Freely independent random variables with non-atomic distributions
From MaRDI portal
Publication:5264921
DOI10.1090/S0002-9947-2015-06434-4zbMath1338.46076arXiv1305.1920MaRDI QIDQ5264921
Dimitri Shlyakhtenko, Paul Skoufranis
Publication date: 20 July 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.1920
free entropynon-atomic distributionsfreely independent random variablessemicircular variablesAtiyah property for tracial \(\ast\)-algebras
Related Items (12)
Free entropy dimension and regularity of non-commutative polynomials ⋮ Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension ⋮ On finite free Fisher information for eigenvectors of a modular operator ⋮ Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem ⋮ Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information ⋮ Universality of free random variables: atoms for non-commutative rational functions ⋮ The free field: realization via unbounded operators and Atiyah property ⋮ The Dyson equation with linear self-energy: spectral bands, edges and cusps ⋮ A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices ⋮ Local laws for polynomials of Wigner matrices ⋮ Spectrum and pseudospectrum for quadratic polynomials in Ginibre matrices ⋮ Free probability theory. Abstracts from the workshop held December 2--8, 2018
Uses Software
Cites Work
- The polynomial method for random matrices
- 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
- Elliptic operators and compact groups
- The analogues of entropy and of Fisher's information measure in free probability theory. I
- Integrality of \(L^2\)-Betti numbers
- A random matrix approach to the lack of projections in \(C_{\mathrm {red}}^{\ast}(\mathbb F_2)\)
- Free Random Variables
- On a Theorem of R. Jungen
- A law of large numbers for finite-range dependent random matrices
- Division Rings and Group von Neumann Algebras
- The lamplighter group as a group generated by a 2-state automaton, and its spectrum
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Freely independent random variables with non-atomic distributions
