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(4) (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(6) (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 Raj Rao) ``Fundamental limit of sample eigenvalue based on detection of signals in colored noise using relatively few samples'' Signals, Systems and Computers, 2007. ACSSC 2007. Conference Record of the Forty-First Asilomar Conference on, (2007), pp. 686-690.
  44. (with Debashis Paul) ``No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix" Journal of Multivariate Analysis 100(1) (2009), pp. 37-57.
  45. (with Romain Couillet and Merouane Debbah) ``Rate region of correlated MIMO multiple access and broadcast channels" 2009 IEEE Workshop on Statistical Signal Processing, September, Cardiff, UK, pp. 213-216.
  46. (with Merouane Debbah and Romain Couillet) ``Asymptotic capacity of multi-user MIMO communications" 2009 IEEE Information Theory Workshop (ITW 2009), October, Sicily, Italy, pp.16-20.
  47. ``The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices'' Random Matrix Theory and its Applications, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 18, World Scientific, Singapore 2009, pp. 1-25.
  48. (with Romain Couillet and Merouane Debbah) ``Eigen-inference for multi-source power estimation" 2010 IEEE International Symposium on Information Theory, June, Austin, Texas, pp. 1673-1677.
  49. (with Z.D. Bai) Spectral Analysis of Large Dimensional Random Matrices, Second Edition, Springer, New York, 2009.
  50. (with Raj Rao) ``Fundamental limit of sample generalized eigenvalue based detection of signals in noise using relatively few signal-bearing and noise-only samples'' IEEE Journal of Selected Topics in Signal Processing 4(3) (2010), pp. 468-480.
  51. (with Romain Couillet, Z.D. Bai, and Merouane Debbah) ``Eigen-inference for Energy Estimation of Multiple Sources" IEEE Transactions on Information Theory 57(4) (2011), pp. 2420-2439.
  52. (with Merouane Debbah and Romain Couillet) ``A Deterministic Equivalent for the Capacity Analysis of Correlated Multi-user MIMO Channels" IEEE Transactions on Information Theory 57(6) (2011), pp. 3493-3514.
  53. (with Z.D. Bai) ``No Eigenvalues Outside the Support of the Limiting Spectral Distribution of Information-Plus-Noise Type Matrices'' Random Matrices: Theory and Applications 1(1) 2012, pp. 1150004.
  54. (with Walid Hachem, Malika Kharouf, and Jamal Najim) ``A CLT for Information-theoretic statistics of non-centered Gram random matrices" Random Matrices: Theory and Applications 1(2) 2012, pp. 1150010.
  55. (with Romain Couillet and Frédéric Pascal) ``Robust M-Estimation for Array Processing: A Random Matrix Approach" (submitted).
  56. (with Katarzyna Bryc and Wlodek Bryc) ``Separation of the Largest Eigenvalues in Eigenanalysis of Genotype Date from Discrete Subpopulations'' (submitted).