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Brownian Motion : an Introduction to Stochastic Processes.

Stochastic processes occur in a large number of fields in sciences and engineering, so they need to be understood by applied mathematicians, engineers and scientists alike. This work is ideal for a first course introducing the reader gently to the subject matter of stochastic processes. It uses Brow...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schilling, René L.
Otros Autores: Partzsch, Lothar, Böttcher, Björn
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2012.
Colección:De Gruyter textbook.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Schilling, René L. 
245 1 0 |a Brownian Motion :  |b an Introduction to Stochastic Processes. 
260 |a Berlin :  |b De Gruyter,  |c 2012. 
300 |a 1 online resource (396 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a De Gruyter Textbook 
588 0 |a Print version record. 
504 |a Includes bibliographical references and index. 
520 |a Stochastic processes occur in a large number of fields in sciences and engineering, so they need to be understood by applied mathematicians, engineers and scientists alike. This work is ideal for a first course introducing the reader gently to the subject matter of stochastic processes. It uses Brownian motion since this is a stochastic process which is central to many applications and which allows for a treatment without too many technicalities. All chapters are modular and are written in a style where the lecturer can ""pick and mix"" topics. A ""dependence chart"" will guide the reader when. 
546 |a English. 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t Dependence chart --  |t Index of notation --  |t Chapter 1. Robert Brown's new thing --  |t Chapter 2. Brownian motion as a Gaussian process --  |t Chapter 3. Constructions of Brownian motion --  |t Chapter 4. The canonical model --  |t Chapter 5. Brownian motion as a martingale --  |t Chapter 6. Brownian motion as a Markov process --  |t Chapter 7. Brownian motion and transition semigroups --  |t Chapter 8. The PDE connection --  |t Chapter 9. The variation of Brownian paths --  |t Chapter 10. Regularity of Brownian paths --  |t Chapter 11. The growth of Brownian paths --  |t Chapter 12. Strassen's Functional Law of the Iterated Logarithm --  |t Chapter 13. Skorokhod representation --  |t Chapter 14. Stochastic integrals: L2-Theory --  |t Chapter 15. Stochastic integrals: beyond L2T --  |t Chapter 16. Itô's formula --  |t Chapter 17. Applications of Itô's formula --  |t Chapter 18. Stochastic differential equations --  |t Chapter 19. On diffusions --  |t Chapter 20. Simulation of Brownian motion /  |r Böttcher, Björn --  |t Appendix --  |t Index 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Brownian motion processes. 
650 0 |a Stochastic processes. 
650 6 |a Processus de mouvement brownien. 
650 6 |a Processus stochastiques. 
650 7 |a MATHEMATICS / Probability & Statistics / General.  |2 bisacsh 
650 7 |a Brownian motion processes  |2 fast 
650 7 |a Stochastic processes  |2 fast 
650 7 |a Brownsche Bewegung  |2 gnd 
650 7 |a Stochastischer Prozess  |2 gnd 
653 |a Brownian Motion. 
653 |a Numerical Simulation. 
653 |a Stochastic Calculus. 
653 |a Stochastic Process. 
700 1 |a Partzsch, Lothar. 
700 1 |a Böttcher, Björn. 
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776 0 8 |i Print version:  |a Schilling, René L.  |t Brownian Motion : An Introduction to Stochastic Processes.  |d Berlin : De Gruyter, ©2012  |z 9783110278897 
830 0 |a De Gruyter textbook. 
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