Homotopy Probability Theory II
Probability
2014-04-02 v4 Algebraic Topology
Abstract
This is the second of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. This paper outlines how the framework can assist in the development of homotopy probability theory, where a vector space of random variables is replaced by a chain complex of random variables. This allows the principles of derived mathematics to participate in classical and noncommutative probability theory. A simple example is presented.
Cite
@article{arxiv.1302.5325,
title = {Homotopy Probability Theory II},
author = {Gabriel C. Drummond-Cole and Jae-Suk Park and John Terilla},
journal= {arXiv preprint arXiv:1302.5325},
year = {2014}
}
Comments
11 pages. Publication version