2008/01/14 by Xavier Bressaud, Bressaud, Xavier, Pascal Hubert +3
Computer Science · Mathematics · #37C15 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #cs.IT #math.DS #math.IT #msc:37C15
paper · pdf · doi:10.48550/arxiv.0801.2088
arxiv created 2008/01/14 · arxiv updated 2009/12/01
In this article we prove that given a self-similar interval exchange transformation T, whose associated matrix verifies a quite general algebraic condition, there exists an affine interval exchange transformation with wandering intervals that is semi-conjugated to it. That is, in this context the existence of Denjoy counterexamples occurs very often, generalizing the result of M. Cobo in [C].