Tilings associated with beta-numeration and substitutions.

By Val'erie Berth'e, Anne Siegel. 2005

118 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a9f9b50430cd82a3a15f5f986ca59b4a0452ae58

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1. J.-Y. Lee
2. Jörg M. Thuswaldner
3. Marcy Barge
4. Shigeki Akiyama

Citations in the corpus

• On the Pisot Substitution Conjecture (2015, background): “In fact, it is strongly connected with the dual multi-tiling of E s discussed above for symbolic substitutions and as highlighted in [35, 36].”
• Beta-expansions, natural extensions and multiple tilings associated with Pisot units (2009, unknown): “This is a version of the Pisot conjecture, which is discussed at length in the survey paper [BS05] by Berthé and Siegel.”
• Topological Properties of Rauzy Fractals (2010, methodology): “It is stated in the present form in [38].”