A continuous semigroup of notions of independence between the classical and the free one
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Publication:533743
DOI10.1214/10-AOP573zbMath1222.46049arXiv0811.2335MaRDI QIDQ533743
Florent Benaych-Georges, Thierry Lévy
Publication date: 6 May 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.2335
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Random matrices (algebraic aspects) (15B52)
Related Items (9)
Central limit theorems for the brownian motion on large unitary groups ⋮ RANDOM RIGHT EIGENVALUES OF GAUSSIAN QUATERNIONIC MATRICES ⋮ Spectral distribution of the free Jacobi process, revisited ⋮ Inverse of the flow and moments of the free Jacobi process associated with one projection ⋮ Liberation of projections ⋮ Freeness over the diagonal for large random matrices ⋮ Star-cumulants of free unitary Brownian motion ⋮ Traffic Distributions and Independence: Permutation Invariant Random Matrices and the Three Notions of Independence ⋮ Relating moments of self-adjoint polynomials in two orthogonal projections
Cites Work
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- Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
- A matrix interpolation between classical and free max operations. I: The univariate case
- Notes on non-commutative integration
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
- Rectangular random matrices, related convolution
- RANDOM RIGHT EIGENVALUES OF GAUSSIAN QUATERNIONIC MATRICES
- Free Random Variables
- Lectures on the Combinatorics of Free Probability
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