From the 1 of 3 linked papers with an AI index.
3 papers
physics.soc-ph2026
A convex-geometric framework for fully phase-locked states in the finite Kuramoto model
Antonio Garijo, Sergio Gómez, Alex Arenas
The paper analyzes the finite-size Kuramoto model and derives a convex‑geometric description of the minimal coupling needed for all oscillators to lock in phase, providing an expli…
physics.soc-ph2026
Cycle holonomy captures higher-order compatibility constraints in remote synchronization
LluÃs 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.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…