Handbook of Brownian Motion — Facts and Formulae / by Andrei N. Borodin, Paavo Salminen
(Probability and Its Applications)
| データ種別 | 電子ブック |
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| 出版者 | Basel : Birkhäuser Basel : Imprint: Birkhäuser |
| 出版年 | 1996 |
| 本文言語 | 英語 |
| 大きさ | XIV, 465 p : online resource |
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| 内容注記 | I: Theory I. Stochastic processes in general II. Linear diffusions III. Stochastic calculus IV. Brownian motion V. Local time as a Markov process VI. Differential systems associated to Brownian motion Appendix 1. Briefly on some diffusions II: Tables of Distributions of Functionals of Brownian Motion and Related Processes 1. Brownian motion 2. Brownian motion with drift 3. Reflecting Brownian motion 4. Bessel process of order zero 5. Bessel process of order 1/2 6. Bessel process of order v > 0 7. Ornstein-Uhlenbeck process Appendix 2. Special functions |
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| 一般注記 | 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 mention Brownian motion in several dimensions which enters only through the discussion of Bessel processes. On the other hand, much attention is given to the theory of local time |
| 著者標目 | *Borodin, Andrei N. author Salminen, Paavo author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Mathematics FREE:Applications of Mathematics |
| 分 類 | DC23:519 |
| 巻冊次 | ISBN:9783034876520 
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| ISBN | 9783034876520 |
| URL | http://dx.doi.org/10.1007/978-3-0348-7652-0 |
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