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International Mathematics Research Notices (2000) 2000:79-106, doi:10.1155/S1073792800000064
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

The coalgebra of the free difference quotient and free probability

Dan Voiculescu

A coalgebra structure, involving the free difference quotient derivation, underlies analytic subordination results related to Markovianity in free probability theory. In this context, an algebraic structure, resembling a Hopf algebra, based on derivation-comultiplications, is identified; it is shown that there is good duality behavior.


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