22 citations · 54 across the 15 of their papers we have counts for
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math.DS2014
The automorphism group of a shift of linear growth: beyond transitivity
Van Cyr, Bryna Kra
For a finite alphabet and shift whose factor complexity function grows at most linearly, we study the algebraic properties of the…
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…