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math.DS2019
Relative growth in hyperbolic groups
Stephen Cantrell, Richard Sharp
In this note we obtain estimates on the relative growth of normal subgroups of non-elementary hyperbolic groups, particularly those with free abelian quotient. As a corollary, we d…
math.DS2019
Anosov flows, growth rates on covers and group extensions of subshifts
Rhiannon Dougall, Richard Sharp
The aim of this paper is to study growth properties of group extensions of hyperbolic dynamical systems, where we do not assume that the extension satisfies the symmetry conditions…