Logarithmic Sobolev Inequality
- Lecturer: Felix Otto
- Date: Thursday, 09.15-11.00
- Room: MPI MiS A3 01
- Keywords: Spectral Gap, Logarithmic Sobolev Inequality, overdamped Langevin equation, singular products in stochastic partial differential equations, stochastic homogenization
- Remarks: Lectures only at 14.11.2019, 28.11.2019, 5.12.2019, 19.12.2019, 16.01.2020, 23.01.2020
Abstract
We will give an introduction into the notions of the Spectral Gap and Logarithmic Sobolev Inequality, and display some of their applications. More precisely, we will discuss some criteria, namely the tensorization property, and the criteria of Bakry-Emery and Holley-Stroock. Applications discussed will involve hyper-contractivity of the overdamped Langevin equation, the construction of singular products in stochastic partial differential equations, and a selected application in stochastic homogenization.
All this, as usual, as time permits.
Regular lectures: Winter semester 2019/2020
- Topics in the Regularity Theory for Elliptic and Parabolic PDE's
- Renan Assimos Martins, Jonas Hirsch, Aleksander Klimek, Konstantinos Zemas
- Wednesdays, 15-17, MPI MiS A3 02
- Littlewood-Paley theory in PDEs
- Jan Burczak, Jonas Hirsch
- Thursdays, 15:15- 16:45, Leipzig University, Augusteum, A-314
- Seven Lectures in Algebraic Statistics
- Eliana Duarte, Orlando Marigliano
- Monday 13:00 to 14:30, starting October 21, MPI MiS G3 10
- Introduction to stochastic thin film equations
- Benjamin Gess
- Mo, 16:15-17:45, MPI MiS A3 01
- Introduction to game theory
- Jules Hedges
- Tuesday, 11.15-12.45, MPI MiS A3 02
- Introduction to Homogenization
- Marc Josien
- Tuesday, 9h15-10h45, MPI MiS A3 02
- Mathematical Topics in Neuroscience
- Jürgen Jost
- Fr 1.30pm, MPI MiS A3 01
- Nonlinear Algebra
- Mateusz Michałek
- Monday, 9.30, MPI MiS G3 10
- Logarithmic Sobolev Inequality
- Felix Otto
- Thursday, 09.15-11.00, MPI MiS A3 01
- Optimierung I
- André Uschmajew
- Tue 15:15 - 16:45, Wed 15:15 - 16:45, Leipzig University, Hs 5 (Tue), Hs 19 (Wed)
- Ringvorlesung
- IMPRS Faculty, Daniela Cadamuro, Angkana Rüland, Matteo Smerlak
- Friday 09.15-11.00 (Rüland) 09.30-11.00 (Cadamuro) 09.15-11.00 (Smerlak) Exercice classes: Friday 11.00-12.00, MPI MiS G3 10