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A walk through Malliavin Calculus: from the initial motivations to recent developments

Date
Jan 11, 2017
Time
5:00 PM - 6:00 PM
Speaker
Prof. Marta Sanz-Solé
Affiliation
Facultat de Matemàtiques, Universitat de Barcelona
Series
TUD Dresdner Mathematisches Seminar
Language
en
Main Topic
Mathematik
Other Topics
Mathematik
Host
Prof. Dr. R. Schilling
Description
Existence and properties of probability densities for nonlinear Gaussian functionals can be obtained using the stochastic calculus of variations which, in Malliavin’s words, comes from a merging of differential calculus and probability theory. In the first part of the lecture, we will talk on the motivations of this calculus, its connections with PDEs, and introduce the basic notions. In the second part, we will focus on quite recent applications relative to aspects of probabilistic potential theory for stochastic partial differential equations (SPDEs). More specifically, we will study the probability that sample paths of solutions of SPDEs visit deterministic sets.
Links

Last modified: Dec 12, 2016, 11:10:51 AM

Location

TUD Willers-Bau (WIL C 307)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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