Solomyak, Boris Delone sets and dynamical systems. (English) Zbl 1459.37017 Akiyama, Shigeki (ed.) et al., Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Cham: Springer. Lect. Notes Math. 2273, 1-32 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 37B52 37B10 52C23 PDFBibTeX XMLCite \textit{B. Solomyak}, Lect. Notes Math. 2273, 1--32 (2020; Zbl 1459.37017) Full Text: DOI arXiv
Lee, Jeong-Yup; Solomyak, Boris On substitution tilings and Delone sets without finite local complexity. (English) Zbl 1414.37008 Discrete Contin. Dyn. Syst. 39, No. 6, 3149-3177 (2019). MSC: 37B50 52C23 PDFBibTeX XMLCite \textit{J.-Y. Lee} and \textit{B. Solomyak}, Discrete Contin. Dyn. Syst. 39, No. 6, 3149--3177 (2019; Zbl 1414.37008) Full Text: DOI arXiv
Loridant, Benoit; Thuswaldner, Jörg M. Interior components of a tile associated to a quadratic canonical number system. (English) Zbl 1148.28009 Topology Appl. 155, No. 7, 667-695 (2008). Reviewer: Su Weiyi (Nanjing) MSC: 11A63 11K55 28A78 37B50 11R11 PDFBibTeX XMLCite \textit{B. Loridant} and \textit{J. M. Thuswaldner}, Topology Appl. 155, No. 7, 667--695 (2008; Zbl 1148.28009) Full Text: DOI
Lee, Jeong-Yup; Solomyak, Boris Pure point diffractive substitution Delone sets have the Meyer property. (English) Zbl 1168.37003 Discrete Comput. Geom. 39, No. 1-3, 319-338 (2008). Reviewer: Andrzej Pelczar (Kraków) MSC: 37B50 52C23 PDFBibTeX XMLCite \textit{J.-Y. Lee} and \textit{B. Solomyak}, Discrete Comput. Geom. 39, No. 1--3, 319--338 (2008; Zbl 1168.37003) Full Text: DOI
Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg Dynamical directions in numeration. (English) Zbl 1138.37005 Ann. Inst. Fourier 56, No. 7, 1987-2092 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 37B10 11A63 11J70 37A45 68Q45 68R15 37-02 PDFBibTeX XMLCite \textit{G. Barat} et al., Ann. Inst. Fourier 56, No. 7, 1987--2092 (2006; Zbl 1138.37005) Full Text: DOI Numdam EuDML
Akiyama, Shigeki; Thuswaldner, J. M. The topological structure of fractal tilings generated by quadratic number systems. (English) Zbl 1123.11004 Comput. Math. Appl. 49, No. 9-10, 1439-1485 (2005). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11A63 11K55 28A80 37B50 05B45 52C22 PDFBibTeX XMLCite \textit{S. Akiyama} and \textit{J. M. Thuswaldner}, Comput. Math. Appl. 49, No. 9--10, 1439--1485 (2005; Zbl 1123.11004) Full Text: DOI