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Now showing items 1-9 of 9
Predicting Urban Innovation from the Workforce Mobility Network in US
(Nature, 2021-01)
While great emphasis has been placed on the role of social interactions as driver of innovation growth, very few empirical studies have explicitly investigated the impact of social network structures on the innovation ...
Non-Markovian Majority-Vote model
(American Physical Society, 2021)
Non-Markovian dynamics pervades human activity and social networks and it induces memory effects and burstiness in a wide range of processes including inter-event time distributions, duration of interactions in temporal ...
The topological Dirac equation of networks and simplicial complexes
(IOP Publishing, 2021-09-14)
We define the topological Dirac equation describing the evolution of a topological wave function on networks or on simplicial complexes. On networks, the topological wave function describes the dynamics of topological ...
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 ...
Universal nonlinear infection kernel from heterogeneous exposure on higher-order networks
(American Physical Society, 2021)
The colocation of individuals in different environments is an important prerequisite for exposure to infectious diseases on a social network. Standard epidemic models fail to capture the potential complexity of this scenario ...
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 ...
Beyond pairwise network similarity: exploring Mediation and Suppression between networks
(2021)
Network similarity measures quantify how and when two networks are symmetrically related, including measures of statistical association such as pairwise distance or other correlation measures between networks or between ...
Geometry, Topology and Simplicial Synchronization
(2021-05-03)
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 ...