Categories and Probability Theory

[Alamino]

Does anyone know if there is any study of probability theory from the point of view of category theory? I was trying to find some references but I just found something about probabilistic automatons and precategories. I would like to see something about probability distributions and categories. Any references?

[matt grime]

I'm not aware of anything that might be described as a category theoretic approach to probability. I wonder what you mean by it, or, rather, what do you envisage might be the objects, morphisms and natural transformations/functors?