Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. Multidimensional continued fractions and symbolic codings of toral translations. (English) Zbl 07774923 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997-5057 (2023). MSC: 37B10 37A30 37A44 11J70 11K50 11A55 11Y65 28A80 PDFBibTeX XMLCite \textit{V. Berthé} et al., J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997--5057 (2023; Zbl 07774923) Full Text: DOI arXiv
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. On the second Lyapunov exponent of some multidimensional continued fraction algorithms. (English) Zbl 1473.11012 Math. Comput. 90, No. 328, 883-905 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11J70 11K50 37D25 PDFBibTeX XMLCite \textit{V. Berthé} et al., Math. Comput. 90, No. 328, 883--905 (2021; Zbl 1473.11012) Full Text: DOI arXiv
Rossi, Lucía; Steiner, Wolfgang; Thuswaldner, Jörg M. Rational self-affine tiles associated to standard and nonstandard digit systems. arXiv:2110.09112 Preprint, arXiv:2110.09112 [math.NT] (2021). MSC: 11A63 BibTeX Cite \textit{L. Rossi} et al., ``Rational self-affine tiles associated to standard and nonstandard digit systems'', Preprint, arXiv:2110.09112 [math.NT] (2021) Full Text: arXiv OA License
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem Recognizability for sequences of morphisms. (English) Zbl 1476.37022 Ergodic Theory Dyn. Syst. 39, No. 11, 2896-2931 (2019). MSC: 37B10 37B52 37B51 03D40 05A05 PDFBibTeX XMLCite \textit{V. Berthé} et al., Ergodic Theory Dyn. Syst. 39, No. 11, 2896--2931 (2019; Zbl 1476.37022) Full Text: DOI arXiv
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) (English. French summary) Zbl 1433.37010 Ann. Inst. Fourier 69, No. 3, 1347-1409 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37B10 37B52 37A46 11K31 11K50 28A80 PDFBibTeX XMLCite \textit{V. Berthé} et al., Ann. Inst. Fourier 69, No. 3, 1347--1409 (2019; Zbl 1433.37010) Full Text: DOI arXiv
Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg The \(S\)-adic Pisot conjecture on two letters. (English) Zbl 1368.37020 Topology Appl. 205, 47-57 (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 37B10 37A30 52C23 68R15 11R06 PDFBibTeX XMLCite \textit{V. Berthé} et al., Topology Appl. 205, 47--57 (2016; Zbl 1368.37020) Full Text: DOI arXiv
Steiner, Wolfgang; Thuswaldner, Jörg M. Rational self-affine tiles. (English) Zbl 1329.52019 Trans. Am. Math. Soc. 367, No. 11, 7863-7894 (2015). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52C22 11A63 28A80 PDFBibTeX XMLCite \textit{W. Steiner} and \textit{J. M. Thuswaldner}, Trans. Am. Math. Soc. 367, No. 11, 7863--7894 (2015; Zbl 1329.52019) Full Text: DOI arXiv
Morgenbesser, Johannes F.; Steiner, Wolfgang; Thuswaldner, Jörg M. Patterns in rational base number systems. (English) Zbl 1320.11006 J. Fourier Anal. Appl. 19, No. 2, 225-250 (2013). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11A63 28A80 52C22 PDFBibTeX XMLCite \textit{J. F. Morgenbesser} et al., J. Fourier Anal. Appl. 19, No. 2, 225--250 (2013; Zbl 1320.11006) Full Text: DOI arXiv
Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg Similar dissection of sets. (English) Zbl 1226.52006 Geom. Dedicata 150, 233-247 (2011). MSC: 52C22 28A80 52C20 PDFBibTeX XMLCite \textit{S. Akiyama} et al., Geom. Dedicata 150, 233--247 (2011; Zbl 1226.52006) Full Text: DOI arXiv
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M. Fractal tiles associated with shift radix systems. (English) Zbl 1221.11018 Adv. Math. 226, No. 1, 139-175 (2011). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 11A63 28A80 52C22 PDFBibTeX XMLCite \textit{V. Berthé} et al., Adv. Math. 226, No. 1, 139--175 (2011; Zbl 1221.11018) Full Text: DOI arXiv