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math.OA2017
Freeness characterizations on free chaos spaces
Solesne Bourguin, Ivan Nourdin
This paper deals with characterizing the freeness and asymptotic freeness of free multiple integrals with respect to a free Brownian motion or a free Poisson process. We obtain thr…
math.OA2017
Free quantitative fourth moment theorems on Wigner space
Solesne Bourguin, Simon Campese
We prove a quantitative Fourth Moment Theorem for Wigner integrals of any order with symmetric kernels, generalizing an earlier result from Kemp et al. (2012). The proof relies on…