2 papers
math.DS2024
Construction of Invariant Curves for Some Piecewise Isometries
Noah Cockram, Peter Ashwin, Ana Rodrigues
We establish conditions for the existence of a family of piecewise linear invariant curves in a two-parameter family of piecewise isometries on the upper half-plane known as Transl…
math.DS2024
Renormalization of Translated Cone Exchange Transformations
Noah Cockram, Peter Ashwin, Ana Rodrigues
In this paper, we investigate a class of non-invertible piecewise isometries on the upper half-plane known as Translated Cone Exchanges. These maps include a simple interval exchan…