Bengt Ringnér
Researcher, affiliated with the university
Interests

Mathematics and probability
General overview with links to proofs hard to extract from the literature: Fundamental Theorem, aka Kolmogorov's existence theorem for stochastic processes.
 Extension Theorem for measures done through integration. It also contains a proof of the StoneDaniell representation theorem.
 Prohorov's theorem. It is most conveniently proved through the StoneDaniell theorem.
 Fubini's theorem on iterated integration of double integrals.
 The formula E(g(X)) = ∫ g(x)dF_X(x), called "the law of the unconscious statistician".

Mathematical logic
Links
 Kolmogorov's "Grundbegriffe der Wahrscheinlichkeitsrechnung" (1933), translated to English, at www.mathematik.com.
 www.mathematik.com.