| 000 -LEADER |
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| fixed length control field |
01689 a2200229 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20181114153933.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
181114b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9780521760188 |
| 040 ## - CATALOGING SOURCE |
|---|
| Transcribing agency |
IIT Kanpur |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
530.475 |
| Item number |
M842b |
| 100 ## - MAIN ENTRY--AUTHOR NAME |
|---|
| Personal name |
Morters, Peter |
| 245 ## - TITLE STATEMENT |
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| Title |
Brownian motion |
| Statement of responsibility, etc |
Peter Morters and Yuval Peres |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Name of publisher |
Cambridge University Press |
| Year of publication |
2010 |
| Place of publication |
Cambridge |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Number of Pages |
xii, 403p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Cambridge series in statistical and probabilistic mathematics / edited by Z. Ghahramani |
| 500 ## - GENERAL NOTE |
|---|
| General note |
with an appendix by Oded Schramm and Wendelin Werner |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Motion -- Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Peres, Yuval |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
