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Titlebook: Continuous Martingales and Brownian Motion; Daniel Revuz,Marc Yor Book 1999Latest edition Springer-Verlag Berlin Heidelberg 1999 Bessel pr

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发表于 2025-3-21 18:38:33 | 显示全部楼层 |阅读模式
书目名称Continuous Martingales and Brownian Motion
编辑Daniel Revuz,Marc Yor
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Continuous Martingales and Brownian Motion;  Daniel Revuz,Marc Yor Book 1999Latest edition Springer-Verlag Berlin Heidelberg 1999 Bessel pr
描述From the reviews: "This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research...".Bull.L.M.S. 24, 4 (1992) Since the first edition in 1991, an impressive variety of advances has been made in relation to the material of this book, and these are reflected in the successive editions.
出版日期Book 1999Latest edition
关键词Bessel process; Brownian motion; Ergodic theory; Markov process; Martingale; Martingales; Stochastic Integ
版次3
doihttps://doi.org/10.1007/978-3-662-06400-9
isbn_softcover978-3-642-08400-3
isbn_ebook978-3-662-06400-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1999
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发表于 2025-3-21 23:21:10 | 显示全部楼层
Continuous Martingales and Brownian Motion978-3-662-06400-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
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,Controlling für öffentliche Verwaltungen,rocesses which arise naturally in its study, are Markov processes; they even have the strong Markov property which is used in many applications. This chapter is also the occasion to introduce the Brownian filtrations which will appear frequently in the sequel.
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Erfolgreiches Beziehungsmanagement,In this chapter, we review a few basic facts, mainly from integration and classical probability theories, which will be used throughout the book without further ado. Some other prerequisites, usually from calculus, which will be used in some special parts are collected in the Appendix at the end of the book.
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,Vision und Wandel — Eine Fallstudie,With Itô’s formula, we saw how ..-functions operate on continuous semimartingales. We now extend this to convex functions, thus introducing the important notion of local time.
发表于 2025-3-23 09:26:09 | 显示全部楼层
,Vision und Wandel — Eine Fallstudie,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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