A. Tikhomirov

Statistics and Probability · 2002–2011

A researcher in the Science corpus: 9 papers; trusts 17 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Statistics and Probability — 25 citations into it; #1,387 of 12,932 by trust here, #2,023 by citations
• Mathematical Physics — 16 citations into it; #648 of 8,562 by trust here, #927 by citations
• Applied Mathematics — 9 citations into it
• Discrete Mathematics and Combinatorics — 8 citations into it

Whom A. Tikhomirov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Terence Tao
2. Mark Rudelson
3. Friedrich Götze
4. J. Gustavsson
5. Percy Deift
6. Van H. Vu
7. Jiming Jiang
8. L. Erdős
9. Z. Bai
10. Brian Rider

Who trusts A. Tikhomirov overall

1. Friedrich Götze
2. Charles Bordenave
3. Terence Tao
4. Sourav Chatterjee
5. Lihu Xu
6. Aram Wettroth Harrow
7. Hoi H. Nguyen
8. Christophe Ley
9. Van H. Vu
10. Djalil CHAFAÏ

Papers from A. Tikhomirov's perspective

Ordered by how strongly the researchers A. Tikhomirov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Spectral Analysis of Large Dimensional Random Matrices
2. The circular law for random matrices
3. RANDOM MATRICES: THE CIRCULAR LAW
4. Rigidity of eigenvalues of generalized Wigner matrices
5. Invertibility of random matrices: norm of the inverse
6. Rate of convergence in probability to the Marchenko-Pastur law
7. Statistical Ensembles of Complex, Quaternion, and Real Matrices
8. Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
9. A limit theorem at the edge of a non-Hermitian random matrix ensemble
10. Inverse Littlewood-Offord theorems and the condition number of random discrete matrices

Their papers

• The circular law for random matrices (2007) — 179 citations
• Rate of convergence in probability to the Marchenko-Pastur law (2004) — 107 citations
• On the rate of convergence to the semi-circular law (2011) — 47 citations
• Asymptotic Distribution of Quadratic Forms and Applications (2002) — 51 citations
• Limit Theorems for Spectra of Random Matrices with Martingale Structure (2007) — 58 citations
• The rate of convergence for spectra of GUE and LUE matrix ensembles (2005) — 82 citations
• Rate of convergence to the semi-circular law (2003) — 55 citations
• On the Asymptotic Spectrum of Products of Independent Random Matrices. (2010) — 79 citations
• Asymptotic distribution of singular values of powers of random matrices (2010) — 66 citations