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1

The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices

Florent Benaych-Georges, Raj Rao Nadakuditi

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 375 KB

english, 2011

2

Regularization by Free Additive Convolution, Square and Rectangular Cases

Serban T. Belinschi, Florent Benaych-Georges, Alice Guionnet

Journal:

Complex Analysis and Operator Theory

Year:

2009

Language:

english

File:

PDF, 818 KB

english, 2009

3

Exponential bounds for the support convergence in the Single Ring Theorem

Benaych-Georges, Florent

Journal:

Journal of Functional Analysis

Year:

2015

Language:

english

File:

PDF, 1.15 MB

english, 2015

4

RANDOM RIGHT EIGENVALUES OF GAUSSIAN QUATERNIONIC MATRICES

BENAYCH-GEORGES, FLORENT, CHAPON, FRANÇOIS

Journal:

Random Matrices Theory and Applications

Year:

2012

Language:

english

File:

PDF, 246 KB

english, 2012

5

A UNIVERSALITY RESULT FOR THE GLOBAL FLUCTUATIONS OF THE EIGENVECTORS OF WIGNER MATRICES

BENAYCH-GEORGES, FLORENT

Journal:

Random Matrices Theory and Applications

Year:

2012

Language:

english

File:

PDF, 441 KB

english, 2012

6

Outliers in the Single Ring Theorem

Benaych-Georges, Florent, Rochet, Jean

Journal:

Probability Theory and Related Fields

Year:

2016

Language:

english

File:

PDF, 1.61 MB

english, 2016

7

Typical equilibrium state of an embedded quantum system

Ithier, Grégoire, Ascroft, Saeed, Benaych-Georges, Florent

Journal:

Physical Review E

Year:

2017

Language:

english

File:

PDF, 284 KB

english, 2017

8

Infinitely divisible distributions for rectangular free convolution: classification and matricial interpretation

Florent Benaych-Georges

Journal:

Probability Theory and Related Fields

Year:

2007

Language:

english

File:

PDF, 534 KB

english, 2007

9

Rectangular random matrices, related convolution

Florent Benaych-Georges

Journal:

Probability Theory and Related Fields

Year:

2009

Language:

english

File:

PDF, 466 KB

english, 2009

10

A Matrix Interpolation between Classical and Free Max Operations. I. The Univariate Case

Florent Benaych-Georges, Thierry Cabanal-Duvillard

Journal:

Journal of Theoretical Probability

Year:

2010

Language:

english

File:

PDF, 464 KB

english, 2010

11

RectangularR-Transform as the Limit of Rectangular Spherical Integrals

Florent Benaych-Georges

Journal:

Journal of Theoretical Probability

Year:

2011

Language:

english

File:

PDF, 647 KB

english, 2011

12

The singular values and vectors of low rank perturbations of large rectangular random matrices

Florent Benaych-Georges, Raj Rao Nadakuditi

Journal:

Journal of Multivariate Analysis

Year:

2012

Language:

english

File:

PDF, 309 KB

english, 2012

13

Central Limit Theorems for Linear Statistics of Heavy Tailed Random Matrices

Benaych-Georges, Florent, Guionnet, Alice, Male, Camille

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 540 KB

english, 2014

14

[IEEE 2010 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM) - Jerusalem, Israel (2010.10.4-2010.10.7)] 2010 IEEE Sensor Array and Multichannel Signal Processing Workshop - The breakdown point of signal subspace estimation

Nadakuditi, Raj Rao, Benaych-Georges, Florent

Year:

2010

Language:

english

File:

PDF, 386 KB

english, 2010

15

A CONTINUOUS SEMIGROUP OF NOTIONS OF INDEPENDENCE BETWEEN THE CLASSICAL AND THE FREE ONE

Florent Benaych-Georges and Thierry Lévy

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 2.42 MB

english, 2011

16

[IEEE 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP) - Cancun, Mexico (2015.12.13-2015.12.16)] 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP) - Understanding big data spectral clustering

