10 Oct 2002

Per Jacobsen "Quantization of probabilistic spaces".

I will review our construction of the category of probabilistic bundles and its monoidal structure from the spring semester. I will then show probabilistic relations are appear through product measures and show that a composition of relations can be defined in such a way that relations (almost) form a category. Finally I will describe some work in progress were we are extending this formalism to the quantum case using spectral measures and spectral bundles.