discipline |
Pure Mathematics |
subject |
Geometric
Functional Analysis |
lecturers |
János
Kristóf, Tibor Gruber |
credits |
2 |
period |
1 |
curriculum |
extremal points of compact
convex sets, theorem of Krein-Milman, positive Radon-measures on locally compact
spaces, upper integral and lemma of Fatou, concentration and barycentre of a
probabilistic Radon-measure on compact convex sets, Choquet’s theorem for
metrisable compact convex sets, the max-min principle of Bauer, Choquet
ordering on the set of probabilistic Radon-measures, the general theorem of
Choquet about barycentral decomposition |
literature |
P. A. Meyer: Probability and Potentials N. Bourbaki: Intégration |
form of tuition |
Lectures |
mode of assessment |
oral exam |