Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-62-18-K-7

Stochastic Geometry (2V+1U, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 4.5 CP 93 h
2 V Lecture 28 h
1 U Exercise class (in small groups) 14 h
(2V+1U) 4.5 CP 42 h 93 h

Basedata

SWS 2V+1U
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-STO] Stochastics/Statistics/Financial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

  • Basic concepts of the theory of spatial point processes (marking, intensity measure, ...),
  • Multidimensional Poisson process, Poisson Cluster processes,
  • Basic concepts of the theory of random closed sets,
  • Germ-grain models, in particular the Boolean model,
  • Random mosaics.

Literature

  • D. Stoyan, W. S. Kendall, J. Mecke: Stochastic Geometry and its Applications,
  • R. Schneider, W. Weil: Stochastic and Integral Geometry.

Materials

Further literature will be announced in the lecture(s); exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-62-18-K-7]

Module Name Context
[MAT-62-18-M-7] Stochastic Geometry P: Obligatory 2V+1U, 4.5 LP