201 citations · 490 across the 34 of their papers we have counts for
37 papers
Extreme eigenvalues and eigenvectors for finite rank additive deformations of non-hermitian sparse random matrices
Walid Hachem, Michail Louvaris, Jamal Najim
Consider a sparse non-Hermitian random matrix defined as the Hadamard product between a random matrix with centered independent and identically distributed entrie…
Approximate Message Passing for general non-Symmetric random matrices
Mohammed-Younes Gueddari, Walid Hachem, Jamal Najim
Approximate Message Passing (AMP) algorithms are a family of iterative algorithms based on large random matrices with the special property of tracking the statistical properties of…
Elliptic Approximate Message Passing and an application to theoretical ecology
Mohammed-Younes Gueddari, Walid Hachem, Jamal Najim
Approximate Message Passing (AMP) algorithmshave recently gathered significant attention across disciplines such as statistical physics, machine learning, and communication systems…
Impact of a block structure on the Lotka-Volterra model
Maxime Clenet, François Massol, Jamal Najim
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 consists of couple…
Equilibria of large random Lotka-Volterra systems with vanishing species: a mathematical approach
Imane Akjouj, Walid Hachem, Mylène Maïda +1
Ecosystems with a large number of species are often modelled as Lotka-Volterra dynamical systems built around a large random interaction matrix. Under some known conditions, a glob…
Complex systems in Ecology: a guided tour with large Lotka-Volterra models and random matrices
Imane Akjouj, Matthieu Barbier, Maxime Clenet +5
Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form where…