Publication

My main research interests include probabilistic combinatorics, random structures, random matrix theory and its applications.


Publications/Preprints:

  1. Random restricted partitions (with T. Jiang), preprint. pdf

  2. Eigenvectors of random matrices: a survey (with S. O’Rourke and V. Vu), Journal of Combinatorial Theory, Series A, 144:361–442 (2016). pdf

  3. Statistical properties of eigenvalues of Laplace-Beltrami operators (with T. Jiang), submitted. pdf

  4. Random perturbation of low rank matrices: Improving classical bounds (with S. O’Rourke and V. Vu), submitted. pdf

  5. Random weighted projections, random quadratic forms and random eigenvectors (with V. Vu), Random Struct. Alg., 47(4): 792–821 (2015).pdf

  6. New methods for handling singular covariance matrices (with G. Tucci), submitted. pdf

  7. Random covariance matrices: Universality of local statistics of eigenvalues up to the edge, Random Matrices: Theory and Appl. 1 (2012). pdf

  8. Sparse random graphs: Eigenvalues and Eigenvectors (with L. Tran and V. Vu), Random Struct. Alg., 42(1):110–134 (2013). pdf


Conference Proceedings:

  • An Innovative Approach for Analyzing Rank Deficient Covariance Matrices (With G. Tucci), Proceeding of the International Symposium on Information Theory, Boston, 2012. Link: Proceeding.