14 citations · 21 across the 4 of their papers we have counts for
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math.OA2014★ 2 cited
Free analysis and planar algebras
S. Curran, Y. Dabrowski, D. Shlyakhtenko
We study 2-cabled analogs of Voiculescu's trace and free Gibbs states on Jones planar algebras. These states are traces on a tower of graded algebras associated to a Jones planar a…
math.OA2010★ 14 cited
A non-commutative Path Space approach to stationary free Stochastic Differential Equations
Yoann Dabrowski
By defining tracial states on a non-commutative analogue of a path space, we construct Markov dilations for a class of conservative completely Markov semigroups on finite von Neuma…