Good morning: I'm looking for papers/books on category-theoretic approaches to probability. On the AMS site, there are only two listed: one in 1980 and one in 1976. Are there more recent? best, steve
I'm looking for papers/books on category-theoretic approaches to probability. On the AMS site, there are only two listed: one in 1980 and one in 1976. Are there more recent?
Steve and all, Here's one I've been looking at: H. T. Nguyen & N. T. Nguyen (2000). On Chu Spaces in Uncertainty Analysis, International Journal of Intelligent Systems, vol. 15, 425-440. I'm sending to categories also because I wanted to ask about this in the context of combining probabilistic analysis with domain theory, topology and logic in categories. Thanks, Mike -- =========================================================================== e Michael J. Healy A FA ----------> GA (425)865-3123 | | FAX(425)865-2964 | | Ff | | Gf c/o The Boeing Company | | PO Box 3707 MS 7L-66 \|/ \|/ Seattle, WA 98124-2207 ' ' USA FB ----------> GB -or for priority mail- e "I'm a natural man." 2760 160th Ave SE MS 7L-66 B Bellevue, WA 98008 USA michael.j.healy@boeing.com -or- mjhealy@u.washington.edu ============================================================================
----- Original Message ----- From: Steve Stevenson <steve@cs.clemson.edu> To: <categories@mta.ca> Sent: Monday, April 02, 2001 1:35 PM Subject: categories: Probability Theory
I'm looking for papers/books on category-theoretic approaches to probability. On the AMS site, there are only two listed: one in 1980 and one in 1976. Are there more recent?
These papers and PhD thesis should be interesting (by decreasing order of abstraction/generality): C. Hermida and P. Mateus. Internal paracategories. Preprint, Section of Computer Science, Department of Mathematics, Instituto Superior Técnico, 1049-001 Lisboa, Portugal, 2000. Submitted for publication. Get a preprint: http://www.cs.math.ist.utl.pt/ftp/pub/MateusP/00-CM-paracat.ps L. Schröder and P. Mateus. Universal aspects of probabilistic automata. Preprint, Section of Computer Science, Department of Mathematics, Instituto Superior Técnico, 1049-001 Lisboa, Portugal, 1999. Submitted for publication. Get a preprint: http://www.cs.math.ist.utl.pt/ftp/pub/MateusP/99-SM-precat2.ps P. Mateus. Interconnection of Probabilistic Systems. PhD thesis, IST, Universidade Técnica de Lisboa, 2000. Supervised by A. Sernadas and C. Sernadas. Get a preprint: http://www.cs.math.ist.utl.pt/ftp/pub/MateusP/00-M-PhDthesis.ps P. Mateus, A. Sernadas, and C. Sernadas. Precategories for combining probabilistic automata. Electronic Notes in Theoretical Computer Science, 29, 1999. Early version presented at FIREworks Meeting, Magdeburg, May 15-16, 1998. Presented at CTCS'99, Edinburgh, September 10-12, 1999. http://www.elsevier.nl/cas/tree/store/tcs/free/entcs/store/tcs29/tcs29016.ps P. Mateus, M. Cabral Morais, C. Nunes, A. Pacheco, A. Sernadas, and C. Sernadas. Randomly timed automata. Preprint, Section of Computer Science, Department of Mathematics, Instituto Superior Técnico, 1049-001 Lisboa, Portugal, March 2000. Submitted for publication. Get a preprint: http://www.cs.math.ist.utl.pt/ftp/pub/SernadasA/00-MMNPSS-rta.ps P. Mateus, A. Sernadas, and C. Sernadas. Realization of probabilistic automata: Categorical approach. In Didier Bert and Christine Choppy, editors, Recent Trends in Algebraic Development Techniques - Selected Papers, volume 1827 of Lecture Notes in Computer Science, pages 237--251. Springer-Verlag, 2000. Get a preprint: http://www.cs.math.ist.utl.pt/ftp/pub/SernadasA/99-MSS-probreal.ps ++++++++++++++++++++++++++++++++++++++++++++++++++ Amilcar Sernadas Departamento de Matematica Instituto Superior Tecnico Av. Rovisco Pais, 1049-001 Lisboa, PORTUGAL tel: 351-21-8417150 fax: 351-21-8417598 e-mail: acs@math.ist.utl.pt www: http://www.cs.math.ist.utl.pt/cs/acs.html ++++++++++++++++++++++++++++++++++++++++++++++++++
participants (3)
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Amilcar Sernadas -
mjhealy＠redwood.rt.cs.boeing.com -
Steve Stevenson