Geodesic
Commutative monads as a theory of distributions
Theory and applications of categories, Tome 26 (2012), pp. 97-131

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

It is shown how the theory of commutative monads provides an axiomatic framework for several aspects of distribution theory in a broad sense, including probability distributions, physical extensive quantities, and Schwartz distributions of compact support. Among the particular aspects considered here are the notions of convolution, density, expectation, and conditional probability.

Publié le :
Classification : 18C15, 18D25, 46T30
Keywords: monads, distributions, extensive quantities 
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     author = {Anders Kock},
     title = {Commutative monads as a theory of distributions},
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     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a3/}
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Anders Kock. Commutative monads as a theory of distributions. Theory and applications of categories, Tome 26 (2012), pp. 97-131. http://geodesic.mathdoc.fr/item/TAC_2012_26_a3/