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 |
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Module | Course | Requirements | |
---|---|---|---|
24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
24-M-P1a Profilierung 1 Teil A | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
- | Graded examination | Student information | |
24-M-P1b Profilierung 1 Teil B | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
- | Graded examination | Student information | |
24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
- | Graded examination | Student information | |
24-M-VM1 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.