Expository Publications

  • Book Van H. Vu, Terence Tao, Additive Combinatorics. Cambridge University Press, 2006.

Research Publications

  • Yen Do, Oanh Nguyen, Van Vu, Random orthonormal polynomials: local universality and expected number of real roots. arXiv

  • Van Vu, Recent progress in combinatorial random matrix theory. arXiv

  • Linh Tran, Van Vu, Reaching a Consensus on Random Networks: The Power of Few. arXiv

  • Oanh Nguyen, Van Vu, Random polynomials: central limit theorems for the real roots. arXiv

  • Daniel Montealegre, Van Vu, Spectrum of complex networks. arXiv

  • Sean O'Rourke, Van Vu, Ke Wang, Random perturbation and matrix sparsification and completion. arXiv

  • Kyle Luh, Van Vu, Sparse Random Matrices have Simple Spectrum. arXiv

  • Phil Kopel, Sean O'Rourke, Van Vu, Random matrix products: Universality and least singular values. arXiv

  • Oanh Nguyen, Van Vu, Roots of random functions: A general condition for local universality. arXiv

  • Andrei Deneanu, Van Vu, Random matrices: Probability of Normality. arXiv

  • Yen Do, Van Vu, Central limit theorems for the real zeros of Weyl polynomials. arXiv

  • Mei-Chu Chang, Hoi Nguyen, Oanh Nguyen, Van Vu, Random eigenfunctions on flat tori: universality for the number of intersections. arXiv

  • Asaf Ferber, Daniel Montealegre, Van Vu, Law of Iterated Logarithm for random graphs. arXiv

  • Asaf Ferber, Van Vu, Packing perfect matchings in random hypergraphs. arXiv

  • Asaf Ferber, Daniel Montealegre, Van Vu, Random matrices: Law of the iterated logarithm. arXiv

  • Hoi H. Nguyen, Van H. Vu, Normal vector of a random hyperplane. arXiv

  • Terence Tao, Van Vu, Sumfree sets in groups: a survey. arXiv

  • Terence Tao, Van Vu, Sum-avoiding sets in groups. arXiv

  • Sean O'Rourke, Van Vu, Ke Wang, Eigenvectors of random matrices: A survey. arXiv

  • Yen Do, Oanh Nguyen, Van Vu, Roots of random polynomials with coefficients having polynomial growth. arXiv

  • Raghu Meka, Oanh Nguyen, Van Vu, Anti-concentration for polynomials of independent random variables. arXiv

  • Pham H. Tiep, Van H. Vu, Non-abelian Littlewood-Offord inequalities. arXiv

  • Hoi Nguyen, Terence Tao, Van Vu, Random matrices: tail bounds for gaps between eigenvalues. arXiv

  • Kyle Luh, Van Vu, Dictionary Learning with Few Samples and Matrix Concentration. arXiv

  • Peter Chin, Anup Rao, Van Vu, Stochastic Block Model and Community Detection in the Sparse Graphs: A spectral algorithm with optimal rate of recovery. arXiv

  • Terence Tao, Van Vu, Random matrices have simple spectrum. arXiv

  • Simão Herdade, Van Vu, Random walks with different directions: Drunkards beware !. arXiv

  • Yen Do, Hoi Nguyen, Van Vu, Real roots of random polynomials: expectation and repulsion. arXiv

  • Van Vu, A simple SVD algorithm for finding hidden partitions. arXiv

  • Sean O'Rourke, David Renfrew, Alexander Soshnikov, Van Vu, Products of independent elliptic random matrices. arXiv

  • Hoi Nguyen, Oanh Nguyen, Van Vu, On the number of real roots of random polynomials. arXiv

  • Sean O'Rourke, Van Vu, Ke Wang, Random perturbation of low rank matrices: Improving classical bounds. arXiv

  • Sean O'Rourke, Van Vu, Universality of local eigenvalue statistics in random matrices with external source. arXiv

  • Terence Tao, Van Vu, Local universality of zeroes of random polynomials. arXiv

  • Van Vu, Ke Wang, Random weighted projections, random quadratic forms and random eigenvectors. arXiv

  • Hoi H. Nguyen, Van H. Vu, Small ball probability, Inverse theorems, and applications. arXiv

  • Yen Do, Van Vu, The spectrum of random kernel matrices: universality results for rough and varying kernels. arXiv

  • Terence Tao, Van Vu, Random matrices: Universality of local spectral statistics of non-Hermitian matrices. arXiv

  • Hoi H. Nguyen, Van Vu, Circular law for random discrete matrices of given row sum. arXiv

  • Terence Tao, Van Vu, Random matrices: The Universality phenomenon for Wigner ensembles. arXiv

  • Terence Tao, Van Vu, Random matrices: Sharp concentration of eigenvalues. arXiv

  • Terence Tao, Van Vu, Random matrices: The Four Moment Theorem for Wigner ensembles. arXiv

  • Hoi H. Nguyen, Van Vu, A characterization of incomplete sequences in vector spaces. arXiv

  • Hoi H. Nguyen, Van Vu, Random matrices: Law of the determinant. arXiv

  • Terence Tao, Van Vu, A central limit theorem for the determinant of a Wigner matrix. arXiv

  • Terence Tao, Van Vu, Random matrices: Universal properties of eigenvectors. arXiv

  • Terence Tao, Van Vu, The Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. arXiv

