Fetching the paper…
Reading the bibliography…
We consider general self-adjoint polynomials in several independent random matrices whose entries are centered and have the same variance.
Representation of events in nerve nets and finite automata
S. C. Kleene · 1956
Earlier work this paper cites.
On the definition of a family of automata
M. P. Schützenberger · 1961
Earlier work this paper cites.
R-functions - analytic functions mapping the upper halfplane into itself
I. S. Kac and M. G. Krein · 1974
Earlier work this paper cites.
Limit laws for random matrices and free products
D. Voiculescu · 1991
Earlier work this paper cites.
Convergence rate of expected spectral distributions of large random matrices. I. Wigner matrices
Z. D. Bai · 1993
Earlier work this paper cites.
On certain free product factors via an extended matrix model
K. Dykema · 1993
Earlier work this paper cites.
Operations on certain non-commutative operator-valued random variables
D. Voiculescu · 1995
Earlier work this paper cites.
No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
Z. D. Bai and J. W. Silverstein · 1998
Earlier work this paper cites.
Computing norms of free operators with matrix coefficients
F. Lehner · 1999
Earlier work this paper cites.
On matrix-valued Herglotz functions
F. Gesztesy and E. Tsekanovskii · 2000
Earlier work this paper cites.
Structured noncommutative multidimensional linear systems
J. A. Ball, G. Groenewald, and T. Malakorn · 2005
Earlier work this paper cites.
A new application of random matrices: Ext ( C red ∗ ( F 2 ) ) {\rm Ext}(C^{*}_{\rm red}(F_{2})) is not a group
U. Haagerup and S. Thorbjørnsen · 2005
Earlier work this paper cites.
Bounded real lemma for structured noncommutative multidimensional linear systems and robust control
J. A. Ball, G. Groenewald, and T. Malakorn · 2006
Earlier work this paper cites.
Conservative structured noncommutative multidimensional linear systems
J. A. Ball, G. Groenewald, and T. Malakorn · 2006
Earlier work this paper cites.
A random matrix approach to the lack of projections in C red ∗ ( 𝔽 2 ) C^{*}_{\rm red}(\mathbb{F}_{2})
U. Haagerup, H. Schultz, and S. Thorbjørnsen · 2006
Earlier work this paper cites.
Noncommutative convexity arises from linear matrix inequalities
J. W. Helton, S. A. McCullough, and V. Vinnikov · 2006
Earlier work this paper cites.
Strong asymptotic freeness for Wigner and Wishart matrices
M. Capitaine and C. Donati-Martin · 2007
Earlier work this paper cites.
Operator-valued semicircular elements: solving a quadratic matrix equation with positivity constraints
J. W. Helton, R. R. Far, and R. Speicher · 2007
Earlier work this paper cites.
A law of large numbers for finite-range dependent random matrices
G. W. Anderson and O. Zeitouni · 2008
Earlier work this paper cites.
An introduction to random matrices
G. W. Anderson, A. Guionnet, and O. Zeitouni · 2010
Cited alongside, same era.
Noncommutative rational series with applications
J. Berstel and C. Reutenauer · 2011
Cited alongside, same era.
Universality of local spectral statistics of random matrices
L. Erdős and H.-T. Yau · 2012
Cited alongside, same era.
The norm of polynomials in large random and deterministic matrices
C. Male · 2012
Cited alongside, same era.
Convergence of the largest singular value of a polynomial in independent Wigner matrices
G. W. Anderson · 2013
Cited alongside, same era.
Delocalization and diffusion profile for random band matrices
L. Erdős, A. Knowles, H.-T. Yau, and J. Yin · 2013
Cited alongside, same era.
Universality for a class of random band matrices
P. Bourgade, L. Erdős, H.-T. Yau, and J. Yin · 2017
Later among the works it cites.
Universality for random matrix flows with time-dependent density
L. Erdős and K. Schnelli · 2017
Later among the works it cites.
A dynamical approach to random matrix theory
L. Erdős and H.-T. Yau · 2017
Later among the works it cites.
Local laws for non-Hermitian random matrices
F. Götze, A. A. Naumov, and A. N. Tikhomirov · 2017
Later among the works it cites.
Convergence of local statistics of Dyson Brownian motion
B. Landon and H.-T. Yau · 2017
Later among the works it cites.
Edge statistics of Dyson Brownian motion
B. Landon and H.-T. Yau · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The local semicircle law for a general class of random matrices
L. Erdős, A. Knowles, H.-T. Yau, and J. Yin · 2013
Cited alongside, same era.
Random matrices: sharp concentration of eigenvalues
T. Tao and V. Vu · 2013
Cited alongside, same era.
Isotropic local laws for sample covariance and generalized Wigner matrices
A. Bloemendal, L. Erdős, A. Knowles, H.-T. Yau, and J. Yin · 2014
Cited alongside, same era.
Recent exact and asymptotic results for products of independent random matrices
G. Akemann and J. R. Ipsen · 2015
Cited alongside, same era.
A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices
G. W. Anderson · 2015
Cited alongside, same era.
Freely independent random variables with non-atomic distributions
D. Shlyakhtenko and P. Skoufranis · 2015
Cited alongside, same era.
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension
T. Mai, R. Speicher, and M. Weber · 2017
Later among the works it cites.
Local law for the product of independent non-Hermitian random matrices with independent entries
Yu. Nemish · 2017
Later among the works it cites.
M. Banna and T. Mai · 2018
Closest in time.
Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality
P. Bourgade, H.-T. Yau, and J. Yin · 2018
Closest in time.
On the local semicircular law for Wigner ensembles
F. Götze, A. Naumov, A. Tikhomirov, and D. Timushev · 2018
Closest in time.
Isotropic self-consistent equations for mean-field random matrices
Y. He, A. Knowles, and R. Rosenthal · 2018
Closest in time.
Applications of realizations (aka linearizations) to free probability
J. W. Helton, T. Mai, and R. Speicher · 2018
Closest in time.
The free field: zero divisors, Atiyah property and realizations via unbounded operators
T. Mai, R. Speicher, and S. Yin · 2018
Closest in time.
Random band matrices in the delocalized phase, III: Averaging fluctuations
F. Yang and J. Yin · 2018
Closest in time.
Stability of the matrix Dyson equation and random matrices with correlations
O. H. Ajanki, L. Erdős, and T. Krüger · 2019
Closest in time.
Location of the spectrum of Kronecker random matrices
J. Alt, L. Erdős, T. Krüger, and Yu. Nemish · 2019
Closest in time.
Local Kesten-McKay law for random regular graphs
R. Bauerschmidt, J. Huang, and H.-T. Yau · 2019
Closest in time.
Random matrices with slow correlation decay
L. Erdős, T. Krüger, and D. Schröder · 2019
Closest in time.