Creutz, Darren; Pavlov, Ronnie Low complexity subshifts have discrete spectrum. (English) Zbl 07753231 Forum Math. Sigma 11, Paper No. e96, 22 p. (2023). MSC: 37B10 37A25 PDF BibTeX XML Cite \textit{D. Creutz} and \textit{R. Pavlov}, Forum Math. Sigma 11, Paper No. e96, 22 p. (2023; Zbl 07753231) Full Text: DOI arXiv OA License
Bufetov, A. I.; Solomyak, B. Self-similarity and spectral theory: on the spectrum of substitutions. (English) Zbl 07709461 St. Petersbg. Math. J. 34, No. 3, 313-346 (2023) and Algebra Anal. 34, No. 3, 5-50 (2023). MSC: 37B52 37B05 PDF BibTeX XML Cite \textit{A. I. Bufetov} and \textit{B. Solomyak}, St. Petersbg. Math. J. 34, No. 3, 313--346 (2023; Zbl 07709461) Full Text: DOI arXiv
Koivusalo, Henna; Walton, James J. Cut and project sets with polytopal window. II: Linear repetitivity. (English) Zbl 1491.52017 Trans. Am. Math. Soc. 375, No. 7, 5097-5149 (2022). MSC: 52C23 52C45 68U05 PDF BibTeX XML Cite \textit{H. Koivusalo} and \textit{J. J. Walton}, Trans. Am. Math. Soc. 375, No. 7, 5097--5149 (2022; Zbl 1491.52017) Full Text: DOI arXiv
Ammar, Hamdi; Cassaigne, Julien; Sellami, Tarek On the symmetric intersection of Rauzy fractals associated with the \(k\)-bonacci substitution. (English) Zbl 1466.28008 Quaest. Math. 44, No. 2, 199-216 (2021). MSC: 28A80 11B85 37B10 PDF BibTeX XML Cite \textit{H. Ammar} et al., Quaest. Math. 44, No. 2, 199--216 (2021; Zbl 1466.28008) Full Text: DOI
Scheicher, Klaus; Sirvent, Víctor F.; Surer, Paul Measure-wise disjoint Rauzy fractals with the same incidence matrix. (English) Zbl 1462.28011 Monatsh. Math. 194, No. 4, 857-871 (2021). Reviewer: Peter Massopust (München) MSC: 28A80 11B85 37B10 PDF BibTeX XML Cite \textit{K. Scheicher} et al., Monatsh. Math. 194, No. 4, 857--871 (2021; Zbl 1462.28011) Full Text: DOI
Mercat, Paul; Akiyama, Shigeki Yet another characterization of the Pisot substitution conjecture. (English) Zbl 1458.37015 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, 397-448 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B10 37B15 37B51 PDF BibTeX XML Cite \textit{P. Mercat} and \textit{S. Akiyama}, Lect. Notes Math. 2273, 397--448 (2020; Zbl 1458.37015) Full Text: DOI arXiv
Thuswaldner, Jörg M. \(S\)-adic sequences: a bridge between dynamics, arithmetic, and geometry. (English) Zbl 1457.37014 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, 97-191 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 37B10 37B52 37E15 52C22 28A80 PDF BibTeX XML Cite \textit{J. M. Thuswaldner}, Lect. Notes Math. 2273, 97--191 (2020; Zbl 1457.37014) Full Text: DOI arXiv
Frank, Natalie Priebe Introduction to hierarchical tiling dynamical systems. (English) Zbl 1459.37016 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, 33-95 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 37B52 37B10 52C23 PDF BibTeX XML Cite \textit{N. P. Frank}, Lect. Notes Math. 2273, 33--95 (2020; Zbl 1459.37016) Full Text: DOI arXiv
