Limits of spiked random matrices II

Halmos, Paul R.P. R. (1951). Introduction to Hilbert Space and the Theory of Spectral Multiplicity. Chelsea, New York

1951

Earlier work this paper cites.

Dyson, Freeman J.F. J. (1962). A Brownian-motion model for the eigenvalues of a random matrix. J. Math. Phys. 3 1191–1198

1962

Earlier work this paper cites.

Reid, William T.W. T. (1971). Ordinary Differential Equations. Wiley, New York

1971

Earlier work this paper cites.

Reid, William T.W. T. (1972). Riccati Differential Equations. Academic Press, New York

1972

Earlier work this paper cites.

Morse, MarstonM. (1973). Variational Analysis: Critical Extremals and Sturmian Extensions. Interscience Publishers [Wiley], New York

1973

Earlier work this paper cites.

Reed, MichaelM. andSimon, BarryB. (1980). Methods of Modern Mathematical Physics. I: Functional Analysis, 2nd ed. Academic Press, Inc., New York

1980

Earlier work this paper cites.

Trotter, Hale F.H. F. (1984). Eigenvalue distributions of large Hermitian matrices; Wigner’s semicircle law and a theorem of Kac, Murdock, and Szegő. Adv. Math. 54 67–82

1984

Earlier work this paper cites.

Ethier, Stewart N.S. N. andKurtz, Thomas G.T. G. (1986). Markov Processes: Characterization and Convergence. Wiley, New York

1986

Earlier work this paper cites.

Baur, G.G. andKratz, W.W. (1989). A general oscillation theorem for selfadjoint differential systems with applications to Sturm–Liouville eigenvalue problems and quadratic functionals. Rend. Circ. Mat. Palermo (2) 38 329–370

1989

Earlier work this paper cites.

Morse, MarstonM. (1932). The Calculus of Variations in the Large. American Mathematical Society Colloquium Publications 18. Amer. Math. Soc., Providence, RI. (1996 reprint of the original)

1996

Cited alongside, same era.

Weidmann, JoachimJ. (1997). Strong operator convergence and spectral theory of ordinary differential operators. Univ. Iagel. Acta Math. 34 153–163

Original

1997

Cited alongside, same era.

Baik, JinhoJ. andRains, Eric M.E. M. (2000). Limiting distributions for a polynuclear growth model with external sources. J. Stat. Phys. 100 523–541

2000

Cited alongside, same era.

Baik, JinhoJ. andRains, Eric M.E. M. (2001). The asymptotics of monotone subsequences of involutions. Duke Math. J. 109 205–281

2001

Cited alongside, same era.

Johnstone, Iain M.I. M. (2001). On the distribution of the largest eigenvalue in principal components analysis. Ann. Statist. 29 295–327

Wang, DongD. (2008). Spiked Models in Wishart Ensemble, Ph.D. thesis, Brandeis Univ. Available at \arxivurl

Original

2008

Later among the works it cites.

Anderson, Greg W.G. W., Guionnet, AliceA. andZeitouni, OferO. (2010). An Introduction to Random Matrices. Cambridge Univ. Press, Cambridge

2010

Later among the works it cites.

Ramírez, José A.J. A., Rider, BrianB. andVirág, BálintB. (2011). Beta ensembles, stochastic Airy spectrum, and a diffusion. J. Amer. Math. Soc. 24 919–944

2011

Closest in time.

Mo, M. Y.M. Y. (2012). Rank 1 real Wishart spiked model. Comm. Pure Appl. Math. 65 1528–1638

2012

Closest in time.

Baik, JinhoJ. andWang, DongD. (2013). On the largest eigenvalue of a Hermitian random matrix model with spiked external source II: Higher rank cases. Int. Math. Res. Not. IMRN 14 3304–3370

2013