a special case

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,It?’s Approach, and . on some metric space ., a coupling of . to . is a pair of .-valued random variables . on . on some probability space . such that . is the distribution of . and . is the distribution of .. Given such a coupling, one can compare . to . by looking at

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2522-5200 raduate students and research.mathematicians who may be familiar with many of the topics but want to?broaden their understanding of them..978-3-030-08354-0978-3-319-77038-3Series ISSN 2522-5200 Series E-ISSN 2522-5219

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