189 citations · 321 across the 9 of their papers we have counts for
9 papers
Equitability and explosive synchronisation in multiplex and higher-order networks
Kirill Kovalenko, Gonzalo Contreras-Aso, Charo I. del Genio +2
Cluster synchronisation is a key phenomenon observed in networks of coupled dynamical units. Its presence has been linked to symmetry and, more generally, to equability of the unde…
Learning from data with structured missingness
Robin Mitra, Sarah F. McGough, Tapabrata Chakraborti +17
Missing data are an unavoidable complication in many machine learning tasks. When data are `missing at random' there exist a range of tools and techniques to deal with the issue. H…
Geometry and symmetry in biochemical reaction systems
Raffaella Mulas, Rubén J. Sánchez-García, Ben D. MacArthur
Complex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the…
Stability and steady state of complex cooperative systems: a diakoptic approach
Philip Greulich, Benjamin D. MacArthur, Cristina Parigini +1
Cooperative dynamics are common in ecology and population dynamics. However, their commonly high degree of complexity with a large number of coupled degrees of freedom renders them…
Microdynamics and Criticality of Adaptive Regulatory Networks
Ben D. MacArthur, Rubén J. Sánchez-García, Avi Ma'ayan
We present a model of adaptive regulatory networks consisting of a simple biologically-motivated rewiring procedure coupled to an elementary stability criterion. The resulting netw…
Spectral Characteristics of Network Redundancy
Ben D. MacArthur, Rubén J. Sánchez-García
Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturall…
On Automorphism Groups of Networks
Ben D. MacArthur, Rubén J. Sánchez-García, James W. Anderson
We consider the size and structure of the automorphism groups of a variety of empirical `real-world' networks and find that, in contrast to classical random graph models, many real…
Equivariant K-homology for some Coxeter groups
Ruben Sanchez-Garcia
We obtain the equivariant K-homology of the classifying space \underline{E}W for W a right-angled or, more generally, an even Coxeter group. The key result is a formula for the rel…
Bredon homology and equivariant K-homology of SL(3,Z)
Ruben Sanchez-Garcia
We obtain the equivariant K-homology of the classifying space \underline{E}SL(3,Z) from the computation of its Bredon homology with respect to finite subgroups and coefficients in…