Week 3 | Jan-Jaap Oosterwijk | Monotone class theorem |
Linda Vos | Representation of measurable functions | |
Week 4 | Wouter Krasser | Lambda sets and Carathéodory's lemma |
Daniel Younis | Carathéodory's extension theorem | |
Week 5 | Marlouke van Straaten | Existence of Lebesgue measure I |
Sjoerd Dirksen | Existence of Lebesgue measure II | |
Week 6 | Alexander van Haastrecht | Completeness of Lp |
Martijn Zaal | Projections in L2 | |
Week 7 | No presentations | |
Week 8 | Sebastiaan Keus | Modes of convergence I |
Johan Wolswinkel | Modes of convergence II | |
Week 9 | Laura Panzar | Martingales in L2 |
Jevgenijs Ivanovs | Doob's decomposition | |
Week 10 | Giuseppe Plescia | Stopped sigma-algebras |
Tamasz Nagy | Optional stopping | |
Week 11 | Gijs Koot | Sums of independent variables in L2 |
Gerben van der Hoek | Cesaro, Kronecker and Kolmogorov's strong law | |
Week 12 | Alba Garcia Seco de Herrera | Kolmogorov's three series theorem |
Alex Minos | Kolmogorov's truncation lemma | |
Week 13 | Blaz Mramor | Tightness in Lévy's continuity theorem |
Cassandra van Altena | Kakutani's theorem in the iid case | |
Geertje Zuidhof | The characteristic function of N(0,1) |