Publications


  1. ``Asymptotics applied to a neural network'' Biological Cybernetics 22(2) (1976), pp. 73-84.
  2. (with Ulf Grenander) ``Spectral analysis of networks with random topologies'' SIAM Journal on Applied Mathematics 32(2) (1977), pp. 499-519.
  3. ``On word classification using a neural network'' Pattern Analysis Report No. 43 (1976), Division of Applied Mathematics, Brown University (results presented in chapter 7 of Pattern Analysis: Lectures in Pattern Theory, vol. 2, by Ulf Grenander, Springer-Verlag, Berlin, 1978).
  4. (with James Anderson and Stephen Ritz) ``Preprocessing with a simple neural model'' Neuroscience Abstracts 2(618) (1976), p. 438.
  5. (with James Anderson, Stephen Ritz, and Randall Jones) ``Distinctive features, categorical perception, and probability learning: some applications of a neural model'' Psychological Review 84(5) (1977), pp. 413-451.
  6. (with James Anderson and Stephen Ritz) ``Vowel preprocessing with a neurally based model'' in: Conference Record: 1977 IEEE International committee on Acoustics and signal processing, Hartford, Conn.
  7. ``Stability analysis and correction of pathological behavior of neural networks'' Pattern Analysis Report No. 48(1977), Division of Applied Mathematics, Brown University.
  8. (with James Anderson) ``Reply to Grossberg'' Psychological Review 85(6) (1978), pp. 597-603.
  9. (with Tore Dalenius) ``Public key cryptosystems: an elementary overview'' Confidentiality in Surveys, Report No. 29, Department of Statistics, University of Stockholm.
  10. ``On the randomness of eigenvectors generated from networks with random topologies'' SIAM Journal on Applied Mathematics 37(2) (1979), pp. 235-245.
  11. ``Describing the behavior of eigenvectors of random matrices using sequences of measures on orthogonal groups'' SIAM Journal on Mathematical Analysis 12(2) (1981), pp. 274-281.
  12. (with Stephen Campbell) ``A nonlinear system with singular vector field near equilibria'' Applicable Analysis 12 (1981), pp. 57-71.
  13. ``Some limit theorems on the eigenvectors of large dimensional sample covariance matrices'' Journal of Multivariate Analysis 15(3) (1984), pp. 295-324.
  14. ``On the largest eigenvalue of a large dimensional sample covariance matrix'' (1984), Technical Report.
  15. ``Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices'' Journal of Multivariate Analysis 15(3) (1984), pp. 408-409.
  16. ``The limiting eigenvalue distribution of a multivariate F matrix'' SIAM Journal on Mathematical Analysis 16(3) (1985), pp. 641-646.
  17. ``The smallest eigenvalue of a large dimensional Wishart matrix'' Annals of Probability 13(4) (1985), pp. 1364-1368.
  18. ``Eigenvalues and eigenvectors of large dimensional sample covariance matrices'' Random Matrices and their Applications, Contemporary Mathematics 50, American Mathematical Society, Providence, 1986, pp. 153-159.
  19. (with Z.D. Bai and Y.Q. Yin) ``A note on the largest eigenvalue of a large dimensional sample covariance matrix" Journal of Multivariate Analysis 26(2) (1988), pp. 166-168.
  20. ``On the eigenvectors of large dimensional sample covariance matrices'' Journal of Multivariate Analysis 30(1) (1989), pp. 1-16.
  21. ``On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix" Journal of Multivariate Analysis 30(2) (1989), pp. 307-311.
  22. ``Weak convergence of random functions defined by the eigenvectors of sample covariance matrices" Annals of Probability 18(3) (1990), pp. 1174-1194.
  23. (with Patrick L. Combettes) ``Signal detection via spectral theory of large dimensional random matrices" IEEE Transactions on Signal Processing 40(8),(1992), pp. 2100-2105.
  24. (with Patrick L. Combettes) ``Comments on `A Unitary Transformation Method for Angle-of-Arrival Estimation' '' Technical Report.
  25. (with Patrick L. Combettes) ``Spectral theory of large dimensional random matrices applied to signal detection'', Technical Report.
  26. (with Patrick L. Combettes) ``Large dimensional random matrix theory for signal detection and estimation in array processing'' Proceedings of the Sixth SSAP Workshop on Statistical Signal and Array Processing Victoria, B.C. October 7-9, 1992, pp. 276-279.
  27. ``The spectral radii and norms of large dimensional non-central random matrices'' Stochastic Models 10(3) (1994), 525-532.
  28. (with Z.D. Bai) ``On the empirical distribution of eigenvalues of a class of large dimensional random matrices'' Journal of Multivariate Analysis 54(2) (1995), pp. 175-192.
  29. (with Patrick L. Combettes) ``On the rectification of covariance matrices'' Technical Report.
  30. (with Sang-Il Choi) ``Analysis of the limiting spectral distribution of large dimensional random matrices'' Journal of Multivariate Analysis 54(2) (1995), pp. 295-309.
  31. ``Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices'' Journal of Multivariate Analysis 55(2) (1995), pp. 331-339.
  32. (with Z.D. Bai) ``No eigenvalues outside the suppport of the limiting spectral distribution of large dimensional random matrices'' Annals of Probability 26(1) (1998), pp. 316-345.
  33. ``Complements and new developments'', discussion paper in: Z. D. Bai (1999) ``Methodologies in spectral analysis of large dimensional random matrices, a review'' Statistica Sinica 9(3) (1999), pp 611-677.
  34. (with Z.D. Bai) ``Exact separation of eigenvalues of large dimensional sample covariance matrices'' Annals of Probability 27(3) (1999), pp. 1536-1555.
  35. (with Z.D. Bai) ``CLT of linear spectral statistics of large dimensional sample covariance matrices'' Annals of Probability 32(1A) (2004), pp. 553-605.
  36. (with Jinho Baik) ``Eigenvalues of large sample covariance matrices of spiked population models" Journal of Multivariate Analysis 97(6) (2006), pp. 1382-1408.
  37. (with Brian Rider) ``Gaussian fluctuations for non-Hermitian random matrix ensembles'' Annals of Probability 34(6) (2006), pp. 2118-2143.
  38. (with Antonia M. Tulino) ``Theory of Large Dimensional Random Matrices for Engineers" , Invited paper, in: Proceedings of the IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications, Manaus, Brazil, Aug. 2006, pp. 458-464.
  39. (with Z.D. Bai) Spectral Analysis of Large Dimensional Random Matrices, Science Press, Beijing, 2006.
  40. (with Brent Dozier) ``On the Empirical Distribution of Eigenvalues of Large Dimensional Information-Plus-Noise Type Matrices'' Journal of Multivariate Analysis 98 (2007), pp. 678-694.
  41. (with Brent Dozier) ``Analysis of the Limiting Spectral Distribution of Large Dimensional Information-Plus-Noise Type Matrices'' Journal of Multivariate Analysis 98 (2007), pp. 1099-1122.
  42. (with Z.D. Bai) ``On the signal-to-interference-ratio of CDMA systems in wireless communications'' Annals of Applied Probability 17(1) (2007), pp. 81-101.
  43. (with Debashis Paul) ``No Eigenvalues Outside the Support of the Limiting Empirical Spectral Distribution of a Separable Covariance Matrix" (submitted).
  44. (with Raj Rao) ``Fundamental Limit of Sample Eigenvalue Based on Detection of Signals in Colored Noise Using Relatively Few Samples'' selected for presentation at the 41-st Asilomar Conference on Signal, Systems, and Computers (2007).