Combinatorics of cyclic-conditional freeness

O Arizmendi, G Cébron, N Gilliers - arXiv preprint arXiv:2311.13178, 2023 - arxiv.org
We develop the relevant combinatorics pertaining to cyclic-conditional freeness in order to
introduce the adequate sets of cumulants linearizing the cyclic-conditional additive …

Free probability of type B prime

K Fujie, T Hasebe - arXiv preprint arXiv:2310.14582, 2023 - arxiv.org
Free probability of type B was invented by Biane--Goodman--Nica, and then it was
generalized by Belinschi--Shlyakhtenko and F\'evrier--Nica to infinitesimal free probability …

The Distribution of Polynomials in Monotone Independent Elements

M Banna, PL Tseng - arXiv preprint arXiv:2311.05979, 2023 - arxiv.org
Building on the work of Arizmendi and Celestino (2021), we derive the $* $-distributions of
polynomials in monotone independent and infinitesimally monotone independent elements …

[PDF][PDF] The Double Fock Space of Type B

M Bożejko, W Ejsmont - arXiv preprint arXiv:2202.13762, 2022 - emis.de
The Double Fock Space of Type B Page 1 Symmetry, Integrability and Geometry: Methods
and Applications SIGMA 19 (2023), 040, 22 pages The Double Fock Space of Type B Marek …