Stochastic and Integral Geometry II (Sommersemester 2007)
- Dozent*in: Prof. Dr. Wolfgang Weil (verstorben)
- Veranstaltungen: Vorlesung (1550), Übung (1551)
- Semesterwochenstunden: 4+2
Stochastic geometry deals with the development and analysis of stochastic models for complicated geometrical patterns. It combines concepts from probability theory (point processes, random sets) with elements from convex and integral geometry (curvature measures, intrinsic volumes, principal kinematic formula, Crofton formula).
This two-semester course introduces in some of the basic ideas and results of this exciting and interesting field. While, in the first part, Poisson processes and Boolean models were discussed, the second part will concentrate on general particle processes and, as a major field of applications, on random mosaics. As integral geometric results, the Blaschke-Petkantschin formulas will be studied.
A basic knowledge in probability and measure theory is required. The knowledge of the first part of the course is helpful, but not essential.
There will be no lecture on monday april 16th. First lecture will be on tuesday april 17th.
| Termine | |||
|---|---|---|---|
| Vorlesung: | Montag 11:30-13:00 | Seminarraum 33 | Beginn: 17.4.2007, Ende: 17.7.2007 |
| Dienstag 9:45-11:15 | Seminarraum 33 | ||
| Übung: | Freitag 14:00-15:30 | Seminarraum 33 | Beginn: 20.4.2007, Ende: 20.7.2007 |
| Lehrende | ||
|---|---|---|
| Dozent | Prof. Dr. Wolfgang Weil (verstorben) | |
| Sprechstunde: | ||
| Zimmer Kollegiengebäude Mathematik (20.30) | ||
| Email: | Übungsleiter | Dr. Mario Hörig |
| Sprechstunde: | ||
| Zimmer Allianz-Gebäude (05.20) | ||
| Email: Hoerig@math.uni-karlsruhe.de | ||
Übungsblätter
- Übungsblatt 1: blatt01.pdf
- Übungsblatt 2: blatt02.pdf
- Übungsblatt 3: blatt03.pdf (korrigierte Fassung vom 10.05.07)
- Übungsblatt 4: blatt04.pdf
- Übungsblatt 5: blatt05.pdf
- Übungsblatt 6: blatt06.pdf
- Übungsblatt 7: blatt07.pdf
- Übungsblatt 8: blatt08.pdf
- Übungsblatt 9: blatt09.pdf
- Übungsblatt 10: blatt10.pdf
- Übungsblatt 11: blatt11.pdf
Ergänzungen
- Topologische Ergänzungen: topology.pdf
Literaturhinweise
- Schneider, R.; Weil, W.: Integralgeometrie, Teubner 1992
- Schneider, R; Weil, W.: Stochastische Geometrie, Teubner 2000
- Stoyan, D.; Kendall, W.S.; Mecke, J.: Stochastic Geometry and Its Applications, 2nd Ed., Wiley 1995
- Weil, W. (Ed.): Stochastic Geometry, Lecture Notes in Mathematics, Springer 2007