Fetching the paper…
Reading the bibliography…
We show that a perturbation of any fixed square matrix D by a random unitary matrix is well invertible with high probability.
Yu. A. Brudnyi, M. I. Ganzburg, On an extremal problem for polynomials in n n variables
1973
Earlier work this paper cites.
Yu. A. Brudnyi, M. I. Ganzburg, On the exact inequality for polynomials of many variables
1976
Earlier work this paper cites.
M. Ledoux and M. Talagrand, Probability in Banach spaces. Isoperimetry and processes
1991
Earlier work this paper cites.
J. Feinberg, A. Zee, Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism
1997
Earlier work this paper cites.
P. Diaconis, L. Saloff-Coste, Bounds for Kac’s master equation
2000
Earlier work this paper cites.
M. I. Ganzburg, Polynomial inequalities on measurable sets and their applications. II. Weighted measures
2000
Earlier work this paper cites.
U. Haagerup, F. Larsen, Brown’s spectral distribution measure for R-diagonal elements in finite von Neumann algebras,
2000
Earlier work this paper cites.
M. I. Ganzburg, Polynomial inequalities on measurable sets and their applications
2001
Cited alongside, same era.
M. Rudelson, Invertibility of random matrices: norm of the inverse
2008
Cited alongside, same era.
M. Rudelson, R. Vershynin, The Littlewood-Offord Problem and invertibility of random matrices
2008
Cited alongside, same era.
L. Erdös, B. Schlein, H.-T. Yau, Local semicircle law and complete delocalization for Wigner random matrices
2009
Cited alongside, same era.
T. Tao, V. Vu, Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
2009
Cited alongside, same era.
L. Erdös, B. Schlein, H.-T. Yau, Wegner estimate and level repulsion for Wigner random matrices
2010
M. Rudelson, R. Vershynin, Non-asymptotic theory of random matrices: extreme singular values
2010
Later among the works it cites.
T. Tao, V. Vu, Random matrices: the distribution of the smallest singular values
2010
Later among the works it cites.
A. Guionnet, M. Krishnapur, O. Zeitouni, The single ring theorem
2011
Later among the works it cites.
H. Nguyen, On the least singular value of random symmetric matrices
2011
Later among the works it cites.
T. Tao, V. Vu, Random matrices: universality of local eigenvalue statistics
2011
Later among the works it cites.
R. Vershynin, Introduction to the non-asymptotic analysis of random matrices
2012
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
F. Götze, A. Tikhomirov, The circular law for random matrices
2010
Cited alongside, same era.
R. Vershynin, Invertibility of symmetric random matrices
Cited in the paper.
O. Zeitouni, personal communication
Cited in the paper.
T. Tao, V. Vu, Random matrices: universality of ESDs and the circular law. With an appendix by Manjunath Krishnapur
2065
Closest in time.