4 citations · 7 across the 7 of their papers we have counts for
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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
Typical behaviour along geodesic rays in hyperbolic groups
Stephen Cantrell
In this note we study the limiting behaviour of real valued functions on hyperbolic groups as we travel along typical geodesic rays in the Gromov boundary of the group. Our results…
math.DS2019
Statistical limit laws for hyperbolic groups
Stephen Cantrell
Using techniques from ergodic theory and symbolic dynamics, we derive statistical limit laws for real valued functions on hyperbolic groups. In particular, our results apply to con…