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Titlebook: Handbook of Brownian Motion; Andrei N. Borodin,Paavo Salminen Book 19961st edition Birkhäuser Basel 1996 Bessel process.Brownian motion.Fu

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书目名称Handbook of Brownian Motion
编辑Andrei N. Borodin,Paavo Salminen
视频video
丛书名称Probability and Its Applications
图书封面Titlebook: Handbook of Brownian Motion;  Andrei N. Borodin,Paavo Salminen Book 19961st edition Birkhäuser Basel 1996 Bessel process.Brownian motion.Fu
描述There are two parts in this book. The first part is devoted mainly to the proper­ ties of linear diffusions in general and Brownian motion in particular. The second part consists of tables of distributions of functionals of Brownian motion and re­ lated processes. The primary aim of this book is to give an easy reference to a large number of facts and formulae associated to Brownian motion. We have tried to do this in a "handbook-style". By this we mean that results are given without proofs but are equipped with a reference where a proof or a derivation can be found. It is our belief and experience that such a material would be very much welcome by students and people working with applications of diffusions and Brownian motion. In discussions with many of our colleagues we have found that they share this point of view. Our original plan included more things than we were able to realize. It turned out very soon when trying to put the plan into practice that the material would be too wide to be published under one cover. Excursion theory, which most of the recent results concerning linear Brownian motion and diffusions can be classified as, is only touched upon slightly here, not to
出版日期Book 19961st edition
关键词Bessel process; Brownian motion; Fusion; derivation; distribution; form; function; functional; local time; pr
版次1
doihttps://doi.org/10.1007/978-3-0348-7652-0
isbn_ebook978-3-0348-7652-0Series ISSN 2297-0371 Series E-ISSN 2297-0398
issn_series 2297-0371
copyrightBirkhäuser Basel 1996
The information of publication is updating

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书目名称Handbook of Brownian Motion被引频次




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Probability and Its Applicationshttp://image.papertrans.cn/h/image/420926.jpg
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Birkhäuser Basel 1996
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Topics in Factorization of Abelian GroupsWe adopt here the general approach to linear diffusions as presented in the book by K. Itô and H.P. McKean which appeared in 1965. References are made to the second printing from 1974.
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Introduction to Metric Fixed Point Theory,Having defined linear diffusions (cf. No. II.1), . . = {. : t ≥ 0}can be defined as a linear diffusion on ℝ with the speed measure .(.) = 2 . and the scale function .(.) = .. This is equivalent to saying that the infinitesimal generator of . is the second order differential operator . acting on the domain .. For the basic data of . see No. A1.1.
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Fiber Optic Fluorescence Thermometry,For a given . > 0 let .: ℝ ↦ ℝ, . : [0, .] × ℝ ↦ ℝ. and . : [0, .] × ℝ ↦ ℝ be continuous functions. Assume also that . and . are bounded. If, moreover, . and . are locally uniformly (in .) Hölder continuous, the . (cf. No. II.24) says that . is the unique solution of the problem ..
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