Search Results - "Najim, Jamal"

Non-Hermitian Random Matrices with a Variance Profile (II): Properties and Examples by Cook, Nicholas, Hachem, Walid, Najim, Jamal, Renfrew, David

“…For each n , let A n = ( σ ij ) be an n × n deterministic matrix and let X n = ( X ij ) be an n × n random matrix with i.i.d. centered entries of unit…”
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A Survey on the Eigenvalues Local Behavior of Large Complex Correlated Wishart Matrices by Garivier, Aurélien, Hachem, Walid, Hardy, Adrien, Najim, Jamal

“…The aim of this note is to provide a pedagogical survey of the recent works [30, 31] concerning the local behavior of the eigenvalues of large complex…”
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Feasibility of sparse large Lotka-Volterra ecosystems by Akjouj, Imane, Najim, Jamal

“…Consider a large ecosystem (foodweb) with n species, where the abundances follow a Lotka–Volterra system of coupled differential equations. We assume that each…”
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GAUSSIAN FLUCTUATIONS FOR LINEAR SPECTRAL STATISTICS OF LARGE RANDOM COVARIANCE MATRICES by Najim, Jamal, Yao, Jianfeng

“…Consider a N × n matrix $\sum\nolimits_n { = \frac{1}{{\sqrt n }}R_n^{1/2}{X_n}} $, where Rn is a nonnegative definite Hermitian matrix and Xn is a random…”
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Equilibrium in a large Lotka–Volterra system with pairwise correlated interactions by Clenet, Maxime, El Ferchichi, Hafedh, Najim, Jamal

“…Consider a Lotka–Volterra (LV) system of coupled differential equations: ẋk=xk(rk−xk+(Bx)k),x=(xk),1≤k≤n,where r=(rk) is a n×1 vector and B a n×n matrix…”
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Equilibria of large random Lotka–Volterra systems with vanishing species: a mathematical approach by Akjouj, Imane, Hachem, Walid, Maïda, Mylène, Najim, Jamal

“…Ecosystems with a large number of species are often modelled as Lotka–Volterra dynamical systems built around a large interaction matrix with random part…”
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Equilibrium and surviving species in a large Lotka–Volterra system of differential equations by Clenet, Maxime, Massol, François, Najim, Jamal

“…Lotka–Volterra (LV) equations play a key role in the mathematical modeling of various ecological, biological and chemical systems. When the number of species…”
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Deterministic Equivalents for Certain Functionals of Large Random Matrices by Hachem, Walid, Loubaton, Philippe, Najim, Jamal

“…Consider an N × n random matrix $Y_{n}=(Y_{ij}^{n})$ where the entries are given by $Y_{ij}^{n}={\textstyle\frac{\sigma _{ij}(n)}{\sqrt{n}}}X_{ij}^{n}$, the…”
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Impact of a block structure on the Lotka-Volterra model by Clenet, Maxime, Massol, François, Najim, Jamal

“…The Lotka-Volterra (LV) model is a simple, robust, and versatile model used to describe large interacting systems such as food webs or microbiomes. The model…”
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LARGE COMPLEX CORRELATED WISHART MATRICES: FLUCTUATIONS AND ASYMPTOTIC INDEPENDENCE AT THE EDGES by Hachem, Walid, Hardy, Adrien, Najim, Jamal

“…We study the asymptotic behavior of eigenvalues of large complex correlated Wishart matrices at the edges of the limiting spectrum. In this setting, the…”
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Cooperative spectrum sensing using random matrix theory by Cardoso, L.S., Debbah, M., Bianchi, P., Najim, J.

“…In this paper, using tools from asymptotic random matrix theory, a new cooperative scheme for frequency band sensing is introduced for both AWGN and fading…”
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Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs by Cook, Nicholas, Hachem, Walid, Najim, Jamal, Renfrew, David

“…For each n, let An = (σij) be an n × n deterministic matrix and let Xn = (Xij) be an n × n random matrix with i.i.d. centered entries of unit variance. We…”
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Large complex correlated Wishart matrices: the Pearcey kernel and expansion at the hard edge by Hachem, Walid, Hardy, Adrien, Najim, Jamal

“…We study the eigenvalue behaviour of large complex correlated Wishart matrices near an interior point of the limiting spectrum where the density vanishes (cusp…”
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Performance of Statistical Tests for Single-Source Detection Using Random Matrix Theory by Bianchi, P, Debbah, M, Maida, M, Najim, J

“…This paper introduces a unified framework for the detection of a single source with a sensor array in the context where the noise variance and the channel…”
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Positive Solutions for Large Random Linear Systems by Bizeul, Pierre, Clenet, Maxime, Najim, Jamal

“…Consider a large linear system with random underlying matrix: x n = 1 n + 1/(α n √β n )M n x n , where x n is the unknown, 1 n is a vector of ones, M n is a…”
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A CLT for Information-Theoretic Statistics of Gram Random Matrices with a Given Variance Profile by Hachem, Walid, Loubaton, Philippe, Najim, Jamal

“…Consider an N × n random matrix $Y_{n}=(Y_{ij}^{n})$ with entries given by $Y_{ij}^{n}=\frac{\sigma _{ij}(n)}{\sqrt{n}}X_{ij}^{n}$, the $X_{ij}^{n}$ being…”
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A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels by Hachem, W., Khorunzhiy, O., Loubaton, P., Najim, J., Pastur, L.

“…This paper adresses the behavior of the mutual information of correlated multiple-input multiple-output (MIMO) Rayleigh channels when the numbers of transmit…”
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On the Capacity Achieving Covariance Matrix for Rician MIMO Channels: An Asymptotic Approach by Dumont, J., Hachem, W., Lasaulce, S., Loubaton, P., Najim, J.

“…In this paper, the capacity-achieving input covariance matrices for coherent block-fading correlated multiple input multiple output (MIMO) Rician channels are…”
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Eigenvalue Estimation of Parametrized Covariance Matrices of Large Dimensional Data by Yao, Jianfeng, Kammoun, Abla, Najim, Jamal

“…This paper deals with the problem of estimating the covariance matrix of a series of independent multivariate observations, in the case where the dimension of…”
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Eigenvalue Estimation of Parameterized Covariance Matrices of Large Dimensional Data by Jianfeng Yao, Kammoun, A., Najim, J.

“…This article deals with the problem of estimating the covariance matrix of a series of independent multivariate observations, in the case where the dimension…”
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