Alexander E. Litvak

Applied Mathematics · 2004–2015

A researcher in the Science corpus: 6 papers; trusts 14 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 24 citations into it; #930 of 7,620 by trust here, #498 by citations
• Statistics and Probability — 23 citations into it; #1,865 of 12,932 by trust here, #1,420 by citations
• Computational Mechanics — 10 citations into it
• Discrete Mathematics and Combinatorics — 8 citations into it
• Pure Mathematics — 6 citations into it
• Geometry and Topology — 5 citations into it; #2,822 of 7,422 by trust here, #2,207 by citations
• Molecular Biology — 5 citations into it

Whom Alexander E. Litvak trusts overall

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

1. Michel Ledoux
2. Terence Tao
3. Brendan D. McKay
4. N. H. Bingham
5. Sourav Chatterjee
6. Grigoris Paouris
7. Bo'az Klartag
8. Van H. Vu
9. Keith Ball
10. Radosław Adamczak

Who trusts Alexander E. Litvak overall

1. Konstantin E. Tikhomirov
2. Mark Rudelson
3. Roman Vershynin
4. Terence Tao
5. Nicholas A. Cook
6. Radosław Adamczak
7. Charles Bordenave
8. Shahar Mendelson
9. Yu-Xiang Wang
10. Arash Ali Amini

Papers from Alexander E. Litvak's perspective

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

1. Decoding by linear programming
2. The concentration of measure phenomenon
3. Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
4. Stable signal recovery from incomplete and inaccurate measurements
5. Concentration of mass on convex bodies
6. A central limit theorem for convex sets
7. Concentration Property on Probability Spaces
8. On a lemma of Littlewood and Offord
9. Expander Graphs and their Applications
10. Power-law estimates for the central limit theorem for convex sets

Their papers

• Smallest singular value of random matrices and geometry of random polytopes (2005) — 297 citations
• Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles (2009) — 238 citations
• Sharp bounds on the rate of convergence of the empirical covariance matrix (2010) — 86 citations
• Restricted Isometry Property of Matrices with Independent Columns and Neighborly Polytopes by Random Sampling (2009) — 152 citations
• Adjacency matrices of random digraphs: singularity and anti-concentration (2015) — 48 citations
• John's Decomposition in the General Case and Applications (2004) — 71 citations