Couillet, Romain, Benaych-Georges, Florent

Year:

2015

Language:

english

File:

PDF, 489 KB

english, 2015

17

Poisson Statistics for Matrix Ensembles at Large Temperature

Benaych-Georges, Florent, Péché, Sandrine

Journal:

Journal of Statistical Physics

Year:

2015

Language:

english

File:

PDF, 760 KB

english, 2015

18

Fluctuations of linear statistics of half-heavy-tailed random matrices

Benaych-Georges, Florent, Maltsev, Anna

Journal:

Stochastic Processes and their Applications

Year:

2016

Language:

english

File:

PDF, 416 KB

english, 2016

19

Classical and Free Infinitely Divisible Distributions and Random Matrices

Florent Benaych-Georges

Journal:

The Annals of Probability

Year:

2005

Language:

english

File:

PDF, 2.68 MB

english, 2005

20

Localization and delocalization for heavy tailed band matrices

Benaych-Georges, Florent, Péché, Sandrine

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2014

File:

PDF, 251 KB

2014

21

Central limit theorem for eigenvectors of heavy tailed matrices

Benaych-Georges, Florent, Guionnet, Alice

Journal:

Electronic Journal of Probability

Year:

2014

Language:

english

File:

PDF, 509 KB

english, 2014

22

A continuous semigroup of notions of independence between the classical and the free one

Benaych-Georges, Florent, Lévy, Thierry

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 1.83 MB

english, 2011

23

On a surprising relation between the Marchenko–Pastur law, rectangular and square free convolutions

Benaych-Georges, Florent

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2010

Language:

english

File:

PDF, 183 KB

english, 2010

24

Dynamical typicality of embedded quantum systems

Ithier, Grégoire, Benaych-Georges, Florent

Journal:

Physical Review A

Year:

2017

Language:

english

File:

PDF, 16.33 MB

english, 2017

25

Kernel spectral clustering of large dimensional data

Couillet, Romain, Benaych-Georges, Florent

Journal:

Electronic Journal of Statistics

Year:

2016

Language:

english

File:

PDF, 787 KB

english, 2016

26

Empirical Spectral Distribution of a Matrix Under Perturbation

Benaych-Georges, Florent, Enriquez, Nathanaël, Michaïl, Alkéos

Journal:

Journal of Theoretical Probability

Year:

2017

Language:

english

File:

PDF, 993 KB

english, 2017

27

Fluctuation of matrix entries and application to outliers of elliptic matrices

Benaych-Georges, Florent, Cébron, Guillaume, Rochet, Jean

Year:

2018

Language:

english

File:

PDF, 968 KB

english, 2018

28

Cycles of free words in several independent random permutations with restricted cycle lengths

Benaych-Georges, Florent

Journal:

Indiana University Mathematics Journal

Year:

2010

Language:

english

File:

PDF, 474 KB

english, 2010

29

Local single ring theorem

Benaych-Georges, Florent

Journal:

The Annals of Probability

Year:

2017

Language:

english

File:

PDF, 477 KB

english, 2017

30

Taylor expansions of $R$-transforms, application to supports and moments

Benaych-Georges, Florent

Journal:

Indiana University Mathematics Journal

Year:

2006

File:

PDF, 264 KB

2006

31

Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs

Benaych-Georges, Florent, Bordenave, Charles, Knowles, Antti

Journal:

The Annals of Probability

Year:

2019

Language:

english

File:

PDF, 285 KB

english, 2019

32

Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs

Benaych-Georges, Florent, Bordenave, Charles, Knowles, Antti

Journal:

The Annals of Probability

Year:

2019

File:

PDF, 285 KB

2019

33

Spectral analysis of the Gram matrix of mixture models

Benaych-Georges, Florent, Couillet, Romain

Journal:

ESAIM Probability and Statistics

Year:

2016

File:

PDF, 349 KB

2016

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