Topological Properties of Rauzy Fractals

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On the Pisot Substitution Conjecture (2015, background): “According to the formalism of dual substitutions developed in [14], dual versions of these conditions have been expressed in [14, 65, 108, 39].”
Beyond substitutive dynamical systems: S-adic expansions (2013, background): “actal. The theory of Rauzy fractals has now proved its relevance in this framework and they have many applications in various elds that range from number theory to discrete geometry; see for instance [128] or [30, Chap. 5] for a survey of the literature. However the parameters associated with Rauzy ”
Beta-expansions, natural extensions and multiple tilings associated with Pisot units (2009, unknown): “1 in [ST10] and Theorem 5.”