21 citations · 42 across the 5 of their papers we have counts for
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math.DS2006★ 6 cited
Uniform Periodic Point Growth in Entropy Rank One
Richard Miles, Thomas Ward
We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.
math.DS2006★ 8 cited
Periodic Point Data Detects Subdynamics in Entropy Rank One
Richard Miles, Thomas Ward
A framework for understanding the geometry of continuous actions of Z^d was developed by Boyle and Lind using the notion of expansive behavior along lower-dimensional subspaces. Fo…