Charles Bordenave

Statistics and Probability · 2007–2018

A researcher in the Science corpus: 18 papers; trusts 89 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Statistics and Probability — 154 citations into it; #1,371 of 12,932 by trust here, #1,506 by citations
• Mathematical Physics — 128 citations into it; #732 of 8,562 by trust here, #754 by citations
• Discrete Mathematics and Combinatorics — 77 citations into it; #1,032 of 2,017 by trust here, #970 by citations
• Geometry and Topology — 45 citations into it; #1,686 of 7,422 by trust here, #2,832 by citations
• Computational Theory and Mathematics — 34 citations into it; #2,273 of 12,182 by trust here, #2,489 by citations
• Statistical and Nonlinear Physics — 30 citations into it
• Applied Mathematics — 29 citations into it
• Artificial Intelligence — 20 citations into it; #19,837 of 35,345 by trust here, #25,809 by citations

Whom Charles Bordenave trusts overall

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

1. Terence Tao
2. Laurent Massoulié
3. David J. Aldous
4. Joel Friedman
5. Van H. Vu
6. Florent Benaych-Georges
7. Itai Benjamini
8. Friedrich Götze
9. Brendan D. McKay
10. Uffe Haagerup

Who trusts Charles Bordenave overall

1. Djalil CHAFAÏ
2. Nicholas A. Cook
3. Terence Tao
4. F. Augeri
5. Ben Hayes
6. Hoi H. Nguyen
7. Pietro Caputo
8. Benoît Collins
9. Justin Salez
10. Alice Guionnet

Papers from Charles Bordenave's perspective

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

1. RANDOM MATRICES: THE CIRCULAR LAW
2. Spectral Analysis of Large Dimensional Random Matrices
3. The concentration of measure phenomenon
4. The circular law for random matrices
5. Expander Graphs and their Applications
6. Limits of dense graph sequences (J. Comb. Theory B)
7. Statistical Ensembles of Complex, Quaternion, and Real Matrices
8. CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES
9. Recurrence of Distributional Limits of Finite Planar Graphs
10. On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices

Their papers

• Around the circular law (2011) — 243 citations
• Localization and delocalization of eigenvectors for heavy-tailed random matrices (2012) — 91 citations
• Spectral radii of sparse random matrices (2017) — 124 citations
• Circular law theorem for random Markov matrices (2008) — 82 citations
• Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs (2017) — 91 citations
• Spectrum of Non-Hermitian Heavy Tailed Random Matrices (2010) — 66 citations
• Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph (2009) — 59 citations
• A large deviation principle for Wigner matrices without Gaussian tails (2012) — 47 citations
• A new proof of Friedman's second eigenvalue theorem and its extension to random lifts (2015) — 150 citations
• On the spectrum of sum and product of non-hermitian random matrices (2010) — 59 citations
• Combinatorial Optimization Over Two Random Point Sets (2011) — 82 citations
• Spectrum of Markov Generators on Sparse Random Graphs (2012) — 51 citations
• Nonbacktracking spectrum of random graphs: Community detection and nonregular Ramanujan graphs (2018) — 59 citations
• Eigenvalues of random lifts and polynomials of random permutation matrices (2018) — 116 citations
• Random walk on sparse random digraphs (2015) — 49 citations
• Outlier Eigenvalues for Deformed I.I.D. Random Matrices (2014) — 57 citations
• Large deviations of empirical neighborhood distribution in sparse random graphs (2013) — 75 citations
• The Radial Spanning Tree of a Poisson Point Process (2007) — 89 citations