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Titlebook: Global Analysis in Mathematical Physics; Geometric and Stocha Yuri Gliklikh Book 1997 Springer Science+Business Media New York 1997 Christo

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书目名称Global Analysis in Mathematical Physics
副标题Geometric and Stocha
编辑Yuri Gliklikh
视频video
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Global Analysis in Mathematical Physics; Geometric and Stocha Yuri Gliklikh Book 1997 Springer Science+Business Media New York 1997 Christo
描述The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer­ sity Press in 1989. For its English edition, the book has been substantially revised and expanded. In particular, new material has been added to Sections 19 and 20. I am grateful to Viktor L. Ginzburg for his hard work on the transla­ tion and for writing Appendix F, and to Tomasz Zastawniak for his numerous suggestions. My special thanks go to the referee for his valuable remarks on the theory of stochastic processes. Finally, I would like to acknowledge the support of the AMS fSU Aid Fund and the International Science Foundation (Grant NZBOOO), which made possible my work on some of the new results included in the English edition of the book. Voronezh, Russia Yuri Gliklikh September, 1995 Preface to the Russian Edition The present book is apparently the first in monographic literature in which a common treatment is given to three areas of global analysis previously consid­ ered quite distant from each other, namely, differential geometry and classical mechanics, stochastic differential geometry and statistical and quantum me­ chanics
出版日期Book 1997
关键词Christoffel symbols; Martingale; Semimartingale; Stochastic processes; classical mechanics; diffeomorphis
版次1
doihttps://doi.org/10.1007/978-1-4612-1866-1
isbn_softcover978-1-4612-7317-2
isbn_ebook978-1-4612-1866-1Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1997
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Executive Search and the European Scene,, and [129].) However, we should particularly point out the excellent introductory paper [30] illuminating those aspects of the theory which are especially important for our approach. Some basic notions are briefly reviewed in Appendix C.
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Stochastic Differential Equations on Riemannian Manifolds, and [129].) However, we should particularly point out the excellent introductory paper [30] illuminating those aspects of the theory which are especially important for our approach. Some basic notions are briefly reviewed in Appendix C.
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The Langevin Equationng in geometric mechanics. Note that in the case under consideration the trajectories of the process are a.s. smooth. This makes the analysis of such systems technically much simpler than that of the general ones studied in Chap. 4.
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Mean Derivatives, Nelson’s Stochastic Mechanics, and Quantizationtly, Fenyes [48] was the first to introduce and study such processes. However, stochastic mechanics became well known only after the publication of papers [110] and [111] by Nelson who developed the theory independently and gave it a natural form. A more detailed review of the history of this question can be found in [27], [110], and [113].
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