Now showing items 11-16 of 16
Higher-order percolation processes on multiplex hypergraphs
(American Physical Society, 2021-09-15)
Higher-order interactions are increasingly recognised as a fundamental aspect of complex systems ranging from the brain to social contact networks. Hypergraphs as well as simplicial complexes capture the higher-order ...
Local topological moves determine global diffusion properties of hyperbolic higher-order networks
(American Physical Society, 2021)
From social interactions to the human brain, higher-order networks are key to describe the underlying network geometry and topology of many complex systems. While it is well known that network structure strongly affects ...
Higher-order simplicial synchronization of coupled topological signals
(Nature Research, 2021-06-07)
Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higher-order ...
Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
(Nature Research (part of Springer Nature), 2021)
When describing complex interconnected systems, one often has to go beyond the standard network description to account for generalized interactions. Here, we establish a unified framework to simplify the stability analysis ...
Dirac synchronization is rhythmic and explosive
Geometry, Topology and Simplicial Synchronization
Simplicial synchronization reveals the role that topology and geometry have in determining the dynamical properties of simplicial complexes. Simplicial network geometry and topology are naturally encoded in the spectral ...