Homotopy probability theory II

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 variable...

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Veröffentlicht in:Journal of homotopy and related structures 2015-09, Vol.10 (3), p.623-635
Hauptverfasser: Drummond-Cole, Gabriel C., Park, Jae-Suk, Terilla, John
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2193-8407
1512-2891
DOI:10.1007/s40062-014-0078-3