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math.DS2023
Critical curves of rotations
John A G Roberts, Asaki Saito, Franco Vivaldi
In rotations with a binary symbolic dynamics, a critical curve is the locus of parameters for which the boundaries of the partition that defines the symbolic dynamics are connected…
math.DS2021★ 2 cited
Critical curves of a piecewise linear map
John A. G. Roberts, Asaki Saito, Franco Vivaldi
We study the parameter space of a family of planar maps, which are linear on each of the right and left half-planes. We consider the set of parameters for which every orbit recurs…