Topological Signals

Topology shapes dynamics of higher-order networks

This research explores how higher-order interactions in complex systems influence the dynamics of topological signals, revealing new insights into the interplay between topology and dynamics.

Ana P. Millán, Hanlin Sun, Lorenzo Giambagli, Riccardo Muolo, Timoteo Carletti, Joaquín J. Torres, Filippo Radicchi, Jürgen Kurths, Ginestra Bianconi

Topology shapes dynamics of higher-order networks

Global topological synchronization on simplicial and cell complexes

This research explores the global synchronization of topological signals on higher-order networks, revealing that topological constraints impact synchronization differently across various network structures.

Timoteo Carletti, Lorenzo Giambagli, Ginestra Bianconi

Global topological synchronization on simplicial and cell complexes

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

Diffusion-driven instability of topological signals coupled by the Dirac operator