2025/05/23 by Daniel Pepper, Pepper, Daniel
Computer Science · Mathematics · #Benford’s Law and Fraud Detection #Computability, Logic, AI Algorithms #FOS: Mathematics #Functional Analysis (math.FA) #Logic, Reasoning, and Knowledge #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2505.18274
openalex publication_date 2025/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.