Commutative monads as a theory of distributions

Anders Kock

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arXiv · 1108.5952

Commutative monads as a theory of distributions

Anders Kock

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Abstract

The theory of commutative monads on cartesian closed categories provides a framework where aspects of the theory of distributions and other extensive quantities can be formulated and some results proved. We make explicit a link between our theory and the theory of Schwartz distributions of compact support. We also discuss probability distributions.

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Anders Kock. 2011-08-30. Commutative monads as a theory of distributions. https://arxiv.org/abs/1108.5952

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