Local limit theorems in free probability theory
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Publication:989184
DOI10.1214/09-AOP505zbMath1202.46078arXiv1010.3579MaRDI QIDQ989184
Publication date: 30 August 2010
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3579
Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) (L^p)-limit theorems (60F25)
Related Items (11)
Uniform convergence and the free central limit theorem ⋮ Asymptotic expansions in the CLT in free probability ⋮ An inequality for the distance between densities of free convolutions ⋮ Two-state free Brownian motions ⋮ Superconvergence to freely infinitely divisible distributions ⋮ Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices ⋮ Faster convergence in the free central limit theorem ⋮ Superconvergence and regularity of densities in free probability ⋮ Local limit theorems for multiplicative free convolutions ⋮ On the support of the free additive convolution ⋮ The Brown measure of the sum of a self-adjoint element and an elliptic element
Cites Work
- Atoms and regularity for measures in a partially defined free convolution semigroup
- A free analogue of Shannon's problem on monotonicity of entropy
- Entropy and the central limit theorem
- Addition of certain non-commuting random variables
- The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
- Limit laws for random matrices and free products
- Addition of freely independent random variables
- Maximizing free entropy
- The analogues of entropy and of Fisher's information measure in free probability theory. I
- Logarithmic Sobolev inequalities, matrix models and free entropy
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables
- The central limit theorem for free additive convolution
- On superconvergence of sums of free random variables
- A non-commutative extension of abstract integration
- Free Random Variables
- FREE ENTROPY
- On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution
- On the free convolution with a semi-circular distribution
- Solution of Shannon’s problem on the monotonicity of entropy
- On the law of addition of random matrices.
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