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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
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

Opinion survey results Examination dates SS schedule Noticeboard

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.