Free quantitative fourth moment theorems on Wigner space
S Bourguin, S Campese - International Mathematics Research …, 2018 - academic.oup.com
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 …
symmetric kernels, generalizing an earlier result from Kemp et al.(2012). The proof relies on …
Sobolev-Wigner spaces
CP Diez - arXiv preprint arXiv:2303.13487, 2023 - arxiv.org
In this paper, we provide new results about the free Malliavin calculus on the Wigner space
first developed in the breakthrough work of Biane and Speicher. We define in this way the …
first developed in the breakthrough work of Biane and Speicher. We define in this way the …
Multi Variable Semicircular Processes From∗-Homomorphisms and Operators
I Cho, PET Jorgensen - New Directions in Function Theory: From Complex …, 2021 - Springer
In this paper, we (i) consider a Banach∗-probability space 𝕃 Q (N) L _ Q^(N) generated by
mutually free finitely, or countable-infinitely many semicircular elements, induced by …
mutually free finitely, or countable-infinitely many semicircular elements, induced by …
Freeness characterizations on free chaos spaces
S Bourguin, I Nourdin - Pacific Journal of Mathematics, 2020 - msp.org
We deal 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 three …
with respect to a free Brownian motion or a free Poisson process. We obtain three …