101.554 Entropy methods for PDEs and stochastic processes
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2013W, SE, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SE Seminar

Aim of course

This research seminar intends to bridge the PDE-, optimal transport-, and stochastic view point for selected evolution equations like drift-diffusion equations and the Schrödinger equation.

Subject of course

We shall start with detailed presentations of the papers

* Fontbona and Jourdain, Preprint 2013

* Max v. Renesse, Preprint 2009

* F. Baudoin, Preprint 2013

 

 

 

Additional information

This seminar is held alternatingly at the Vienna University (with Prof's Schachermayer, Schmeiser, Beiglböck) and the Vienna University of Technology.

Schedule:

7.10., 17:00 (st) Walter Schachermayer: "A trajectorial interpretation of the dissipations of entropy 1 (à la Fontbona-Jourdain)", TU Wien, green math-tower, 3rd floor, Besprechungsraum

14.10., 17:00 (st) Walter Schachermayer: "A trajectorial interpretation of the dissipations of entropy 2 (à la Fontbona-Jourdain)", Uni Wien, 2nd floor, room SR09

21.10., 17:00 (st) Anton Arnold: "The entropy-method for (non)symmetric Fokker-Planck equations 1", TU Wien, green math-tower, 3rd floor, Besprechungsraum

         Refs: Arnold, Lecture-Notes, Ravello, 2000

                   Arnold, Markowich, Toscani, Unterreiter: CPDE, 2001

                   Bolley, Gentil: J Math Pures Appl, 2010

28.10., 17:00 (st) Anton Arnold: "The entropy-method for (non)symmetric Fokker-Planck equations 2", Uni Wien, 2nd floor, room SR09

4.11. no meeting

11.11., 17:00 (st) Christian Schmeiser: "Various people (Bakry, Emery, Villani, Baudoin, and others) meet 1", TU Wien, green math-tower, 3rd floor, Besprechungsraum

18.11., 17:00 (st) Christian Schmeiser: "Various people (Bakry, Emery, Villani, Baudoin, and others) meet 2", Uni Wien, 2nd floor, room SR09 

 25.11., 17:00 (st) Christian Schmeiser: "Various people (Bakry, Emery, Villani, Baudoin, and others) meet 3", TU Wien, green math-tower, 3rd floor, Besprechungsraum                

2.12.  no meeting

9.12. 17:00 (st) Christian Schmeiser: "Various people (Bakry, Emery, Villani, Baudoin, and others) meet 4", Uni Wien, 2nd floor, room SR09

16.12. 17:00 (st) Ansgar Jüngel: "The Fisher information in Lagrangian mechanics on probability space", TU Wien, green math-tower, 3rd floor, Besprechungsraum

13.1.  no meeting

20.1. 17:00 (st) Mathias Beiglböck: "Causal transference plans 1", Uni Wien, 2nd floor, room SR09

27.1. 17:00 (st) Mathias Beiglböck: "Causal transference plans 2", TU Wien, green math-tower, 3rd floor, Besprechungsraum

 


Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: http://www.tuwien.ac.at/fileadmin/t/ukanzlei/t-ukanzlei-english/Plagiarism.pdf
Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: Directive concerning the handling of plagiarism (PDF)Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: Directive concerning the handling of plagiarism (PDF)

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon16:30 - 18:0007.10.2013 - 27.01.2014Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon16:30 - 18:0014.10.2013Sem.R. DA grün 06B Entropy methods for PDEs and stochastic processes
Entropy methods for PDEs and stochastic processes - Single appointments
DayDateTimeLocationDescription
Mon07.10.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon14.10.201316:30 - 18:00Sem.R. DA grün 06B Entropy methods for PDEs and stochastic processes
Mon21.10.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon28.10.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon04.11.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon11.11.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon18.11.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon25.11.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon02.12.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon09.12.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon16.12.201316:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon13.01.201416:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon20.01.201416:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes
Mon27.01.201416:30 - 18:00Sem.R. DA grün 03 C Entropy methods for PDEs and stochastic processes

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
860 FW Elective Courses - Technical Mathematics Elective

Literature

No lecture notes are available.

Language

English