On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source I. Rank 1 Case

Jinho Baik, Dan Wang

Type: Article

Publication Date: 2011-01-10

Citations: 19

DOI: https://doi.org/10.1093/imrn/rnq257

View Publication

Locations

International Mathematics Research Notices - View

Similar Works

Action	Title	Year	Authors
+	On the largest eigenvalue of a Hermitian random matrix model with spiked external source I. Rank one case	2010	Jinho Baik Dong Wang
+ PDF Chat	On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source II: Higher Rank Cases	2012	Jinho Baik Dong Wang
+	On the largest eigenvalue of a Hermitian random matrix model with spiked external source II. Higher rank cases	2011	Jinho Baik Dong Wang
+ PDF Chat	The Largest Eigenvalue of Real Symmetric, Hermitian and Hermitian Self-dual Random Matrix Models with Rank One External Source, Part I	2012	Dong Wang
+ PDF Chat	Spectra of Random Hermitian Matrices with a Small-Rank External Source: The Critical and Near-Critical Regimes	2011	Marco Bertola Robert Buckingham S. Y. Lee Virgil U. Pierce
+	Large n-limit for Random matrices with External Source with 3 eigenvalues	2015	Xu Jian Engui Fan Yang Chen
+	Spectra of random Hermitian matrices with a small-rank external source: supercritical and subcritical regimes	2010	Marco Bertola Robert Buckingham Seung‐Yeop Lee Virgil U. Pierce
+	Large N-limit for random matrices with external source with three distinct eigenvalues	2016	Xu Jian Engui Fan Yang Chen
+ PDF Chat	Spectra of Random Hermitian Matrices with a Small-Rank External Source: The Supercritical and Subcritical Regimes	2013	Marco Bertola Robert Buckingham S. Y. Lee Virgil U. Pierce
+	Random matrix model with external source and a constrained vector equilibrium problem	2010	Pavel Bleher Steven Delvaux Arno B. J. Kuijlaars
+	Random matrix model with external source and a constrained vector equilibrium problem	2010	Pavel Bleher Steven Delvaux Arno B. J. Kuijlaars
+ PDF Chat	Random matrix model with external source and a constrained vector equilibrium problem	2010	Pavel Bleher Steven Delvaux Arno B. J. Kuijlaars
+ PDF Chat	Large n Limit of Gaussian Random Matrices with External Source, Part II	2005	Alexander Ivanovich Aptekarev Pavel Bleher Arno B. J. Kuijlaars
+	Spectral curves, variational problems and the hermitian matrix model with external source	2019	Andrei Martı́nez-Finkelshtein Guilherme L. F. Silva
+	Spectral curves, variational problems and the hermitian matrix model with external source	2019	Andrei Martı́nez-Finkelshtein Guilherme L. F. Silva
+	Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source	2009	Alexander Ivanovich Aptekarev Владимир Генрихович Лысов D. N. Tulyakov
+ PDF Chat	Large n Limit of Gaussian Random Matrices with External Source, Part I	2004	Pavel Bleher Arno B. J. Kuijlaars
+	Local law for eigenvalues of random Hermitian matrices with external source	2013	Linh V. Tran
+	Local law for eigenvalues of random Hermitian matrices with external source	2013	Linh M. Tran
+	On a relationship between high rank cases and rank one cases of Hermitian random matrix models with external source	2012	Jinho Baik Dong Wang

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	Rank 1 real Wishart spiked model	2012	M. Y. Mo
+	The rank 1 real Wishart spiked model	2011	M. Y. Mo
+	On a relationship between high rank cases and rank one cases of Hermitian random matrix models with external source	2012	Jinho Baik Dong Wang
+ PDF Chat	On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source II: Higher Rank Cases	2012	Jinho Baik Dong Wang
+ PDF Chat	Universality for Random Matrices with Equi-spaced External Source: A Case Study of a Biorthogonal Ensemble	2022	Tom Claeys Dong Wang
+ PDF Chat	Brownian motions with one-sided collisions: the stationary case	2015	Patrik L. Ferrari Herbert Spohn Thomas Weiß
+	Riemann-Hilbert Characterisation of Rational Functions with a General Distribution of Poles on the Extended Real Line Orthogonal with Respect to Varying Exponential Weights: Multi-Point Padé Approximants and Asymptotics	2019	A. H. Vartanian Xiaowen Zhou
+ PDF Chat	The Largest Eigenvalue of Real Symmetric, Hermitian and Hermitian Self-dual Random Matrix Models with Rank One External Source, Part I	2012	Dong Wang
+ PDF Chat	Eigenvector distribution in the critical regime of BBP transition	2021	Zhigang Bao Dong Wang
+	The k-tacnode process	2018	Robert Buckingham Karl Liechty

Works Cited by This (40)

Action	Title	Year	Authors
+	The isomonodromy approach to matric models in 2D quantum gravity	1992	A. S. Fokas A. R. Its A. V. Kitaev
+	None	2003	Pavel Bleher Arno B. J. Kuijlaars
+	The rank 1 real Wishart spiked model	2011	M. Y. Mo
+	The largest sample eigenvalue distribution in the rank 1 quaternionic spiked model of Wishart ensemble	2009	Dong Wang
+ PDF Chat	The Largest Eigenvalue of Real Symmetric, Hermitian and Hermitian Self-dual Random Matrix Models with Rank One External Source, Part I	2012	Dong Wang
+	Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields	2000	Arno B. J. Kuijlaars K. T-R McLaughlin
+ PDF Chat	Products and ratios of characteristic polynomials of random Hermitian matrices	2003	Jinho Baik Percy Deift Eugene Strahov
+ PDF Chat	The Largest Eigenvalue of Rank One Deformation of Large Wigner Matrices	2007	Delphine Féral Sandrine Péché
+ PDF Chat	Universal distribution of random matrix eigenvalues near the ‘birth of a cut’ transition	2006	Bertrand Eynard
+	Logarithmic Potentials with External Fields	1997	Edward B. Saff Вилмос Тотик