Homotopy Probability Theory II
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2013
- DOI:
- 10.48550/arXiv.1302.5325
- arXiv:
- arXiv:1302.5325
- Bibcode:
- 2013arXiv1302.5325D
- Keywords:
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- Mathematics - Probability;
- Mathematics - Algebraic Topology
- E-Print:
- 11 pages. Publication version