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Modul
Percolation [M-MATH-102905]
Credits
5Recurrence
UnregelmäßigDuration
1 SemesterLanguage
Level
4Version
2Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-105869 | Percolation | 5 |
Competence Certificate
The module will be completed by an oral exam (ca. 30 min).
Competence Goal
The students
- are acquainted with basic models of discrete and continuum percolation,
- acquire the skills needed to use specific probabilistic and graph-theoretical methods for the analysis of these models,
- know how to work self-organised and self-reflexive.
Prerequisites
none
Content
- Bond and site percolation on graphs
- Infinite clusters and critical probabilities
- Asymptotics of cluster sizes
- Uniqueness of the infinite cluster
- Continuous percolation
Recommendation
The contents of the module Probability Theory are recommended.
Workload
Total workload: 150 hours
Attendance: 60 hours
- lectures, problem classes, and examination
Self-studies: 90 hours
- follow-up and deepening of the course content,
- work on problem sheets,
- literature study and internet research relating to the course content,
- preparation for the module examination