Author(s): Cockram, Noah ; Ashwin, Peter ; Rodrigues, Ana
Date: 2025
Persistent ID: http://hdl.handle.net/10174/38262
Origin: Repositório Científico da Universidade de Évora
Document details
Renormalization of translated cone exchange transformations
Description
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 exchange on a boundary we call the baseline. We provide a geometric construction for the first return map to a neighbourhood of the vertex of the middle cone for a large class of parameters, then we show a recurrence in the first return map tied to Diophantine properties of the parameters, and subsequently prove the infinite renormalizability of the first return map for these parameters.
Document Type
Journal article
Language Portuguese
Language Portuguese
