Homotopy probability theory II

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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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Drummond-Cole, G. C., Park, J. S., & Terilla, J. (2015). Homotopy probability theory II. Journal of Homotopy and Related Structures, 10(3), 623–635. https://doi.org/10.1007/s40062-014-0078-3

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