2 papers
math.OA2026
Polynomials in -free random variables with applications to free denoising
Adrian Celestino, Franz Lehner, Kamil Szpojankowski
We study distributions of polynomials in conditionally free (c-free) random variables, a notion of independence for two-state noncommutative probability spaces introduced by Bozejk…
math.CO2023
Schröder trees, antipode formulas and non-commutative probability
Adrian Celestino, Yannic Vargas
We obtain a cancellation-free formula, represented in terms of Schröder trees, for the antipode in the double tensor Hopf algebra introduced by Ebrahimi-Fard and Patras. We apply t…