Affine interval exchange maps with a wandering interval

2008/05/31 by Stefano Marmi, S. Marmi, Pierre Moussa +3 · 1 citation
Computer Science · Mathematics · #Advanced Topology and Set Theory #Affine combination #Affine coordinate system #Affine group #Affine transformation #Cellular Automata and Applications #Construct (python library) #Interval (graph theory) #Mathematical Dynamics and Fractals #Unit interval #math.CV #math.DS #math.NT #msc:11J70 #msc:37C15 #msc:37E05

paper · pdf · doi:10.1112/plms/pdp037

43 pages, 1 figure

arxiv created 2009/03/04 · openalex publication_date 2009/10/08 · arxiv updated 2014/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

For almost all interval exchange maps T₀, with combinatorics of genus g>=2, we construct affine interval exchange maps T which are semi-conjugate to T₀ and have a wandering interval.

Cited by

• Dynamical decomposition of generalized interval exchange transformations

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