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math.OA2022★ 5 cited
Matrix models for cyclic monotone and monotone independences
Benoît Collins, Felix Leid, Noriyoshi Sakuma
Cyclic monotone independence is an algebraic notion of noncommutative independence, introduced in the study of multi-matrix random matrix models with small rank. Its algebraic form…
math.OA2021★ 5 cited
Functional relations for higher-order free cumulants
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde +2
We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen y…