Topological Signals

Diffusion-driven instability of topological signals coupled by the Dirac operator
This research examines reaction-diffusion processes on networks, particularly focusing on topological signals across nodes, links, and cells. It uses the Dirac operator to study interactions and reveals conditions for Turing pattern emergence, validating the findings on network models and square lattices.
Lorenzo Giambagli, Lucille Calmon, Riccardo Muolo, Timoteo Carletti, Ginestra Bianconi
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Diffusion-driven instability of topological signals coupled by the Dirac operator