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Last update: T_MUUK (27.04.2016)
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Last update: T_MUUK (27.04.2016)
To teach the students of the master studies in Probability, Mathematical Statistics and Econometrics certain approaches useful in probability theory |
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Last update: RNDr. Jitka Zichová, Dr. (14.06.2019)
Ústní zkouška. |
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Last update: T_MUUK (27.04.2016)
Morgan F.: Geometric Measure Theory: a Beginner's Guide.Academic Press, San Diego 1988 Mattila P.: Geometry of Sets and Measures in Euclidean Spaces. Cambridge Univ. Press, Cambridge 1995 Krantz S.G., Parks H.R.: Geometric Integration Theory. Birkhäuser, Boston 2008 |
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Last update: G_M (16.05.2013)
Lecture. |
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Last update: prof. RNDr. Jan Rataj, CSc. (12.10.2018)
Zkouška probíhá ústní formou. Její součástí je prezentace vyřešeného předem zadaného cvičení a zodpovězení otázek týkajících se odpřednesené látky. |
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Last update: T_MUUK (27.04.2016)
1. k-dimensional Hausdorff measure, Hausdorff dimension, covering theorems, Lebesgue density theorem. 2. Invariant measures on a compact topological group, Haar measure, integral-geometric measure. 3. Disintegration theorem for measures on Cartesian products, existence of regular versions of conditional probabilities, random measure. |
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Last update: prof. RNDr. Jan Rataj, CSc. (15.06.2021)
Basic cousres of mathematical analysis and measure and integration theory. |