Infinite products and zero-one laws in categorical probability


Abstract in English

Markov categories are a recent category-theoretic approach to the foundations of probability and statistics. Here we develop this approach further by treating infinite products and the Kolmogorov extension theorem. This is relevant for all aspects of probability theory in which infinitely many random variables appear at a time. These infinite tensor products $bigotimes_{i in J} X_i$ come in t

Download