$R$-diagonal pairs - a common approach to Haar unitaries and circular elements
From MaRDI portal
Publication:4335108
zbMath0889.46053arXivfunct-an/9604012MaRDI QIDQ4335108
Roland Speicher, Alexandru Nica
Publication date: 2 June 1998
Full work available at URL: https://arxiv.org/abs/funct-an/9604012
Fourier transformpolar decompositionnon-commutative probability space\(R\)-transformHaar unitary\(R\)-diagonal paircircular elements
Combinatorics of partially ordered sets (06A07) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)
Related Items
Limit laws for $R$-diagonal variables in a tracial probability space, Angles between Haagerup-Schultz projections and spectrality of operators, \({\mathcal{R}}\)-diagonal dilation semigroups, Eta-diagonal distributions and infinite divisibility for R-diagonals, Asymptotic \(\ast\)-moments of some random Vandermonde matrices, Graph von Neumann algebras, Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach, \(k\)-divisible random variables in free probability, Enumeration of non-crossing pairings on bit strings, Support convergence in the single ring theorem, Limiting spectral distribution of the product of truncated Haar unitary matrices, Quantum symmetries and strong Haagerup inequalities, On operator valued Haar unitaries and bipolar decompositions of R-diagonal elements, Operator-valued matrices with free or exchangeable entries, The single ring theorem, Unnamed Item, R-Diagonal Elements and Freeness With Amalgamation, Commutators of free random variables, Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements, On transitive algebras containing a standard finite von Neumann subalgebra, Star-cumulants of free unitary Brownian motion, Resolvents of $\mathscr{R}$-diagonal operators, Haar states and Lévy processes on the unitary dual group, Inhomogeneous circular law for correlated matrices, Products of independent elliptic random matrices, An asymptotic property of large matrices with identically distributed Boolean independent entries, Hinčin's theorem for additive free convolutions of tracial \(R\)-diagonal \(\ast\)-distributions, On the construction of free random variables, Combinatorics of free cumulants, Free analog of pressure and its Legendre transform, Mixed moments of Voiculescu's Gaussian random matrices, Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras, R-cyclic families of matrices in free probability
