Probability Theory

Probability Theory

[Steve Stevenson]

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

Re: Probability Theory

[Amilcar Sernadas]

----- 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
++++++++++++++++++++++++++++++++++++++++++++++++++

Re: Probability Theory

[Michael Healy 425-865-3123]

> 
> 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

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