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Course, academic year 2024/2025
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Stochastic geometry - NSTP044
Title: Stochastická geometrie
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
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: cancelled
Language: Czech
Teaching methods: full-time
Guarantor: prof. RNDr. Viktor Beneš, DrSc.
prof. RNDr. Jan Rataj, CSc.
Class: DS, pravděpodobnost a matematická statistika
Classification: Mathematics > Probability and Statistics
Interchangeability : NMTP541
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 (14.05.2010)
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 (14.05.2010)
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 (14.05.2010)
Teaching methods -

Lecture.

Last update: T_KPMS (16.05.2011)
Syllabus -

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

Last update: T_KPMS (14.05.2010)
 
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