Infinite Interval Exchange Transformations from Shifts

2015/06/22 by Luis-Miguel Lopez, Lopez, Luis-Miguel, Philippe Narbel +1
Mathematics · #37B10 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37B10 #msc:37E05

paper · pdf · doi:10.48550/arxiv.1506.06683

arxiv created 2015/11/04 · arxiv updated 2015/11/05

Abstract

We show that minimal shifts with zero topological entropy are topologically conjugate to interval exchange transformations, generally infinite. When these shifts have linear factor complexity (linear block growth), the conjugate interval exchanges are proved to satisfy strong finiteness properties.

Related

• There exists a topologically mixing IET
• Regularity of conjugacies of linearizable generalized interval exchange transformations
• Forcing Minimal Interval Patterns as Interval Exchange Transformations
• Non-Injectivity of Infinite Interval Exchange Transformations and Generalized Thue-Morse Sequences
• Relations with a fixed interval exchange transformation