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- Title
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces.
- Authors
Oussi, Lahcen; Wysoczański, Janusz
- Abstract
In this paper, we present analogues of the Poisson limit distribution for the noncommutative bm-independence, which is associated with several positive symmetric cones. We construct related discrete Fock spaces with creation, annihilation and conservation operators, and prove Poisson type limit theorems for them. Properties of the positive cones, in particular the volume characteristic property they enjoy, and the combinatorics of labeled noncrossing partitions, play crucial role in these considerations.
- Subjects
LIMIT theorems; FOCK spaces; POISSON distribution; COMBINATORICS; CONES
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2024, Vol 27, Issue 2, p1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025723500170