Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S- and T-Transforms

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Voiculescu, D. V., Addition of certain non-commuting random variables
1986
Earlier work this paper cites.
Voiculescu, D. V., Multiplication of certain non-commuting random variables
1987
Earlier work this paper cites.

Haagerup, U., On Voiculescu’s R R - and S S -transforms for free non-commuting variables
1997
Cited alongside, same era.
Voiculescu, D. V., Free probability for pairs of faces I
2014
Cited alongside, same era.
Charlesworth, B.; Nelson, B.; and Skoufranis, P., On two-faced families of non-commutative random variables
Cited in the paper.
Charlesworth, B.; Nelson, B.; and Skoufranis, P., Combinatorics of bi-freeness with amalgamation
Cited in the paper.
Freslon, A., and Weber, M., On bi-free De Finetti theorems
Cited in the paper.
Friedrich, R., and McKay, J., The S S -transform in arbitrary dimensions
Cited in the paper.
Gu, Y.; Huang, H.-W.; and Mingo, J. A., An analogue of the Levy–Hincin formula for bi-free infinitely divisible distributions
Cited in the paper.
Mastnak, M., and Nica, A., Double-ended queues and joint moments of left-right canonical operators on full Fock spaces
Cited in the paper.
Skoufranis, P., Independence and partial R R -transforms in bi-free probability
Cited in the paper.

Voiculescu, D. V.; Dykema, K. J.; and Nica, A., Free Random Variables
Original
2015
Closest in time.
Voiculescu, D. V., Free probability for pairs of faces II: 2 2 -variables bi-free partial R R -transform and system with rank ≤ 1 \leq 1 commutation
2035
Closest in time.