Journal Articles and Preprints:

  • T. Jiang with K. Wang. A generalized Hardy-Ramanujan formula for the number of restricted integer partitions. To appear in The Journal of Number Theory.

  • T. Jiang with J. Fan. Largest Entries of Sample Correlation Matrices from Equi-correlated Normal Populations. To appear in Ann. Probab.

  • T. Jiang and Y. Ma. Distances between Random Orthogonal Matrices and Independent Normals. To appear in Transactions of American Mathematical Society.

  • T. Jiang (2019). Determinant of Sample Correlation Matrix with Application. Ann. Appl. Probab. 29(3), 1356-1397

  • T. Jiang and Y. Qi. (2019). Empirical Distributions of Eigenvalues of Product Ensembles. Journal of Theoretical Probability 32, 353-394.

  • H. Chen and T. Jiang (2018). A Study of Two High-dimensional Likelihood Ratio Tests under Alternative Hypotheses. Random Matrices: Theory and Applications 7(1), 1750016.

  • T. Jiang, G. Xu and K. Leder (2017). Rare-event analysis for extremal eigenvalues of the Beta-Laguerre ensemble. Ann. Stat. 45(4), 1609-1637.

  • T. Jiang and Y. Qi. (2017). Spectral Radii of Large Non-Hermitian Random Matrices. J. of Theor. Probab. 30:326-364. DOI: 10.1007/s10959-015-0634-8.

  • T. Jiang and S. Matsumoto (2015). Moments of Traces for Circular Beta-ensembles. Ann. Probab. 43(6), 3279-3336; DOI: 10.1214/14-AOP960.

  • T. Jiang and Y. Qi. (2015). Limiting Distributions of Likelihood Ratio Tests for High-Dimensional Normal Distributions. Scandinavian Journal of Statistics 42(4), 988-1009. DOI: 10.1111/sjos.12147.

  • T. Jiang and D. Li (2015). Approximation of Rectangular Beta-Laguerre Ensembles and Large Deviations. J. of Theor. Probab. 28(3), 804-847. DOI: 10.1007/s10959-013-0519-7.

  • T. Jiang (2015). Distributions of Eigenvalues of Large Euclidean Matrices Generated from lp Balls and Spheres. Linear Algebra and its Applications 473, 14-36.

  • T. Jiang and F. Yang (2013). Central Limit Theorems for Classical Likelihood Ratio Tests for High-Dimensional Normal Distributions. Ann. Stat. 41(4), 2029-2074.

  • T. Cai, J. Fan and T. Jiang (2013). Distributions of Angles in Random Packing on Spheres. Journal of Machine Learning Research 14, 1837-1864.

  • T. Jiang (2013). Limit Theorems on Beta-Jacobi Ensembles. Bernoulli 19(3), 1028-1046.

  • T. Jiang (2012). Low Eigenvalues of Large Random Graphs. Probability Theory and Related Fields 153, 671-690.

  • Z. Dong, T. Jiang and D. Li (2012). Circular Law and Arc Law for Truncation of Random Unitary Matrix. Journal of Mathematical Physics 53, 013301-14. ,

  • D. Jiang, T. Jiang and F. Yang (2012). Likelihood Ratio Tests for Covariance Matrices of High-Dimensional Normal Distributions. Journal of Statistical Planning and Inference 142(8), 2241-2256.

  • T. Cai and T. Jiang (2012). Phase Transition in Limiting Distributions of Coherence of High-Dimensional Random Matrices. Journal of Multivariate Analysis 107, 24-39. ,

  • T. Jiang (2012). Empirical Distributions of Laplacian Matrices of Large Dilute Random Graphs. Random Matrices: Theory and Applications 01, 1250004 (DOI: 10.1142/S2010326312500049).

  • T. Cai and T. Jiang (2011). Limiting Laws of Coherence of Random Matrices with Applications to Testing Covariance Structure and Construction of Compressed Sensing Matrices. Ann. Stat. 39(3), 1496-1525. ,

  • X. Ding and T. Jiang (2010). Spectral Distribution of Adjacency and Laplace Matrices of Random Graphs. Ann. Appl. Probab. 20(6), 2086-2117. ,

  • T. Jiang (2010). The Entries of Haar-invariant Matrices from the Classical Compact Groups. Journal of Theoretical Probability, 23(4), 1227-1243. ,

  • T. Jiang (2009). The Entries of Circular Orthogonal Ensembles. Journal of Mathematical Physics 50(6), 063302. ,
  • T. Jiang (2009). A Variance Formula related to Quantum Conductance. Physics Letters A 373, 2117-2121. ,
  • T. Jiang (2009). Approximation of Haar Distributed Matrices and Limiting Distributions of Eigenvalues of Jacobi Ensembles. Probability Theory and Related Fields, 144(1), 221-246. ,
  • T. Jiang with W. Bryc and A. Dembo (2006). Spectral Measure of Large Random Hankel, Markov and Toeplitz Matrices, Ann. of Probab. 34(1), 1-38. ,
  • T. Jiang (2006). How Many Entries of A Typical Orthogonal Matrix Can Be Approximated By Independent Normals? Ann. Probab. 34(4), 1497-1529. ,
  • T. Jiang (2005). Maxima of Entries of Haar Distributed Matrices, Probability Theory and Related Fields, 131, 121-144. ,
  • T. Jiang (2004). The Limiting Distributions of Eigenvalues of Sample Correlation Matrices, Sankhya, 66(1), 35-48. ,
  • T. Jiang (2004). The Asymptotic Distributions of the Largest Entries of Sample Correlation Matrices, Ann. of Applied Probab. 14(2). ,
  • T. Jiang (2002). A Comparison of Scores of Two Protein Structures With Foldings, Ann. Probab. 30(4), 1893-1912. ,
  • T. Jiang (2002). Maxima of Partial Sums Indexed By Geometrical Structures, Ann. Probab. 30(4), 1854-1892. ,
  • T. Jiang and G. O'Brien (2000). The metric of large deviation convergence, Journal of Theoretical Probability, 13(3), 75-88, 805-824. ,
  • T. Jiang. Maxima of Partial Sums Indexed by Geometrical Structures, Ph.D. Dissertation, Stanford University (1999). ,
  • Papers Submitted:

  • T. Jiang and Y. Qi. Empirical Distributions of Eigenvalues of Product Ensembles.

    Papers Unpublished:

  • T. Jiang and D. Li. The Spacings of Record Values. ,