Brownian motion : an introduction to stochastic processes / by René L. Schilling, Lothar Partzsch.
| Author/creator | Schilling, René L. |
| Other author | Partzsch, Lothar, 1945- |
| Format | Book |
| Edition | 1st ed. |
| Publication Info | Berlin ; Boston : De Gruyter, ©2012. |
| Description | xiv, 380 pages : illustrations ; 24 cm. |
| Subjects |
| Series | De Gruyter graduate De Gruyter graduate. ^A1154585 |
| Contents | Robert Brown's new thing -- Brownian motion as a Gaussian process -- Constructions of Brownian motion -- The canonical model -- Brownian motion as a martingale -- Brownian motion as a Markov process -- Brownian motion and transition semigroups -- The PDE connection -- The variation of Brownian paths -- Regularity of Brownian paths -- Strassen's functional law of the iterated logarithm -- Skorokhod representation -- Stochastic integrals: L²-theory -- Stochastic integrals: beyond -- Itô's formula -- Application of Itô's formula -- Stochastic differential equations -- On diffusions -- Simulation of Brownian motion / Björn Böttcher -- Appendixes: A.1. Kolmogorov's existence theorem -- A.2. A property of conditional expectations -- A.3. From discrete to continuous time martigales -- A.4. Stopping and sampling -- A.5. Remarks on Feller processes -- A.6. The Doob-Meyer decomposition -- A.7. BV functions and Riemann-Stieltjes integrals -- A.8. Some tools from analysis. |
| Bibliography note | Includes bibliographical references and index. |
| LCCN | 2012007045 |
| ISBN | 9783110278897 (pbk. : alk. paper) |
| ISBN | 3110278898 (pbk. : alk. paper) |
| ISBN | 9783110278989 (e-book) |
| ISBN | 3110278987 (e-book) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA274.75 .S35 2012 | ✔ Available | Place Hold |