Stochastic Geometry - NMTP541
Title: Stochastická geometrie
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023 to 2023
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Viktor Beneš, DrSc.
Class: M Mgr. PMSE
M Mgr. PMSE > Povinně volitelné
Classification: Mathematics > Probability and Statistics
Co-requisite : NMTP438
Is interchangeable with: NSTP044
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Annotation -
Last update: T_KPMS (16.05.2013)
The lecture extends knowledge from spatial modelling and statistics discussing random sets with integral-geometric characteristics. The topic has practical applications in biomedicine, materials research, geology and other science.
Aim of the course -
Last update: T_KPMS (16.05.2013)

The course is a part of a series of relevant lectures for students interested in stochastic spatial modelling.

Course completion requirements -
Last update: prof. RNDr. Viktor Beneš, DrSc. (29.10.2019)

The course is ended by oral examination.
Literature - Czech
Last update: T_KPMS (16.05.2013)

V. Beneš, J. Rataj: Stochastic Geometry: Selected Topics. Kluwer Acad. Publ., Boston, 2004.

R. Schneider, W. Weil: Stochastic and Integral Geometry. Springer, Berlin, 2008.

D. Stoyan, W.S. Kendall, J. Mecke: Stochastic Geometry and Its Applications. Wiley, New York, 1995.

Teaching methods -
Last update: T_KPMS (16.05.2013)

Lecture.

Requirements to the exam -
Last update: prof. RNDr. Viktor Beneš, DrSc. (29.10.2019)

The requirements to the examination correspond to the syllabus of the course in the extent which was presented by the lecturer.
Syllabus -
Last update: prof. RNDr. Viktor Beneš, DrSc. (09.10.2017)

Minkowski functionals, random closed set, Boolean model, random processes of flats and surfaces, anisotropy, random tessellations, applications.

Entry requirements -
Last update: doc. Ing. Marek Omelka, Ph.D. (19.02.2024)

NMTP541 is a subject for students of the branch PMSE, specialization Probability. Spatial modeling. Students must pass the course NMTP438 Spatial modeling before or must be attending that course at the same time.