Abstract
We construct a cooperad which extends the framework of homotopy probability theory to free probability theory. The cooperad constructed, which seems related to the sequence and cactus operads, may be of independent interest.
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Acknowledgements
The author gratefully acknowledges useful conversations with Joey Hirsh, John Terilla, Jae-Suk Park, and Ben Ward. An anonymous referee made multiple useful observations.
This work was supported by IBS-R003-D1.
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Drummond-Cole, G.C. (2018). A Non-crossing Word Cooperad for Free Homotopy Probability Theory. In: de Gier, J., Praeger, C., Tao, T. (eds) 2016 MATRIX Annals. MATRIX Book Series, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-72299-3_5
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DOI: https://doi.org/10.1007/978-3-319-72299-3_5
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