Conditionally bi-free independence for pairs of faces
From MaRDI portal
Publication:2361333
DOI10.1016/j.jfa.2017.06.002zbMath1377.46046arXiv1609.07475OpenAlexW2526553733MaRDI QIDQ2361333
Publication date: 30 June 2017
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.07475
limit theoremsinfinite divisibilityconditional \((\ellconditionally bi-free independencer)\)-cumulants
Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
Related Items (8)
A combinatorial approach to the opposite bi-free partial S-transform ⋮ Analytic subordination for bi-free convolution ⋮ Free-Boolean independence for pairs of algebras ⋮ Shuffle algebras and non-commutative probability for pairs of faces ⋮ Bi-Boolean independence for pairs of algebras ⋮ Free-Boolean independence with amalgamation ⋮ Bi-monotonic independence for pairs of algebras ⋮ Categorial independence and Lévy processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic aspects of the bi-free partial \(R\)-transform
- On operator-valued bi-free distributions
- Independences and partial \(R\)-transforms in bi-free probability
- Free probability for pairs of faces. I
- Stable laws and domains of attraction in free probability theory
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Convolution and limit theorems for conditionally free random variables
- Combinatorics of bi-freeness with amalgamation
- Two-faced families of non-commutative random variables having bi-free infinitely divisible distributions
- THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
- Limit Theorems for Additive Conditionally Free Convolution
- Lectures on the Combinatorics of Free Probability
- On Two-faced Families of Non-commutative Random Variables
- THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS
- Double-ended queues and joint moments of left–right canonical operators on full Fock space
- INFINITE DIVISIBILITY FOR THE CONDITIONALLY FREE CONVOLUTION
- An analogue of the Levy-Hincin formula for bi-free infinitely divisible distributions
- Free probability for pairs of faces. II: \(2\)-variables bi-free partial \(R\)-transform and systems with rank \(\leq1\) commutation
This page was built for publication: Conditionally bi-free independence for pairs of faces
