31 citations · 55 across the 5 of their papers we have counts for
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math.DS2010★ 9 cited
A directional uniformity of periodic point distribution and mixing
R. Miles, T. Ward
For mixing~-actions generated by commuting automorphisms of a compact abelian group, we investigate the directional uniformity of the rate of periodic point distributi…
math.DS2008★ 10 cited
Mertens' theorem for toral automorphisms
S. Jaidee, S. Stevens, T. Ward
A dynamical Mertens' theorem for ergodic toral automorphisms with error term O(N^{-1}) is found, and the influence of resonances among the eigenvalues of unit modulus is examined.…
math.DS2007★ 31 cited
Dirichlet series for finite combinatorial rank dynamics
G. Everest, R. Miles, S. Stevens +1
We introduce a class of group endomorphisms -- those of finite combinatorial rank -- exhibiting slow orbit growth. An associated Dirichlet series is used to obtain an exact orbit c…