Publication

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

Google Scholar, ORCID iD iconorcid.org/0000-0001-8128-3441


Publications/Preprints:

  1. Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains, (with D. Li), to appear in Communications in Contemporary Mathematics. pdf
  2. Random perturbation and matrix sparsification and completion, (with S. O’Rourke, V. Vu), submitted. arXiv link.
  3. A generalized Hardy-Ramanujan formula for the number of restricted integer partitions (with T. Jiang), submittedarXiv linkpdf
  4. Limiting empirical spectral distribution for the non-backtracking matrix of an Erdos-Renyi random graph (with P. M. Wood), submittedarXiv linkpdf
  5. Random restricted partitions (with T. Jiang), preprint. arXiv link. pdf

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

  7. Statistical properties of eigenvalues of Laplace-Beltrami operators (with T. Jiang), submittedarXiv linkpdf

  8. Random perturbation of low-rank matrices: Improving classical bounds (with S. O’Rourke and V. Vu), Linear Algebra and its Applications, 540:26–59 (2018)arXiv linkpdf

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

  10. New methods for handling singular covariance matrices (with G. Tucci), submittedarXiv linkpdf

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

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


Conference Proceedings:

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