5 papers
Evolutionary path dependence of semantic complexity
Elliot M. Butterworth, Tim Rogers, Matthew A. Wills
Attempts to quantify biological complexity often consider intrinsic structural properties at a chosen hierarchical level and resolution, such as counts of body parts and their degr…
Slow evolution towards generalism in a model of variable dietary range
Elliot M. Butterworth, Tim Rogers
Species sharing a habitat will co-evolve to make use of the available resources, as consumption is modulated by competition and negative feedback loops between consumers and resour…
Predicting oscillations in complex networks with delayed feedback
Shijie Liu, Jinliang Han, Jianming Liu +2
Oscillatory dynamics are common features of complex networks, often playing essential roles in regulating function. Across scales from gene regulatory networks to ecosystems, delay…
An iterative spectral algorithm for digraph clustering
James Martin, Tim Rogers, Luca Zanetti
Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the pr…
Percolation and localisation: Sub-leading eigenvalues of the nonbacktracking matrix
James Martin, Tim Rogers, Luca Zanetti
The spectrum of the nonbacktracking matrix associated to a network is known to contain fundamental information regarding percolation properties of the network. Indeed, the inverse…