Asymptotic Pairs for Interval Exchange Transformations

2020/09/05 by Ethan Akin, Akin, Ethan, Alfonso Artigue +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2009.02592

openalex publication_date 2020/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a simple description of asymptotic pairs in the subshift associated with an interval exchange transformation and show that, under reasonably general conditions, doubly asymptotic pairs do not occur.

Related

• Relations with a fixed interval exchange transformation
• Orbit structure of interval exchange transformations with flip
• Discontinuity growth of interval exchange maps
• Infinite Interval Exchange Transformations from Shifts
• There exists a topologically mixing IET