R-cyclic families of matrices in free probability
From MaRDI portal
Publication:1604549
DOI10.1006/jfan.2001.3814zbMath0998.46030arXivmath/0101025OpenAlexW2025584960MaRDI QIDQ1604549
Dimitri Shlyakhtenko, Alexandru Nica, Roland Speicher
Publication date: 4 July 2002
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0101025
amalgamationnoncommutative probability spaceconvolution type formulaconvolution-type formulaR-cyclic family
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
Related Items (10)
Matricial circular systems and random matrices ⋮ On operator-valued bi-free distributions ⋮ The exactness of certain randomized \(C^{\ast }\)-algebras ⋮ Graph von Neumann algebras ⋮ Sample variance in free probability ⋮ \(k\)-divisible random variables in free probability ⋮ Operator-valued matrices with free or exchangeable entries ⋮ Freeness and matrix decompositions ⋮ Quantum invariant families of matrices in free probability ⋮ Stochastic aspects of the unitary dual group
Cites Work
- Addition of certain non-commuting random variables
- Some minimization problems for the free analogue of the Fisher information
- Maximality of the microstates free entropy for \(R\)-diagonal elements
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Some properties of crossings and partitions
- Combinatorics of free cumulants
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
- R-Diagonal Elements and Freeness With Amalgamation
- Free Random Variables
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- $R$-diagonal pairs - a common approach to Haar unitaries and circular elements
- On the multiplication of free N -tuples of noncommutative random variables
- R-diagonal pairs arising as free off-diagonal compressions
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: R-cyclic families of matrices in free probability
