DE

Modul

Percolation [M-MATH-102905]

Credits
5
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
4
Version
2

Responsible

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