Li, Yao-Qiang Hausdorff dimension of frequency sets in beta-expansions. (English) Zbl 1507.11069 Math. Z. 302, No. 4, 2059-2076 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fang, Lulu; Wu, Min; Li, Bing Approximation orders of real numbers by \(\beta\)-expansions. (English) Zbl 1452.11097 Math. Z. 296, No. 1-2, 13-40 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 37B10 37E05 37A25 37A50 28D05 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavani, Gustavo A. On a class of Rauzy fractals without the finiteness property. (English) Zbl 1462.11026 Osaka J. Math. 56, No. 3, 577-599 (2019). MSC: 11B85 28A80 37B10 52C20 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Lu, Jian; Tan, Bo; Zou, Yuru Intersections of translation of a class of Sierpinski carpets. (English) Zbl 1433.28020 Fractals 26, No. 3, Article ID 1850034, 10 p. (2018). MSC: 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Zhi Ying; Yang, Ya Min Periodic codings of algebraic graph-directed IFS. (English) Zbl 1314.28006 Sci. China, Math. 58, No. 1, 131-142 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Bruin, Henk; Kalle, Charlene Natural extensions for piecewise affine maps via Hofbauer towers. (English) Zbl 1306.37005 Monatsh. Math. 175, No. 1, 65-88 (2014). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A05 37B10 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minervino, Milton; Steiner, Wolfgang Tilings for Pisot beta numeration. (English) Zbl 1293.11084 Indag. Math., New Ser. 25, No. 4, 745-773 (2014). MSC: 11K16 11K55 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baker, S. On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions. (English) Zbl 1299.11052 Acta Math. Hung. 142, No. 1, 95-109 (2014). Reviewer: Christoph Aistleitner (Rokko, Kobe) MSC: 11K16 37A45 28A78 37C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kalle, Charlene; Steiner, Wolfgang Beta-expansions, natural extensions and multiple tilings associated with Pisot units. (English) Zbl 1295.11010 Trans. Am. Math. Soc. 364, No. 5, 2281-2318 (2012). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11A67 11R06 28A80 28D05 37B10 52C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Olivier, Eric On a class of sofic affine invariant subsets of the 2-torus related to an Erdős problem. (English) Zbl 1268.37032 Monatsh. Math. 165, No. 3-4, 447-497 (2012). Reviewer: Bernd O. Stratmann (Bremen) MSC: 37D35 37B10 37A35 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Yuru; Li, Wenxia; Yan, Caiguang Intersecting nonhomogeneous Cantor sets with their translations. (English) Zbl 1217.28019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4660-4670 (2011). MSC: 28A80 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. (English) Zbl 1190.11005 Monatsh. Math. 155, No. 3-4, 377-419 (2008). Reviewer: Takao Komatsu (Hirosaki) MSC: 11A63 03D45 11S99 28A75 52C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baker, Veronica; Barge, Marcy; Kwapisz, Jaroslaw Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts. (English) Zbl 1138.37008 Ann. Inst. Fourier 56, No. 7, 2213-2248 (2006). MSC: 37B50 11R06 37A45 28D05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Lindenstrauss, Elon; Schmidt, Klaus Symbolic representations of nonexpansive group automorphisms. (English) Zbl 1087.37010 Isr. J. Math. 149, 227-266 (2005). Reviewer: Victor Sharapov (Volgograd) MSC: 37B10 28D10 37A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertrand-Mathis, Anne Développement en base \(\theta\) , répartition modulo un de la suite \((x\theta ^ n)\), n\(\geq 0\), langages codes et \(\theta\)-shift. (Expansion in base \(\theta\) , uniform distribution of the sequence \((x\theta ^ n)\), n\(\geq 0\), coding languages and \(\theta\)-shift). (French) Zbl 0628.58024 Bull. Soc. Math. Fr. 114, 271-323 (1986). Reviewer: B.Kitchens MSC: 37A99 11K06 28D99 11R06 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML