3 papers
math.DS2026
Topological Entropy for Power-Law Unimodal Maps
Michael Benedicks, Ana Rodrigues
In this paper we prove that the monotonicity of kneading sequences and topological entropy, a fundamental structural property of the quadratic family, extends to the class of power…
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…