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Titlebook: Continuous Martingales and Brownian Motion; Daniel Revuz,Marc Yor Book 19911st edition Springer-Verlag Berlin Heidelberg 1991 Brownian mot

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Generators and Time Reversal,In this chapter, we take up the study of Markov processes. We assume that the reader has read Sect. 1 and 2 in Chap. III.
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,Girsanov’s Theorem and First Applications,In this chapter we study the effect on the space of continuous semimartingales of an absolutely continuous change of probability measure. The results we describe have far-reaching consequences from the theoretical point of view as is hinted at in Sect. 2; they also permit many explicit computations as is seen in Sect. 3.
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Bessel Processes and Ray-Knight Theorems,In this section, we take up the study of Bessel processes which was begun in Sect. 3 of Chap. VI and we use the notation thereof. We first make the following remarks.
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Continuous Martingales and Brownian Motion978-3-662-21726-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
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https://doi.org/10.1007/978-3-322-82955-9r at least of phenomena which can be thought of as a function both of time and of a random factor. Such are for instance the price of certain commodities, the size of some populations, or the number of particles registered by a Geiger counter.
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Hauptspannungen und Trajektorien,red probability space (.,.,.., .) and we suppose that each .. contains all the sets of .-measure zero in .. As a result, any limit (almost-sure, in the mean, etc...) of adapted processes is an adapted process; a process which is indistinguishable from an adapted process is adapted.
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