938 citations
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11 papers · 1 filter
Global topological synchronization of weighted simplicial complexes
Runyue Wang, Riccardo Muolo, Timoteo Carletti +1
Higher-order networks are able to capture the many-body interactions present in complex systems and to unveil new fundamental phenomena revealing the rich interplay between topolog…
Quantum entropy couples matter with geometry
Ginestra Bianconi
We propose a theory for coupling matter fields with discrete geometry on higher-order networks, i.e. cell complexes. The key idea of the approach is to associate to a higher-order…
Network science Ising states of matter
Hanlin Sun, Rajat Kumar Panda, Roberto Verdel +3
Network science provides very powerful tools for extracting information from interacting data. Although recently the unsupervised detection of phases of matter using machine learni…
Dirac gauge theory for topological spinors in 3+1 dimensional networks
Ginestra Bianconi
Gauge theories on graphs and networks are attracting increasing attention not only as approaches to quantum gravity but also as models for performing quantum computation. Here we p…
Local Dirac Synchronization on Networks
Lucille Calmon, Sanjukta Krishnagopal, Ginestra Bianconi
We propose Local Dirac Synchronization which uses the Dirac operator to capture the dynamics of coupled nodes and link signals on an arbitrary network. In Local Dirac Synchronizati…
Strong Connectivity in Real Directed Networks
Niall Rodgers, Peter Tino, Samuel Johnson
In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs…