We are working on a related problem. It seems that it is necessary to work with a relaxed notion of category, namely where the compostion of f:a->b and g:b->c is not always defined. You should look at relaxed notions of category such as composition graphs, paracategories, precategories and the like. On our own preliminary results look at the working paper P. Mateus, A. Sernadas and C. Sernadas. Combining Probabilistic Automata: Categorial Characterization. Research Report, April 1998. Presented at the FIREworks Meeting, Magdeburg, May 15-16, 1998 that you can fetch from http://www.cs.math.ist.utl.pt/s84.www/cs/pmat.html Amilcar Sernadas -----Original Message----- From: jean-pierre-C. <cotton@ensae.fr> To: categories@mta.ca <categories@mta.ca> Date: Quarta-feira, 21 de Outubro de 1998 0:19 Subject: categories: category theory and probability theory
Bonjour. I am a statistician and I should be interested in a categorical framework for probability and statistical theory. Does anyone know references (books, articles, websites...) about applications of categories and functors to probability or even measure theory ? Thank you.
Very truly yours,
Jean-Pierre Cotton.