6 citations · 16 across the 10 of their papers we have counts for
13 papers
Weight geometry governs functional memory in complex systems
Elkaïoum M. Moutuou, Habib Benali
Complex systems, from gene regulatory networks to neural circuits and ecological food webs, exhibit rich functional behaviour that topology alone does not capture. Yet functional c…
Thermodynamic connectivity reveals functional specialization and multiplex organization of extrasynaptic signaling
Giridhar Sunil, Habib Benali, Elkaïoum M. Moutuou
Neural communication operates on both fast synaptic transmission and slower, diffusive extrasynaptic signaling, yet how these two modes jointly organize brain function remains uncl…
Graphs as focal interaction systems in higher-order dynamics
Elkaïoum M. Moutuou
Graphs and hypergraphs are commonly distinguished by the order of the relations they represent, with graphs encoding pairwise relations and hypergraphs encoding interactions among…
Kubo-Martin-Schwinger states of Path-structured Flow in Directed Brain Synaptic Networks
El-kaïoum M. Moutuou, Habib Benali
The brain's synaptic network, characterized by parallel connections and feedback loops, drives interaction pathways between neurons through a large system with infinitely many degr…
Brain functions emerge as thermal equilibrium states of the connectome
Elkaïoum M. Moutuou, Habib Benali
A fundamental idea in neuroscience is that cognitive functions -- such as perception, learning, memory, and locomotion -- are shaped and constrained by the brain's structural organ…
Crossed extensions and equivalences of topological 2-groupoids
El-kaïoum M. Moutuou
We provide concrete models for generalized morphisms and Morita equivalences of topological 2-groupoids by introducing the notions of crossings and crossed extensions of groupoid c…
Finitely stable racks and rack representations
Mohamed Elhamdadi, El-kaïoum M. Moutuou
We define a new class of racks, called finitely stable racks, which, to some extent, share various flavors with Abelian groups. Characterization of finitely stable Alexander quandl…
Foundations of topological racks and quandles
Mohamed Elhamdadi, El-kaïoum M. Moutuou
We give a foundational account on topological racks and quandles. Specifically, we define the notions of ideals, kernels, units, and inner automorphism group in the context of topo…
Equivariant $\KK$-theory for generalised actions and Thom isomorphism in groupoid twisted $\K$-theory
El-kaïoum M. Moutuou
We develop equivariant KK-theory for locally compact groupoid actions by Morita equivalences on real and complex graded C*-algebras. Functoriality with respect to generalised morph…
On groupoids with involutions and their cohomology
El-kaïoum M. Moutuou
We extend the definitions and main properties of graded extensions to the category of locally compact groupoids endowed with involutions. We introduce Real Čech cohomology, which i…
Graded Brauer groups of a groupoid with involution
El-kaïoum M. Moutuou
We define a group containing, in a sense, the graded complex and orthogonal Brauer groups of a locally compact groupoid equipped with an involution…
Twistings of KR for Real groupoids
El-kaïoum M. Moutuou
B-fields over a groupoid with involution are defined as Real graded Dixmier-Douady bundles. We use these to introduce the Real graded Brauer group which constitutes the set of twis…
Equivalence of Fell Systems and their Reduced C*-Algebras
El-kaïoum M. Moutuou, Jean-Louis Tu
This paper is aimed at investigating links between Fell bundles over Morita equivalent groupoids and their corresponding reduced C*-algebras. Mainly, we review the notion of Fell p…