Random matrices: Law of the determinant

Szekered, G.G. andTurán, P.P. (1937). On an extremal problem in the theory of determinants (Hungarian). Math. Naturwiss. Am. Ungar. Akad. Wiss. 56 796–806

1937

Earlier work this paper cites.

Berry, Andrew C.A. C. (1941). The accuracy of the Gaussian approximation to the sum of independent variates. Trans. Amer. Math. Soc. 49 122–136

1941

Earlier work this paper cites.

Forsythe, G. E.G. E. andTukey, J. W.J. W. (1952). The extent of n random unit vectors. Bull. Amer. Math. Sot. 58 502

1952

Earlier work this paper cites.

Nyquist, H.H., Rice, S. O.S. O. andRiordan, J.J. (1954). The distribution of random determinants. Quart. Appl. Math. 12 97–104

1954

Earlier work this paper cites.

Turán, P.P. (1955). On a problem in the theory of determinants. Acta Math. Sinica 5 411–423

1955

Earlier work this paper cites.

Goodman, N. R.N. R. (1963). The distribution of the determinant of a complex Wishart distributed matrix. Ann. Math. Statist. 34 178–180

1963

Earlier work this paper cites.

Komlós, J.J. (1967). On the determinant of ( 0 , 1 ) (0,1) matrices. Studia Sci. Math. Hungar. 2 7–21

1967

Earlier work this paper cites.

Prékopa, A.A. (1967). On random determinants. I. Studia Sci. Math. Hungar. 2 125–132

1967

Earlier work this paper cites.

Komlós, J.J. (1968). On the determinant of random matrices. Studia Sci. Math. Hungar. 3 387–399

1968

Earlier work this paper cites.

Gīrko, V. L.V. L. (1979). A central limit theorem for random determinants. Theory Probab. Appl. 24 729–740

1979

Cited alongside, same era.

Dembo, A.A. (1989). On random determinants. Quart. Appl. Math. 47 185–195

1989

Cited alongside, same era.

Girko, V. L.V. L. (1990). Theory of Random Determinants. Mathematics and Its Applications (Soviet Series) 45. Kluwer Academic, Dordrecht. Translated from the Russian

1990

Cited alongside, same era.

Kahn, JeffJ., Komlós, JánosJ. andSzemerédi, EndreE. (1995). On the probability that a random ± 1 \pm 1 -matrix is singular. J. Amer. Math. Soc. 8 223–240

1995

Cited alongside, same era.

Girko, V. L.V. L. (1997). A refinement of the central limit theorem for random determinants. Theory Probab. Appl. 42 121–129

1997

Cited alongside, same era.

El Machkouri, M.M. andOuchti, L.L. (2007). Exact convergence rates in the central limit theorem for a class of martingales. Bernoulli 13 981–999

2007

Later among the works it cites.

Rouault, AlainA. (2007). Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles. ALEA Lat. Am. J. Probab. Math. Stat. 3 181–230

2007

Later among the works it cites.

Tao, TerenceT. andVu, VanV. (2007). On the singularity probability of random Bernoulli matrices. J. Amer. Math. Soc. 20 603–628

2007

Later among the works it cites.

Rudelson, MarkM. andVershynin, RomanR. (2008). The Littlewood–Offord problem and invertibility of random matrices. Adv. Math. 218 600–633

2008

Later among the works it cites.

Tao, TerenceT. andVu, VanV. (2008). Random matrices: The circular law. Commun. Contemp. Math. 10 261–307

2008

Later among the works it cites.