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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: 2026-06-01 11:33:19

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

Resources

Learning Materials (Links)

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 Summer 2025 and Winter 2025/26.

Course Components

Type Title Time & Place Hours
lecture Log-Sobolev Inequalities and Markov Semigroups
  • Mon 12:15-14:00 (HG E 33.5)
2 h weekly

Offered In