99 citations · 460 across the 54 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.OA2014★ 2 cited
Regularity of Polynomials in Free Variables
I. Charlesworth, D. Shlyakhtenko
We show that the spectral measure of any non-commutative polynomial of a non-commutative -tuple cannot have atoms if the free entropy dimension of that -tuple is (see als…