17 papers
Learning Dirac Spectral Transforms for Topological Signals
Leonardo Di Nino, Tiziana Cattai, Sergio Barbarossa +2
The Dirac operator provides a unified framework for processing signals defined over different order topological domains, such as node and edge signals. Its eigenmodes define a spec…
Directed extended-range percolation
Wenbo Liu, Yiwen Zeng, Xueming Liu +1
While for standard percolation directionality is known to increase the combinatorial complexity of percolation, here we show that when connectivity is ensured by paths of length $R…
Thermodynamics of the Gravity from Entropy theory
Ginestra Bianconi
The Gravity from Entropy (GfE) action posits that gravity that is fundamentally given by the information encoded in the interplay between matter and geometry. The GfE Lagrangian is…
Feedback percolation on complex networks
Hoseung Jang, Ginestra Bianconi, Byungjoon Min
Traditional percolation theory assumes static microscopic rules, limiting its ability to describe real-world complex systems where macroscopic order actively regulates local intera…
Topology and higher-order global synchronization on directed and hollow simplicial and cell complexes
Runyue Wang, Timoteo Carletti, Ginestra Bianconi
Higher-order networks encode the many-body interactions of complex systems ranging from the brain to biological transportation networks. Simplicial and cell complexes are ideal hig…
Triadic percolation on multilayer networks
Hanlin Sun, Filippo Radicchi, Ginestra Bianconi
Triadic interactions are special types of higher-order interactions that occur when regulator nodes modulate the interactions between other two or more nodes. In presence of triadi…