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

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发表于 2025-3-21 18:53:21 | 显示全部楼层 |阅读模式
书目名称Elements of Stochastic Calculus and Analysis
编辑Daniel W. Stroock
视频video
概述Often written in a more essay form, the text contains many unique insights into the topic.Broadens understanding of the material for advanced grad students and research mathematicians.Includes unique
丛书名称CRM Short Courses
图书封面Titlebook: Elements of Stochastic Calculus and Analysis;  Daniel W. Stroock Textbook 2018 Springer International Publishing AG, part of Springer Natur
描述This book gives a somewhat unconventional introduction to  stochastic analysis.  Although most of the material covered.here has appeared in other places, this book attempts to explain the core ideas on which that material is based.  As a consequence, the presentation is more an extended mathematical essay than a ``definition,.lemma, theorem‘‘ text.  In addition, it includes several topics that are not usually treated elsewhere.  For example,.Wiener‘s theory of homogeneous chaos is discussed, Stratovich integration is given a novel development and applied to derive Wong and Zakai‘s approximation theorem, and examples are given of the application of.Malliavin‘s calculus to partial differential equations.  Each chapter concludes with several exercises, some of which are quite challenging.  The book is intended for use by advanced graduate students and research.mathematicians who may be familiar with many of the topics but want to broaden their understanding of them..
出版日期Textbook 2018
关键词Kolmogorov‘s equations; Ito‘s approach; Markov property; Brownian stochastic integration; Tanaka‘s formu
版次1
doihttps://doi.org/10.1007/978-3-319-77038-3
isbn_softcover978-3-030-08354-0
isbn_ebook978-3-319-77038-3Series ISSN 2522-5200 Series E-ISSN 2522-5219
issn_series 2522-5200
copyrightSpringer International Publishing AG, part of Springer Nature 2018
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发表于 2025-3-21 21:37:42 | 显示全部楼层
Daniel W. StroockOften written in a more essay form, the text contains many unique insights into the topic.Broadens understanding of the material for advanced grad students and research mathematicians.Includes unique
发表于 2025-3-22 02:43:58 | 显示全部楼层
发表于 2025-3-22 08:26:36 | 显示全部楼层
978-3-030-08354-0Springer International Publishing AG, part of Springer Nature 2018
发表于 2025-3-22 10:48:38 | 显示全部楼层
Elements of Stochastic Calculus and Analysis978-3-319-77038-3Series ISSN 2522-5200 Series E-ISSN 2522-5219
发表于 2025-3-22 16:18:58 | 显示全部楼层
Inventory Management in the Supply Chain,In §. we used Itô’s idea to construct a coupling of the measures . in (.). As most readers will have realized, our treatment would have been less cumbersome if we had a notion of integration that allowed me to replace the prescription in (.) by .and allowed me to show that such an expression converges to an expression like
发表于 2025-3-22 18:03:24 | 显示全部楼层
Crises of Management Authority,In this concluding chapter we will take up five topics that are somewhat tangential but nonetheless closely related to those in the preceding chapters.
发表于 2025-3-22 23:44:28 | 显示全部楼层
Brownian Stochastic Integration,In §. we used Itô’s idea to construct a coupling of the measures . in (.). As most readers will have realized, our treatment would have been less cumbersome if we had a notion of integration that allowed me to replace the prescription in (.) by .and allowed me to show that such an expression converges to an expression like
发表于 2025-3-23 01:56:11 | 显示全部楼层
Addenda,In this concluding chapter we will take up five topics that are somewhat tangential but nonetheless closely related to those in the preceding chapters.
发表于 2025-3-23 05:52:23 | 显示全部楼层
Managing the Psychological Contractre parameterized by ., to be thought of as “time,” and take values in some Euclidean space .. When attempting to analyze such a family . of random variables on a probability space ., the first step is to understand the distribution . of .(.) for each .. Thus one is forced to consider paths . in the
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