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math.DS2014
Complexity and directional entropy in two dimensions
Ryan Broderick, Van Cyr, Bryna Kra
We study the directional entropy of the dynamical system associated to a configuration in a finite alphabet. We show that under local assumptions on the complexity, either e…
math.DS2014★ 4 cited
The automorphism group of a shift of subquadratic growth
Van Cyr, Bryna Kra
For a subshift over a finite alphabet, a measure of the complexity of the system is obtained by counting the number of nonempty cylinder sets of length . When this complexity gr…