Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information
From MaRDI portal
Publication:2192366
DOI10.1016/j.jfa.2020.108710zbMath1460.46057arXiv1809.11153OpenAlexW3042626547MaRDI QIDQ2192366
Publication date: 17 August 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.11153
Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Convergence of probability measures (60B10)
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Cites Work
- Unnamed Item
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- Free entropy dimension and regularity of non-commutative polynomials
- Free analysis and random matrices
- Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension
- A free stochastic partial differential equation
- Free probability and random matrices
- Convergence rate of expected spectral distributions of large random matrices. I: Wigner matrices
- Convergence rate of expected spectral distributions of large random matrices. II: Sample covariance matrices
- Free diffusions and matrix models with strictly convex interaction
- A note about proving non-\(\Gamma \) under a finite non-microstates free Fisher information assumption
- Spectral analysis of large dimensional random matrices
- 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
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- The analogues of entropy and of Fisher's information measure in free probability theory. I
- The analogues of entropy and of Fisher's information measure in free probability theory. II
- Random matrices with complex Gaussian entries
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
- Applications of realizations (aka linearizations) to free probability
- Non-commutative polynomials of independent Gaussian random matrices. The real and symplectic cases.
- The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
- Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform
- The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
- Nonnegative measures belonging to \(H^{-1}(\mathbb{R}^2)\)
- Second order asymptotics for matrix models
- The rate of convergence for spectra of GUE and LUE matrix ensembles
- A random matrix approach to the lack of projections in \(C_{\mathrm {red}}^{\ast}(\mathbb F_2)\)
- A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
- Unbounded derivations, free dilations, and indecomposability results for II$_1$ factors
- FREE ENTROPY
- Rate of Convergence to the Semicircular Law for the Gaussian Unitary Ensemble
- Freely independent random variables with non-atomic distributions
- L2-homology for von Neumann algebras
