2 papers
math.CO2022
A forest formula for pre-Lie exponentials, Magnus' operator and cumulant-cumulant relations
Adrian Celestino, Frédéric Patras
Forest formulas that generalize Zimmermann's forest formula in quantum field theory have been obtained for the computation of the antipode in the dual of enveloping algebras of pre…
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…