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Stochastic Analysis: A Series of Lectures

Part of the Progress in Probability Book Series (volume 68)

Editors: Dalang, Robert C.; Dozzi, Marco; Flandoli, Franco; Russo, Francesco

DOI: 10.1007/978-3-0348-0909-2

ISBN: 978-3-0348-0908-5

Publisher: Springer Basel - Springer Journals

May 15, 2015

11 - 13 of 13 Chapters

LitStream

Chapter 11Stochastic Integration in Banach Spaces – a Survey

van Neerven, Jan; Veraar, Mark; Weis, Lutz

Pages: 297 –332

[This paper presents a brief survey of the theory of stochastic integration in Banach spaces. Expositions of the stochastic integrals in martingale type 2 spaces and UMD spaces are presented, as well as some applications of the latter to vector-valued Malliavin calculus and the stochastic maximal...
LitStream

Chapter 12Stochastic Partial Differential Equations with Lévy Noise (a Few Aspects)

Peszat, Szymon

Pages: 333 –357

[These are the notes for my two 90 minutes talks on some aspects of SPDEs with Lévy noise, presented during a semester on SPDEs in EPF Lausanne and then in the Institute of Applied Mathematics, Chinese Academy of Sciences. The first talk was devoted to analytical aspects of the theory: the form...
LitStream

Chapter 13The Research Program of Stochastic Deformation (with a View Toward Geometric Mechanics)

Zambrini, Jean-Claude

Pages: 359 –393

[We give an overview of a program of Stochastic Deformation of Classical Mechanics and the Calculus of Variations, strongly inspired by the quantization method.]

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