DE

Modul

Stochastic Geometry [M-MATH-102865]

Credits
8
Recurrence
Jedes Sommersemester
Duration
1 Semester
Language
Level
5
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105840 Stochastic Geometry 8

Competence Certificate

The module will be completed by an oral exam (ca. 30 min).

Competence Goal

The students

  • know the fundamental geometric models and characteristics in stochastic geometry,
  • are familiar with properties of Poisson processes of geometric objects,
  • know examples of applications of models of stochastic geometry,
  • know how to work self-organised and self-reflexive.

Prerequisites

None

Content

  • Random Sets
  • Geometric Point Processes
  • Stationarity and Isotropy
  • Germ Grain Models
  • Boolean Models
  • Foundations of Integral Geometry
  • Geometric densities and characteristics
  • Random Tessellations

Recommendation

It is recommended to have taken the module 'Spatial Stochastics' beforehand.

Workload

Total workload: 240 hours

Attendance: 90 hours

  • lectures, problem classes, and examination

Self-studies: 150 hours

  • follow-up and deepening of the course content
  • work on problem sheets
  • literature study and internet research related to the course content
  • preparation for the module exam.