Algebraic Topology

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
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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
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Global topological synchronization on simplicial and cell complexes