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Stability Properties of data flows on a CDMA network in macrodiversity

Charles Bordenave
[Research Report] RR-5257, INRIA. 2004, pp.26
Reports inria-00070741v1

Spectre sans épines des graphes aléatoires

Charles Bordenave
Gazette des Mathématiciens, 2019
Journal articles hal-03029289v1
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On the spectral radius of a random matrix: an upper bound without fourth moment

Charles Bordenave , Pietro Caputo , Djalil Chafaï , Konstantin Tikhomirov
Annals of Probability, 2018, 44 (4), pp.2268-2286. ⟨10.1214/17-AOP1228⟩
Journal articles hal-01346261v1

Graphs with prescribed local neighborhoods of their universal coverings

Charles Bordenave , Simon Coste
Journal of Combinatorial Theory, Series B, 2019, 138, pp.196-205. ⟨10.1016/j.jctb.2019.02.001⟩
Journal articles hal-02407100v1

Mobility Edge of L\'evy Matrices

Amol Aggarwal , Charles Bordenave , Patrick Lopatto
2022
Preprints, Working Papers, ... hal-03866776v1

Typicality and entropy of processes on infinite trees

Charles Bordenave , Ágnes Backhausz , Balázs Szegedy
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, In press
Journal articles hal-03447803v1

Mean quantum percolation

Charles Bordenave , Arnab Sen , Bálint Virág
Journal of the European Mathematical Society, 2017, 19 (12), pp.3679-3707. ⟨10.4171/JEMS/750⟩
Journal articles hal-01972822v1

On Quantum Percolation in Finite Regular Graphs

Charles Bordenave
Annales Henri Poincaré, 2015, 16 (11), pp.2465-2497
Journal articles hal-01972826v1

Nonbacktracking spectrum of random graphs: Community detection and nonregular Ramanujan graphs

Charles Bordenave , Marc Lelarge , Laurent Massoulié
Annals of Probability, 2018, 46 (1), pp.1-71
Journal articles hal-01940486v1
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Random Multi-access Algorithms - A Mean Field analysis

Charles Bordenave , David Mcdonald , Alexandre Proutière
[Research Report] RR-5632, INRIA. 2005, pp.12
Reports inria-00070375v1

Asymptotic stability region of slotted aloha

Charles Bordenave , David Mcdonald , Alexandre Proutière
IEEE Transactions on Information Theory, 2012, 58 (9), pp.5841-5855. ⟨10.1109/TIT.2012.2201333⟩
Journal articles hal-00849006v1

On Euclidean random matrices in high dimension

Charles Bordenave
Electronic Communications in Probability, 2013, 18, pp.1-8. ⟨10.1214/ECP.v18-2340⟩
Journal articles hal-00948726v1

Spectral radii of sparse random matrices

Florent Benaych-Georges , Charles Bordenave , Antti Knowles
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (3), pp.2141-2161. ⟨10.1214/19-AIHP1033⟩
Journal articles hal-03029285v1
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The Radial Spanning Tree of a Poisson Point Process

François Baccelli , Charles Bordenave
[Research Report] RR-5707, INRIA. 2005, pp.73
Reports inria-00070309v1

A particle system in interaction with a rapidly varying environment : mean field limits and applications

Charles Bordenave , David Mcdonald , Alexandre Proutière
Networks and Heterogeneous Media, 2010, 5 (1), pp.31-62. ⟨10.3934/nhm.2010.5.31⟩
Journal articles hal-00629339v1
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Un Protocole d'Accès Multiple Aléatoire avec Interactions Spatiales

Charles Bordenave , Serguei Foss , Vsevolod Shneer
[Research Report] RR-5975, INRIA. 2006, pp.28
Reports inria-00090762v2

Large deviations of empirical neighborhood distribution in sparse random graphs

Charles Bordenave , Pietro Caputo
Probability Theory and Related Fields, 2015, 163 (1-2), pp.149-222
Journal articles hal-01972827v1

Non-backtracking spectrum of random graphs: community detection and non-regular Ramanujan graphs

Charles Bordenave , Marc Lelarge , Laurent Massoulié
Annals of Probability, 2014, pp.abs/1501.06087
Journal articles hal-01137952v1

On the spectrum of sum and product of non-Hermitian random matrices

Charles Bordenave
Electronic Communications in Probability, 2011, 16, pp.104-113. ⟨10.1214/ECP.v16-1606⟩
Journal articles hal-00948941v1

Localization and delocalization of eigenvectors for heavy-tailed random matrices

Charles Bordenave , Alice Guionnet
Probability Theory and Related Fields, 2013, 157 (3-4), pp.885-953. ⟨10.1007/s00440-012-0473-9⟩
Journal articles hal-00948937v1

An extension of the Derrida–Lebowitz–Speer–Spohn equation

Charles Bordenave , Pierre Germain , Thomas Trogdon
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (48), pp.485205. ⟨10.1088/1751-8113/48/48/485205⟩
Journal articles hal-01972825v1
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Spectrum of large random reversible Markov chains: two examples

Charles Bordenave , Pietro Caputo , Djalil Chafai
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2010, 7, pp.41-64
Journal articles hal-00337409v2
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Analyse stochastique des réseaux spatiaux.

Charles Bordenave
Analyse fonctionnelle [math.FA]. Ecole Polytechnique X, 2006. Français. ⟨NNT : ⟩
Theses pastel-00001902v1

Normalité asymptotique des vecteurs propres d'un graphe régulier aléatoire [d'aprés Ágnes Backhausz et Balázs Szegedy].

Charles Bordenave
Asterisque, 2020, Séminaire Bourbaki., Vol. 2018/2019. (Exposés 1151–1165), pp.109-147
Journal articles hal-03447811v1

Noise sensitivity for the top eigenvector of a sparse random matrix

Charles Bordenave , Jaehun Lee
Electronic Journal of Probability, 2022, 27, pp.49
Journal articles hal-03447814v1

The rank of diluted random graphs

Charles Bordenave , Marc Lelarge , Justin Salez
Annals of Probability, 2011, 39 (3), pp.1097-1121. ⟨10.1214/10-AOP567⟩
Journal articles hal-00630917v1
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Random walk on sparse random digraphs

Charles Bordenave , Pietro Caputo , Justin Salez
Probability Theory and Related Fields, 2018, 170 (3-4), pp.933-960. ⟨10.1007/s00440-017-0796-7⟩
Journal articles hal-01187523v1
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Around the circular law

Charles Bordenave , Djalil Chafai
Probability Surveys, 2012, 9, pp.1-89. ⟨10.1214/11-PS183⟩
Journal articles hal-00623894v4

Load optimization in a planar networ

Charles Bordenave , Luca Torrisi Giovanni
Annals of Applied Probability, 2010, 20 (6), pp.2040-2085. ⟨10.1214/09-AAP676⟩
Journal articles hal-00629342v1

Lecture notes on the circular law

Charles Bordenave , Djalil Chafaï
Van H. Vu. Modern Aspects of Random Matrix Theory, American Mathematical Society, pp.1-35, 2014, Proceedings of Symposia in Applied Mathematics (PSAPM volume 72), 978-0-8218-9471-2
Book sections hal-01015134v1