2026 Charles Bordenave: Mathematics Researcher – H-Index, Publications & Awards

Overview

Charles Bordenave is affiliated with Aix-Marseille University in France. Their research primarily falls within the broader field of Mathematics, with a strong focus on several subfields including Statistics and Probability, Mathematical Physics, Geometry and Topology, Discrete Mathematics and Combinatorics, and Computational Theory and Mathematics.

The scientist has contributed extensively to topics such as Random Matrices and Applications, Advanced Algebra and Geometry, Advanced Combinatorial Mathematics, Graph theory and applications, Spectral Theory in Mathematical Physics, Markov Chains and Monte Carlo Methods, and Geometric and Algebraic Topology.

Charles Bordenave has published papers in several notable venues. Frequent publication venues include:

arXiv (Cornell University)
Annales de l Institut Henri Poincaré Probabilités et Statistiques
Probability Theory and Related Fields
Electronic Journal of Probability
Annales Scientifiques de l École Normale Supérieure

Some recent papers authored by Charles Bordenave are as follows:

"A new proof of Friedman's second eigenvalue theorem and its extension to random lifts" (2020), published in Annales Scientifiques de l École Normale Supérieure
"Detection Thresholds in Very Sparse Matrix Completion" (2022), published in Foundations of Computational Mathematics
"Spectral gap of sparse bistochastic matrices with exchangeable rows" (2020), published in Annales de l Institut Henri Poincaré Probabilités et Statistiques
"Convergence of the spectral radius of a random matrix through its characteristic polynomial" (2020), published in arXiv (Cornell University)

In addition to individual works, Charles Bordenave has collaborated frequently with several co-authors. The frequent collaborators include:

Benoı̂t Collins
Simon Coste
Raj Rao Nadakuditi
Djalil Chafaï
David García-Zelada

Best Publications

Non-backtracking Spectrum of Random Graphs: Community Detection and Non-regular Ramanujan Graphs

Charles Bordenave;Marc Lelarge;Laurent Massoulie

234
Citations
Around the circular law

Charles Bordenave;Djalil Chafai

232
Citations
A new proof of Friedman's second eigenvalue Theorem and its extension to random lifts

Charles Bordenave

120
Citations
A particle system in interaction with a rapidly varying environment: Mean field limits and applications

Charles Bordenave;David R. McDonald;Alexandre Proutière

108
Citations
Resolvent of large random graphs: Resolvent of Large Random Graphs

Charles Bordenave;Marc Lelarge

104
Citations
Resolvent of large random graphs

Charles Bordenave;Marc Lelarge

101
Citations
Performance of random medium access control, an asymptotic approach

Charles Bordenave;David McDonald;Alexandre Proutiere

99
Citations
Combinatorial Optimization Over Two Random Point Sets

Franck Barthe;Charles Bordenave

86
Citations
The Radial Spanning Tree of a Poisson Point Process

Francois Baccelli;Charles Bordenave;Charles Bordenave

85
Citations
Large Deviations of Poisson Cluster Processes

Charles Bordenave;Giovanni Luca Torrisi

85
Citations
Matchings on infinite graphs

Charles Bordenave;Marc Lelarge;Justin Salez

77
Citations
Localization and delocalization of eigenvectors for heavy-tailed random matrices

Charles Bordenave;Alice Guionnet

75
Citations
Circular law theorem for random Markov matrices

Charles Bordenave;Pietro Caputo;Djalil Chafaï

70
Citations
Spectral radii of sparse random matrices

Florent Benaych-Georges;Charles Bordenave;Antti Knowles

63
Citations
The dead leaves model: a general tessellation modeling occlusion

Charles Bordenave;Yann Gousseau;François Roueff

62
Citations
Asymptotic Stability Region of Slotted Aloha

Charles Bordenave;David McDonald;Alexandre Proutiere

60
Citations
Spectrum of Non-Hermitian Heavy Tailed Random Matrices

Charles Bordenave;Pietro Caputo;Djalil Chafaï

55
Citations
Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs

Florent Benaych-Georges;Charles Bordenave;Antti Knowles

53
Citations
Eigenvalues of random lifts and polynomials of random permutation matrices

Charles Bordenave;Benoit Collins

49
Citations
The rank of diluted random graphs

Charles Bordenave;Marc Lelarge

3
Citations

Frequent Co-Authors

Marc Lelarge École Normale Supérieure

Alexandre Proutiere Royal Institute of Technology

David Aldous University of California, Berkeley

François Baccelli French Institute for Research in Computer Science and Automation - INRIA

Alice Guionnet École Normale Supérieure de Lyon

Antti Knowles University of Geneva

Laurent Massoulié French Institute for Research in Computer Science and Automation - INRIA

Yann Gousseau Télécom ParisTech

Gábor Lugosi Pompeu Fabra University

Benoît Collins Kyoto University

External Links

Personal website of Charles Bordenave

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