How Free-Free-Boolean Independence Arises in Bi-Free Probability
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915303161593856 |
|---|---|
| author | Pepper, Daniel |
| author_facet | Pepper, Daniel |
| contents | This work concerns notions of multi-algebra independence introduced by Liu and how they can be studied in the context of bi-free probability. In particular, we show how the free-free-Boolean independence for triples of algebras can be embedded intro and therefore studied from a lens of bi-free probability. It is also shown how its cumulants can be constructed from the bi-free cumulants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | How Free-Free-Boolean Independence Arises in Bi-Free Probability Pepper, Daniel Functional Analysis Probability This work concerns notions of multi-algebra independence introduced by Liu and how they can be studied in the context of bi-free probability. In particular, we show how the free-free-Boolean independence for triples of algebras can be embedded intro and therefore studied from a lens of bi-free probability. It is also shown how its cumulants can be constructed from the bi-free cumulants. |
| title | How Free-Free-Boolean Independence Arises in Bi-Free Probability |
| topic | Functional Analysis Probability |
| url | https://arxiv.org/abs/2505.18274 |