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
Miro, Eden Delight; Rust, Dan; Sadun, Lorenzo; Tadeo, Gwendolyn Topological mixing of random substitutions. (English) Zbl 07720414 Isr. J. Math. 255, No. 1, 123-153 (2023). Reviewer: Francisco Balibrea (Murcia) MSC: 37H12 37B10 37B20 37B51 37B52 37B05 37A25 PDFBibTeX XMLCite \textit{E. D. Miro} et al., Isr. J. Math. 255, No. 1, 123--153 (2023; Zbl 07720414) Full Text: DOI arXiv
Gohlke, P.; Mitchell, A.; Rust, D.; Samuel, T. Measure theoretic entropy of random substitution subshifts. (English) Zbl 1512.37022 Ann. Henri Poincaré 24, No. 1, 277-323 (2023). Reviewer: Hasan Akin (Trieste) MSC: 37B10 37B51 37B52 37H12 37A25 37A50 52C23 PDFBibTeX XMLCite \textit{P. Gohlke} et al., Ann. Henri Poincaré 24, No. 1, 277--323 (2023; Zbl 1512.37022) Full Text: DOI arXiv
Gheeraert, France; Lejeune, Marie; Leroy, Julien \(\mathcal{S}\)-adic characterization of minimal ternary dendric shifts. (English) Zbl 1516.37020 Ergodic Theory Dyn. Syst. 42, No. 11, 3393-3432 (2022). Reviewer: Dan Rust (Milton Keynes) MSC: 37B10 37B51 37E25 37E15 68R15 PDFBibTeX XMLCite \textit{F. Gheeraert} et al., Ergodic Theory Dyn. Syst. 42, No. 11, 3393--3432 (2022; Zbl 1516.37020) Full Text: DOI arXiv
Labbé, Sébastien Substitutive structure of Jeandel-Rao aperiodic tilings. (English) Zbl 1461.52022 Discrete Comput. Geom. 65, No. 3, 800-855 (2021). MSC: 52C23 37B52 37B51 PDFBibTeX XMLCite \textit{S. Labbé}, Discrete Comput. Geom. 65, No. 3, 800--855 (2021; Zbl 1461.52022) Full Text: DOI arXiv
Bustos, Álvaro Extended symmetry groups of multidimensional subshifts with hierarchical structure. (English) Zbl 1450.37010 Discrete Contin. Dyn. Syst. 40, No. 10, 5869-5895 (2020). MSC: 37B10 37B51 37B52 20B27 52C23 PDFBibTeX XMLCite \textit{Á. Bustos}, Discrete Contin. Dyn. Syst. 40, No. 10, 5869--5895 (2020; Zbl 1450.37010) Full Text: DOI
Dykstra, Andrew; Lemasurier, Michelle Topological conjugacy for the Morse minimal system: an example. (English) Zbl 1455.37016 Topol. Proc. 55, 265-271 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 37B51 37B10 37C15 PDFBibTeX XMLCite \textit{A. Dykstra} and \textit{M. Lemasurier}, Topol. Proc. 55, 265--271 (2020; Zbl 1455.37016)
Berthé, V.; Labbé, S. Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm. (English) Zbl 1310.68170 Adv. Appl. Math. 63, 90-130 (2015). Reviewer: Wolfgang Steiner (Sydney) MSC: 68R15 37B10 PDFBibTeX XMLCite \textit{V. Berthé} and \textit{S. Labbé}, Adv. Appl. Math. 63, 90--130 (2015; Zbl 1310.68170) Full Text: DOI arXiv
Berthé, Valérie; Lacasse, Annie; Paquin, Geneviève; Provençal, Xavier A study of Jacobi-Perron boundary words for the generation of discrete planes. (English) Zbl 1296.68113 Theor. Comput. Sci. 502, 118-142 (2013). MSC: 68R15 52C35 PDFBibTeX XMLCite \textit{V. Berthé} et al., Theor. Comput. Sci. 502, 118--142 (2013; Zbl 1296.68113) Full Text: DOI
Berthé, Valérie Discrete geometry and numeration. (English) Zbl 1480.37022 Actes Rencontres C.I.R.M. 1, No. 1, 17-22 (2009). MSC: 37B10 37B51 37B52 37E15 11A55 52C99 PDFBibTeX XMLCite \textit{V. Berthé}, Actes Rencontres C.I.R.M. 1, No. 1, 17--22 (2009; Zbl 1480.37022) Full Text: DOI Link
Tamura, Jun-ichi Certain words, tilings, their non-periodicity, and substitutions of high dimension. (English) Zbl 1022.11012 Jia, Chaohua (ed.) et al., Analytic number theory. Proceedings of the 1st China-Japan seminar on number theory, Beijing, China, September 13-17, 1999 and the annual conference on analytic number theory, Kyoto, Japan, November 29-December 3, 1999. Dordrecht: Kluwer Academic Publishers. Dev. Math. 6, 303-348 (2002). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11B85 68R15 05B45 52C22 PDFBibTeX XMLCite \textit{J.-i. Tamura}, Dev. Math. 6, 303--348 (2002; Zbl 1022.11012)
Salon, Olivier Substitutions, automates et séries formelles relatifs aux suites à multi-indices. (Substitutions, automata and formal series related with multi-index sequences). (French) Zbl 0673.10040 Publ. Math. Orsay 88/01, 124-129 (1988). Reviewer: J.-P.Allouche MSC: 11B99 68Q70 PDFBibTeX XMLCite \textit{O. Salon}, Publ. Math. Orsay 88/01, 124--129 (1988; Zbl 0673.10040)
Salon, Olivier [Shallit, J. O.] Suites automatiques à multi-indices. (Automatic sequences with multi- indices). Appendix by J. O. Shallit. (French) Zbl 0653.10049 Sémin. Théor. Nombres, Univ. Bordeaux I 1986-1987, Exp. No. 4, 27 p. (1987); Appendix 29A-36A (1987). Reviewer: J.-P.Allouche MSC: 11B99 68Q70 68Q80 11R04 PDFBibTeX XML