Now showing items 1-3 of 3
Network Geometry and Complexity
(Springer Verlag, 2018-07-18)
Higher order networks are able to characterize data as different as functional brain networks, protein interaction networks and social networks beyond the framework of pairwise interactions. Most notably higher order ...
The higher-order spectrum of simplicial complexes: a renormalization group approach
Network topology is a flourishing interdisciplinary subject that is relevant for different disciplines including quantum gravity and brain research. The discrete topological objects that are investigated in network topology ...
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 ...