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physics.data-an2026
Emergent Self-Attention from Astrocyte-Gated Associative Memory Dynamics
Arnau Vivet, Alex Arenas
We introduce a Hopfield-type associative memory in which effective connectivity is multiplicatively modulated by astrocytic gains evolving under an entropy-regularized replicator e…
physics.soc-ph2026
Cycle holonomy captures higher-order compatibility constraints in remote synchronization
Lluís Torres-Hugas, Jordi Duch, Sergio Gómez +1
Higher-order interactions have typically been modeled using hypergraphs or simplicial complexes, where interactions explicitly involve more than two nodes. Here we demonstrate that…
physics.soc-ph2026
A convex-geometric framework for fully phase-locked states in the finite Kuramoto model
Antonio Garijo, Sergio Gómez, Alex Arenas
We study the finite-size Kuramoto model of all-to-all coupled phase oscillators with heterogeneous natural frequencies and characterize the minimal coupling strength required for t…