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
Edition1st ed.
Publication InfoBerlin ; Boston : De Gruyter, ©2012.
Descriptionxiv, 380 pages : illustrations ; 24 cm.
Subjects

SeriesDe 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 noteIncludes bibliographical references and index.
LCCN 2012007045
ISBN9783110278897 (pbk. : alk. paper)
ISBN3110278898 (pbk. : alk. paper)
ISBN9783110278989 (e-book)
ISBN3110278987 (e-book)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA274.75 .S35 2012 ✔ Available Place Hold