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arXiv · 1302.5325

Homotopy Probability Theory II

Gabriel C. Drummond-Cole·Jae-Suk Park·John Terilla
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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.

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Gabriel C. Drummond-Cole, Jae-Suk Park, John Terilla. 2013-02-21. Homotopy Probability Theory II. https://arxiv.org/abs/1302.5325

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