Les publications

Article dans une revue

2022

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Imane Akjouj, Jamal Najim. Feasibility of sparse large Lotka-Volterra ecosystems. Journal of Mathematical Biology, 2022, 85 (66), pp.1-28. ⟨10.1007/s00285-022-01830-3⟩. ⟨hal-03435163⟩

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Maxime Clenet, Hafedh El Ferchichi, Jamal Najim. EQUILIBRIUM IN A LARGE LOTKA-VOLTERRA SYSTEM WITH PAIRWISE CORRELATED INTERACTIONS. Stochastic Processes and their Applications, 2022, 153, pp.423-444. ⟨10.1016/j.spa.2022.08.004⟩. ⟨hal-03681747⟩

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Nicholas Cook, Walid Hachem, Jamal Najim, David Renfrew. Non-Hermitian random matrices with a variance profile (II): properties and examples. Journal of Theoretical Probability, 2022, 35 (4), pp.2343-2382. ⟨10.1007/s10959-021-01140-2⟩. ⟨hal-03095169⟩

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2021

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Pierre Bizeul, Jamal Najim. Positive solutions for large random linear systems. Proceedings of the American Mathematical Society, In press, pp.1. ⟨10.1090/proc/15383⟩. ⟨hal-02093170v2⟩

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2019

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Florence Merlevède, Jamal Najim, Peng Tian. Unbounded Largest Eigenvalue of Large Sample Covariance Matrices: Asymptotics, Fluctuations and Applications. Linear Algebra and its Applications, 2019, 577, ⟨10.1016/j.laa.2019.05.001⟩. ⟨hal-01701455v2⟩

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2018

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Nicholas Cook, Walid Hachem, Jamal Najim, David Renfrew. Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs. Electronic Journal of Probability, 2018, 23, pp.1 - 61. ⟨10.1214/18-EJP230⟩. ⟨hal-02385528⟩

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2016

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Walid Hachem, Adrien Hardy, Jamal Najim. Large Complex Correlated Wishart Matrices: Fluctuations and Asymptotic Independence at the Edges.. Annals of Probability, 2016, 44 (3), pp.2264-2348. ⟨10.1214/15-AOP1022⟩. ⟨hal-01063807⟩

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Walid Hachem, Adrien Hardy, Jamal Najim. Large complex correlated Wishart matrices: the Pearcey kernel and expansion at the hard edge. Electronic Journal of Probability, 2016, https://projecteuclid.org/journals/electronic-journal-of-probability/volume-21/issue-none/Large-complex-correlated-Wishart-matrices--the-Pearcey-kernel-and/10.1214/15-EJP4441.full, 21 (1), pp.1-36. ⟨10.1214/15-EJP4441⟩. ⟨hal-01834495⟩

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Jamal Najim, Jianfeng Yao. Gaussian fluctuations for linear spectral statistics of large random covariance matrices. The Annals of Applied Probability, 2016, 26 (3), pp.1837--1887. ⟨10.1214/15-AAP1135⟩. ⟨hal-00861793v3⟩

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2015

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Walid Hachem, Adrien Hardy, Jamal Najim. A Survey on the Eigenvalues Local Behavior of Large Complex Correlated Wishart Matrices. ESAIM: Proceedings and Surveys, 2015, 51, pp.150-174. ⟨hal-01199904⟩

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2013

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Walid Hachem, Philippe Loubaton, Jamal Najim, Pascal Vallet. On bilinear forms based on the resolvent of large random matrices. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2013, 49 (1), pp.36-63. ⟨10.1214/11-AIHP450⟩. ⟨hal-00474126v2⟩

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Walid Hachem, Philippe Loubaton, X. Mestre, Jamal Najim, Pascal Vallet. A Subspace Estimator for Fixed Rank Perturbations of Large Random Matrices. Journal of Multivariate Analysis, 2013, 114, pp.427-447. ⟨10.1016/j.jmva.2012.08.006⟩. ⟨hal-00598826v2⟩

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2012

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Walid Hachem, Philippe Loubaton, Xavier Mestre, Jamal Najim, Pascal Vallet. Large information plus noise random matrix models and consistent subspace estimation in large sensor networks. Random Matrices: Theory and Applications, 2012, 01 (1150006), pp.1-51. ⟨10.1142/S2010326311500067⟩. ⟨hal-00790069⟩

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2010

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Julien Dumont, Walid Hachem, Samson Lasaulce, Philippe Loubaton, Jamal Najim. On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach. IEEE Transactions on Information Theory, 2010, 56 (3), pp.1048--1069. ⟨hal-00180897v2⟩

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2008

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Walid Hachem, Philippe Loubaton, Jamal Najim. A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile. The Annals of Applied Probability, 2008, ? (1), 10pp. ⟨hal-00621862⟩

