DOI10.1016/0022-1236(86)90062-5zbMath0651.46063OpenAlexW1995946241MaRDI QIDQ1106430
Dan-Virgil Voiculescu
Publication date: 1986
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(86)90062-5
Free probability for pairs of faces. III: 2-variables bi-free partial \(S\)- and \(T\)-transforms ⋮
Unitarily invariant ergodic matrices and free probability ⋮
Relations between convolutions and transforms in operator-valued free probability ⋮
Limit laws for $R$-diagonal variables in a tracial probability space ⋮
Local stability of the free additive convolution ⋮
Gaussian fluctuations of Young diagrams and structure constants of Jack characters ⋮
Statistical deconvolution of the free Fokker-Planck equation at fixed time ⋮
Range of random walks on free products ⋮
Analytic subordination for bi-free convolution ⋮
A phase transition for tails of the free multiplicative convolution powers ⋮
A noncommutative extended de Finetti theorem ⋮
On the Matsumoto-Yor property in free probability ⋮
Unimodality of the freely selfdecomposable probability laws ⋮
Superconvergence to the central limit and failure of the Cramér theorem for free random variables ⋮
Multilinear function series and transforms in free probability theory ⋮
Eta-diagonal distributions and infinite divisibility for R-diagonals ⋮
A short proof for the twisted multiplicativity property of the operator-valued \(S\)-transform ⋮
Universality classes for general random matrix flows ⋮
Functional equations solving initial-value problems of complex Burgers-type equations for one-dimensional log-gases ⋮
Semi-stable distributions in free probability theory ⋮
The flow of polynomial roots under differentiation ⋮
Uniform convergence and the free central limit theorem ⋮
Additive/multiplicative free subordination property and limiting eigenvectors of spiked additive deformations of Wigner matrices and spiked sample covariance matrices ⋮
The law of large numbers for free identically distributed random variables ⋮
Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem ⋮
Asymptotic expansions in the CLT in free probability ⋮
An inequality for the distance between densities of free convolutions ⋮
Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform ⋮
Decompositions of the free additive convolution ⋮
On the Hausdorff continuity of free Lévy processes and free convolution semigroups ⋮
Limit behavior of the spectrum in a class of large random matrices ⋮
Cumulants, lattice paths, and orthogonal polynomials ⋮
The monotone cumulants ⋮
Universality for random matrix flows with time-dependent density ⋮
Free subexponentiality ⋮
Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution ⋮
Freeness of linear and quadratic forms in von Neumann algebras ⋮
Sums of commutators in free probability ⋮
Simple maps, Hurwitz numbers, and topological recursion ⋮
Free probability for pairs of faces. I ⋮
Infinite divisibility and a non-commutative Boolean-to-free Bercovici-Pata bijection ⋮
On the supports of measures in free multiplicative convolution semigroups ⋮
The free tangent law ⋮
The arithmetic of distributions in free probability theory ⋮
A limit theorem for products of free unitary operators ⋮
Limit laws for random matrices and free products ⋮
Dual Lukacs regressions for non-commutative variables ⋮
The spectral norm of random inner-product kernel matrices ⋮
Two-parameter non-commutative central limit theorem ⋮
Some geometric properties of the subordination function associated to an operator-valued free convolution semigroup ⋮
Commutators of free random variables ⋮
Matricial \(R\)-transform ⋮
Addition of freely independent random variables ⋮
Asymptotic expansion of spherical integral ⋮
The Lebesgue decomposition of the free additive convolution of two probability distributions ⋮
A ``Fourier transform for multiplicative functions on non-crossing partitions ⋮ Free probability theory. And its avatars in representation theory, random matrices, and operator algebras; also featuring: non-commutative distributions ⋮ Limit theorems for free Lévy processes ⋮ On fixed points of self maps of the free ball ⋮ Sums of random polynomials with independent roots ⋮ A Khintchine decomposition for free probability ⋮ The Urbanik generalized convolutions in the non-commutative probability and a forgotten method of constructing generalized convolution ⋮ Eigenvectors and eigenvalues in a random subspace of a tensor product ⋮ Two-parameter families of quantum symmetry groups ⋮ The \((q, t)\)-Gaussian process ⋮ Chordal Loewner families and univalent Cauchy transforms ⋮ On free generalized inverse Gaussian distributions ⋮ Generalised operations in free harmonic analysis ⋮ The Lévy-Itô decomposition in free probability ⋮ Atoms and regularity for measures in a partially defined free convolution semigroup ⋮ Free Stein kernels and an improvement of the free logarithmic Sobolev inequality ⋮ A Fourier view on the \(R\)-transform and related asymptotics of spherical integrals ⋮ Spectral densities of Wishart-Lévy free stable random matrices ⋮ Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures ⋮ Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations ⋮ Local limit theorems in free probability theory ⋮ Subordination methods for free deconvolution ⋮ Counting self-avoiding walks on free products of graphs ⋮ On the computation of classical, Boolean and free cumulants ⋮ Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices ⋮ On sums of \(q\)-independent \(\text{SU}_ q(2)\) quantum variables ⋮ On the construction of free random variables ⋮ An example of a generalized Brownian motion ⋮ A non-commutative central limit theorem ⋮ Realization of free white noises ⋮ Multi-variable subordination distributions for free additive convolution ⋮ The polynomial method for random matrices ⋮ Jack polynomials and free cumulants ⋮ The Brown measure of the sum of a self-adjoint element and an elliptic element ⋮ Remarks on a free analogue of the beta prime distribution ⋮ Spectral rigidity for addition of random matrices at the regular edge ⋮ A one-parameter family of transforms, linearizing convolution laws for probability distributions ⋮ Rigorous mean-field model for coherent-potential approximation: Anderson model with free random variables. ⋮ The analogues of entropy and of Fisher's information measure in free probability theory. I ⋮ Duality for optimal couplings in free probability ⋮ R-cyclic families of matrices in free probability ⋮ Itô formula for free stochastic integrals ⋮ Lower bound for the norm of a vertex-transitive graph ⋮ Multiplicative functions on the lattice of non-crossing partitions and free convolution ⋮ Troupes, cumulants, and stack-sorting
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