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RT Book, Whole SR Electronic DC OPAC T1 Handbook of Brownian Motion — Facts and Formulae / by Andrei N. Borodin, Paavo Salminen T2 Probability and Its Applications A1 Borodin, Andrei N. A1 Salminen, Paavo A1 SpringerLink (Online service) YR 1996 FD 1996 SP XIV, 465 p K1 Mathematics K1 Applied mathematics K1 Engineering mathematics K1 Mathematics K1 Applications of Mathematics PB Birkhäuser Basel : Imprint: Birkhäuser PP Basel SN 9783034876520 LA English (英語) CL DC23:519 NO 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 NO 書誌ID=1002995000; LK [E Book]http://dx.doi.org/10.1007/978-3-0348-7652-0 OL 30