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Walid Hachem, Oleksiy Khorunzhiy, Philippe Loubaton, Jamal Najim, Leonid Pastur. A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels. IEEE Transactions on Information Theory, 2008, 54 (9), pp.3987-4004. ⟨10.1109/TIT.2008.928229⟩. ⟨hal-00120482⟩

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2007

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Walid Hachem, Philippe Loubaton, J. Najim. Deterministic equivalents for certain functionals of large random matrices. The Annals of Applied Probability, 2007, 17 (1), pp.875-930. ⟨hal-00621793⟩

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2006

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Walid Hachem, Philippe Loubaton, J. Najim. The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2006, PR42 (1), pp.649-670. ⟨10.1016/j.anihpb.2005.10.001⟩. ⟨hal-00621791⟩

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2005

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Walid Hachem, Philippe Loubaton, J. Najim. The empirical eigenvalue distribution of a Gram matrix: From independence to stationarity. Markov Processes And Related Fields, 2005, ? (1), pp.629-648. ⟨hal-00621863⟩

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Communication dans un congrès

2023

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Mohammed-Younes Gueddari, Walid Hachem, Jamal Najim. A Linear Complementarity Problem based on non-Symmetric Large Random Matrices. XXIXème Colloque Francophone de Traitement du Signal et des Images-GRETSI 2023, Aug 2023, Grenoble, France. ⟨hal-04271966⟩

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2022

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Walid Hachem, Jamal Najim. « Approximate Message Passing » et solutions de grands systèmes dynamiques écologiques de Lotka-Volterra. GRETSI, Sep 2022, Nancy, France. ⟨hal-03817834⟩

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2020

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Pierre Bizeul, Maxime Clenet, Jamal Najim. Positive Solutions for Large Random Linear Systems. ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), May 2020, Barcelona, Spain. pp.8777-8781, ⟨10.1109/ICASSP40776.2020.9053593⟩. ⟨hal-03093082⟩

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2013

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Adrien Pelletier, Romain Couillet, Jamal Najim. Second-Order Analysis of the Joint SINR distribution in Rayleigh Multiple Access and Broadcast Channels. 2013 Asilomar Conference on Signals, Systems and Computers , Nov 2013, Pacific Grove, CA, United States. ⟨10.1109/ACSSC.2013.6810488⟩. ⟨hal-00906122⟩

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2011

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Pascal Vallet, Walid Hachem, Philippe Loubaton, X. Mestre, Jamal Najim. On the Consistency of the G-MUSIC DoA Estimator. SSP, Jul 2011, France. pp.685-688. ⟨hal-00733784⟩

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Pascal Vallet, Walid Hachem, Philippe Loubaton, X. Mestre, Jamal Najim. An Improved MUSIC Algorithm Based on Low Rank Perturbation of Large Random Matrices. SSP, Jul 2011, France. pp.689-692. ⟨hal-00733787⟩

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2008

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Walid Hachem, Philippe Loubaton, J. Najim. On the fluctuations of the mutual information of large dimensional MIMO channels. ITW 2008, May 2008, France. 10pp. ⟨hal-00621830⟩

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2007

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Julien Dumont, Walid Hachem, S. Lasaulce, Philippe Loubaton, J. Najim. High SNR approximations of the capacity of MIMO correlated Rician channels: a large system approach. ISIT 2007, Jun 2007, France. pp.536-540. ⟨hal-00621918⟩

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2006

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Julien Dumont, Walid Hachem, Philippe Loubaton, J. Najim. On the Asymptotic Analysis of Mutual Information of MIMO Rician Correlated Channels. ISCCSP'2006, 2006, Marrakesh, Morocco. pp.CD-ROM Proceedings. ⟨hal-00279705⟩

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Walid Hachem, Philippe Loubaton, J. Najim. The Mutual Information of a MIMO Channel: A Survey. ISCCSP'2006, 2006, Marrakesh, Morocco. pp.CD-ROM Proceedings. ⟨hal-00279700⟩

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Pré-publication, Document de travail

2023

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Imane Akjouj, Walid Hachem, Jamal Najim, Mylene Maida. Equilibria of large random Lotka-Volterra systems with vanishing species: a mathematical approach. 2023. ⟨hal-04174195⟩

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Maxime Clenet, François Massol, Jamal Najim. Impact of a block structure on the Lotka-Volterra model. 2023. ⟨hal-04298668⟩

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2019

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Marwa Banna, Jamal Najim, Jianfeng Yao. A CLT for linear spectral statistics of large random information-plus-noise matrices. 2019. ⟨hal-01768589v2⟩

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2007

ref_biblio

Walid Hachem, Philippe Loubaton, Jamal Najim. A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile. 2007. ⟨hal-00151136⟩

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