The lecture will give an introduction to the mathematical analysis of a variety of probabilisitic models from statistical mechanics, biology or economics that describe interacting particles, agents or species. More precisely, we will discuss:
background on Markov processes (semigroups,generators, construction, ... )
study of landmark models (Ising model, contact process, exclusion process, ... )
qualitative phenomena (stationary states, phase transitions,...)
important techniques for analysing IPS (couplings, duality,...)
Wahrscheinlicheitstheorie I
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Mo | 12-14 | X-E0-213 | 11.10.2021-04.02.2022
not on: 11/1/21 / 12/27/21 / 1/3/22 |
|
| weekly | Do | 12-14 | V3-204 | 04.11.2021-04.02.2022
not on: 12/30/21 / 1/6/22 |
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profile Module 1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| 24-M-P1a Profile Module 1, Part A Profilierung 1 Teil A | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P1b Profile Module 1, Part B Profilierung 1 Teil B | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P2 Profile Module 2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
| 24-M-PWM Profile Module Economic Mathematics Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-VM1 Advanced Mathematics 1 Vertiefung Mathematik 1 | Vertiefungskurs Mathematik 1 - Variante 1 | Student information | |
| - | Graded examination | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.