V-monotone independence in noncommutative probability

par Adrian Dacko (Wrocław University)

mardi 16 juin 2026, 09:50 → 10:50 Europe/Paris

Johnson (1R3 - 1st floor)

We introduce and study V-monotone independence, which can be considered as a combination of two twin models of independence, monotone independence and antimonotone independence, into one model. We investigate the combinatorics of mixed moments of V-monotone independent random variables and prove the central and Poisson limit theorem. We obtain a combinatorial formula for the limit moments and we find the limit measures.

[1] Adrian Dacko. V-monotone independence. Colloq. Math., 162(1):77–107, 2020.
[2] Adrian Dacko. Central limit theorem for V-monotone independence. Complex Anal. Oper. Th., 19(128), 2025.
[3] Adrian Dacko. Poisson limit theorems for V-monotone independence. in preparation, 2026.
[4] Adrian Dacko and Lahcen Oussi. Distribution for nonsymmetric V-monotone position operators. arXiv:2603.19842, 2026.