Convergence for noncommutative rational functions evaluated in random matrices
From MaRDI portal
Publication:6144252
DOI10.1007/s00208-022-02530-5arXiv2103.05962MaRDI QIDQ6144252
Félix Parraud, Tobias Mai, Benoit Collins, Sheng Yin, Akihiro Miyagawa
Publication date: 29 January 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05962
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of the largest singular value of a polynomial in independent Wigner matrices
- Free probability and random matrices
- Central limits of product mappings between CAR-algebras
- Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting
- Translation-invariant integrals, and Fourier analysis on Clifford and Grassmann algebras
- Limit laws for random matrices and free products
- The analogues of entropy and of Fisher's information measure in free probability theory. II
- A rationality criterion coming from noncommutative geometry
- Applications of realizations (aka linearizations) to free probability
- Non-commutative rational functions in strong convergent random variables
- Matrix coefficient realization theory of noncommutative rational functions
- Non-commutative polynomials of independent Gaussian random matrices. The real and symplectic cases.
- The norm of polynomials in large random and deterministic matrices
- Noncommutative rational functions, their difference-differential calculus and realizations
- A rationality criterion for unbounded operators
- Scattering in quantum dots via noncommutative rational functions
- On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices
- On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices
- Spectral properties of polynomials in independent Wigner and deterministic matrices
- A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
- Rational identities and applications to algebra and geometry
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- On rings of operators
- Brown measures of unbounded operators affiliated with a finite von Neumann algebra
- Free Products of C ∗ -Algebras
- Division Rings and Group von Neumann Algebras
- A Normal Form in Free Fields
- ON THE CONSTRUCTION OF THE FREE FIELD
- Hilbert’s 17th problem in free skew fields
- A general solution to (free) deterministic equivalents
- Strong asymptotic freeness for Wigner and Wishart matrices
- The strong asymptotic freeness of Haar and deterministic matrices
- Free Products of Von Neumann Algebras
- L2-homology for von Neumann algebras
- The free field: realization via unbounded operators and Atiyah property
This page was built for publication: Convergence for noncommutative rational functions evaluated in random matrices
