The disintegration operadic category

Richard Garner – 14 November 2018

In AusCat seminars passim I have talked about Jacobs' hypernormalisation of probability distributions. Sam Staton tells me that this is closely related to so-called disintegration of probability measures. In this talk I will describe a Batanin-Markl operadic category which encodes disintegration for probability measures on finite sets. The corresponding operads have operations which "choose probabilistically between their inputs".