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401-3382-25L 4 Credits DR , MSC D-MATH

Log-Sobolev Inequalities and Markov Semigroups

Lecturers & Examiners: Prof. Dr. Yuansi Chen
VVZ CR n/a

Last Updated: 2026-07-21 00:36:52

Abstract

Markov semigroups provide very general models and tools in the analysis of time evolution phenomena and dynamical systems.This course is a modern overview on probabilistic and geometric aspects of Markov semigroups and associated functional inequalities such as log-Sobolev inequalities.

Objective

This course focus on understanding a few topics centered around Markov semigroups and associated functional inequalities. The important topics to master include Markov semigroups, examples of Markov semigroups coming from stochastic differential equations, Poincare inequality, log-Sobolev inequality and isoperimetric inequality.

Content

The main content follows the book "Analysis and Geometry of Markov Diffusion Operators", Bakry, Gentil and Ledoux 2013

General Information

Language
English
Levels
DR , MSC

Examination

Type
session examination
Mode
written 120 minutes
Aids
None
The exam is only offered in the examination sessions Winter 2027 and Summer 2027.

Course Components

Type Title Time & Place Hours
lecture Log-Sobolev Inequalities and Markov Semigroups
Tentatively scheduled for Monday 14-16.
No time listed 2 h weekly

Offered In