Subjects

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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 2024
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:	not taught
Language:	Czech, English
Teaching methods:	full-time
Note:	the course is taught as cyclical

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 -

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.

Last update: T_KPMS (16.05.2013)

Aim of the course -

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

Last update: T_KPMS (16.05.2013)

Course completion requirements -

The course is ended by oral examination.

Last update: Beneš Viktor, prof. RNDr., DrSc. (29.10.2019)

Literature - Czech

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.

Last update: T_KPMS (16.05.2013)

Teaching methods -

Lecture.

Last update: T_KPMS (16.05.2013)

Requirements to the exam -

The requirements to the examination correspond to the syllabus of the course in the extent which was presented by the lecturer.

Last update: Beneš Viktor, prof. RNDr., DrSc. (29.10.2019)

Syllabus -

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

Last update: Beneš Viktor, prof. RNDr., DrSc. (09.10.2017)

Entry requirements -

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.

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