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math.CO2019★ 1 cited
Relations between infinitesimal non-commutative cumulants
Adrian Celestino, Kurusch Ebrahimi-Fard, Daniel Perales
Boolean, free and monotone cumulants as well as relations among them, have proven to be important in the study of non-commutative probability theory. Quite notably, Boolean cumulan…
math.PR2019
Polynomials on cyclic monotone elements with applications to random matrices with discrete spectrum
Octavio Arizmendi, Adrian Celestino
We provide a generalization and new proofs of the formulas of Collins, Hasebe and Sakuma for the spectrum of polynomials in cyclic monotone elements. This is applied to random matr…