vix.ing · top · new · best · stats · spec

Commutative monads as a theory of distributions

2011/08/30 by Kock, Anders
#18D25 #46Fxx #46Mxx #60E05 #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1108.5952

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.

Related