3 papers
math.GR2019
Geodesic growth in virtually abelian groups
Alex Bishop
We show that the geodesic growth function of any finitely generated virtually abelian group is either polynomial or exponential; and that the geodesic growth series is holonomic, a…
math.GR2018
Bounded Automata Groups are co-ET0L
Alex Bishop, Murray Elder
Holt and Röver proved that finitely generated bounded automata groups have indexed co-word problem. Here we sharpen this result to show they are in fact co-ET0L.
q-bio.PE2018
Consistent Approximation of Epidemic Dynamics on Degree-heterogeneous Clustered Networks
A. Bishop, I. Z. Kiss, T. House
Realistic human contact networks capable of spreading infectious disease, for example studied in social contact surveys, exhibit both significant degree heterogeneity and clusterin…