  • Sandrine Dallaporta, Van Vu, A Note on the Central Limit Theorem for the Eigenvalue Counting Function of Wigner Matrices. arXiv

  • Linh Tran, Van Vu, Ke Wang, Sparse random graphs: Eigenvalues and Eigenvectors. arXiv

  • Terence Tao, Van Vu, Random matrices: Localization of the eigenvalues and the necessity of four moments. arXiv

  • Hoi Nguyen, Van Vu, Optimal Inverse Littlewood-Offord theorems. arXiv

  • Van Vu, Singular vectors under random perturbation. arXiv

  • Terence Tao, Van Vu, The Littlewood-Offord problem in high dimensions and a conjecture of Frankl and Füredi. arXiv

  • Terence Tao, Van Vu, Random covariance matrices: Universality of local statistics of eigenvalues. arXiv

  • Eyal Lubetzky, Benny Sudakov, Van Vu, Spectra of lifted Ramanujan graphs. arXiv

  • Terence Tao, Van Vu, Random matrices: Universality of local eigenvalue statistics up to the edge. arXiv

  • Laszlo Erdos, Jose Ramirez, Benjamin Schlein, Terence Tao, Van Vu, Horng-Tzer Yau, Bulk universality for Wigner hermitian matrices with subexponential decay. arXiv

  • Terence Tao, Van Vu, Random matrices: Universality of local eigenvalue statistics. arXiv

  • Kevin P. Costello, Van Vu, Concentration of random determinants and permanent estimators. arXiv

  • Jean Bourgain, Van Vu, Philip Matchett Wood, On the singularity probability of discrete random matrices. arXiv

  • Terence Tao, Van Vu, Random matrices: The distribution of the smallest singular values. arXiv

  • Terence Tao, Van Vu, A sharp inverse Littlewood-Offord theorem. arXiv

  • Hoi Nguyen, Van Vu, Squares in sumsets. arXiv

  • Hoi Nguyen, Van Vu, Classification theorems for sumsets modulo a prime. arXiv

  • Terence Tao, Van Vu, From the Littlewood-Offord problem to the Circular Law: universality of the spectral distribution of random matrices. arXiv

  • Terence Tao, Van Vu, Manjunath Krishnapur, Random matrices: Universality of ESDs and the circular law. arXiv

  • Terence Tao, Van Vu, Smooth analysis of the condition number and the least singular value. arXiv

  • Van Vu, A structural approach to subset-sum problems. arXiv

  • Terence Tao, Van Vu, On the permanent of random Bernoulli matrices. arXiv

  • A. Johansson, J. Kahn, V. Vu, Factors in random graphs. arXiv

  • Van H. Vu, Melanie Matchett Wood, Philip Matchett Wood, Mapping Incidences. arXiv

  • Kevin P. Costello, Van Vu, On the Rank of Random Sparse Matrices. arXiv

  • Terence Tao, Van Vu, Random Matrices: The circular Law. arXiv

  • Benny Sudakov, Van Vu, Local resilience of graphs. arXiv

  • Van Vu, Sum-product estimates via directed expanders. arXiv

  • Terence Tao, Van Vu, The condition number of a randomly perturbed matrix. arXiv

  • Terence Tao, Van Vu, John-type theorems for generalized arithmetic progressions and iterated sumsets. arXiv

  • Van Vu, Random Discrete Matrices. arXiv

  • H. H. Nguyen, E. Szemeredi, V. H. Vu, Subset sums in $\BZ_p$. arXiv

  • I. Barany, V. H. Vu, Central limit theorems for Gaussian polytopes. arXiv

  • Van Vu, Structure of large incomplete sets in abelian groups. arXiv

  • Kevin P. Costello, Van H. Vu, The Rank of Random Graphs. arXiv

  • Terence Tao, Van Vu, Inverse Littlewood-Offord theorems and the condition number of random discrete matrices. arXiv

  • E. Szemeredi, V. Vu, Long arithmetic progressions in sumsets: Thresholds and Bounds. arXiv

  • Van Vu, Olson's theorem for cyclic groups. arXiv

  • Kevin Costello, Terence Tao, Van Vu, Random symmetric matrices are almost surely non-singular. arXiv

  • Van Vu, Central limit theorems for random polytopes in a smooth convex set. arXiv

  • Terence Tao, Van Vu, On the singularity probability of random Bernoulli matrices. arXiv

  • Terence Tao, Van Vu, On random ±1 matrices: Singularity and Determinant. arXiv

  • Michael Krivelevich, Van H. Vu, On the concentration of eigenvalues of random symmetric matrices. arXiv

  • J. Kahn, J. H. Kim, L. Lovasz, V. H. Vu, The cover time, the blanket time, and the Matthews bound. arXiv

  • Ha Q. Nguyen, Khanh Lam, Linh T. Le, Hieu H. Pham, Dat Q. Tran, Dung B. Nguyen, Dung D. Le, Chi M. Pham, Hang T. T. Tong, Diep H. Dinh, Cuong D. Do, Luu T. Doan, Cuong N. Nguyen, Binh T. Nguyen, Que V. Nguyen, Au D. Hoang, Hien N. Phan, Anh T. Nguyen, Phuong H. Ho, Dat T. Ngo, Nghia T. Nguyen, Nhan T. Nguyen, Minh Dao, Van Vu, VinDr-CXR: An open dataset of chest X-rays with radiologist's annotations. arXiv