Fuhrmann, Gabriel; Gröger, Maik Constant length substitutions, iterated function systems and amorphic complexity. (English) Zbl 1453.37015 Math. Z. 295, No. 3-4, 1385-1404 (2020). Reviewer: Bilel Selmi (Monastir) MSC: 37B10 37B40 37C45 28A78 28A80 PDF BibTeX XML Cite \textit{G. Fuhrmann} and \textit{M. Gröger}, Math. Z. 295, No. 3--4, 1385--1404 (2020; Zbl 1453.37015) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris On ergodic averages for parabolic product flows. (Les moyennes ergodiques des produits cartésiens des flots paraboliques.) (English. French summary) Zbl 1414.37001 Bull. Soc. Math. Fr. 146, No. 4, 675-690 (2018). MSC: 37A30 37B10 PDF BibTeX XML Cite \textit{A. I. Bufetov} and \textit{B. Solomyak}, Bull. Soc. Math. Fr. 146, No. 4, 675--690 (2018; Zbl 1414.37001) Full Text: DOI arXiv
Barge, Marcy The Pisot conjecture for \(\beta\)-substitutions. (English) Zbl 1457.37025 Ergodic Theory Dyn. Syst. 38, No. 2, 444-472 (2018). MSC: 37B52 37B10 37A44 PDF BibTeX XML Cite \textit{M. Barge}, Ergodic Theory Dyn. Syst. 38, No. 2, 444--472 (2018; Zbl 1457.37025) Full Text: DOI arXiv
Sellami, Tarek; Sirvent, Víctor F. Symmetric intersections of Rauzy fractals. (English) Zbl 1423.28027 Quaest. Math. 39, No. 3, 289-305 (2016). MSC: 28A80 11B85 37B10 PDF BibTeX XML Cite \textit{T. Sellami} and \textit{V. F. Sirvent}, Quaest. Math. 39, No. 3, 289--305 (2016; Zbl 1423.28027) Full Text: DOI arXiv
Andress, Tetyana I.; Robinson, E. Arthur jun. The Čech cohomology and the spectrum for 1-dimensional tiling systems. (English) Zbl 1364.37044 Auslander, Joseph (ed.) et al., Ergodic theory, dynamical systems, and the continuing influence of John C. Oxtoby. Oxtoby centennial conference, Bryn Mawr College, Bryn Mawr, PA, USA, October 30–31, 2010. Williams ergodic theory conference, Williams College, Williamstown, MA, USA, July 27–29, 2012. AMS special session on ergodic theory and symbolic dynamics, Baltimore, MD, USA, January 17–18, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2299-8/pbk; 978-1-4704-3589-9/ebook). Contemporary Mathematics 678, 53-71 (2016). MSC: 37B50 37A30 55N05 PDF BibTeX XML Cite \textit{T. I. Andress} and \textit{E. A. Robinson jun.}, Contemp. Math. 678, 53--71 (2016; Zbl 1364.37044) Full Text: DOI
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne A combinatorial approach to products of Pisot substitutions. (English) Zbl 1378.37036 Ergodic Theory Dyn. Syst. 36, No. 6, 1757-1794 (2016). MSC: 37B50 37B10 28A80 37A45 11K16 52C22 PDF BibTeX XML Cite \textit{V. Berthé} et al., Ergodic Theory Dyn. Syst. 36, No. 6, 1757--1794 (2016; Zbl 1378.37036) Full Text: DOI arXiv
Akiyama, Shigeki Strong coincidence and overlap coincidence. (English) Zbl 1351.52025 Discrete Contin. Dyn. Syst. 36, No. 10, 5223-5230 (2016). MSC: 52C23 37B50 11K16 PDF BibTeX XML Cite \textit{S. Akiyama}, Discrete Contin. Dyn. Syst. 36, No. 10, 5223--5230 (2016; Zbl 1351.52025) Full Text: DOI arXiv
Scheicher, Klaus; Sirvent, Víctor F.; Surer, Paul Symmetric and congruent Rauzy fractals. (English) Zbl 1362.28013 Indag. Math., New Ser. 27, No. 3, 799-820 (2016). Reviewer: Manuel Fernández Martínez (Santiago de la Ribera) MSC: 28A80 PDF BibTeX XML Cite \textit{K. Scheicher} et al., Indag. Math., New Ser. 27, No. 3, 799--820 (2016; Zbl 1362.28013) Full Text: DOI
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 PDF BibTeX XML Cite \textit{V. Berthé} et al., Topology Appl. 205, 47--57 (2016; Zbl 1368.37020) Full Text: DOI arXiv
Barge, Marcy Pure discrete spectrum for a class of one-dimensional substitution tiling systems. (English) Zbl 1338.37014 Discrete Contin. Dyn. Syst. 36, No. 3, 1159-1173 (2016). MSC: 37B05 37B50 11A55 PDF BibTeX XML Cite \textit{M. Barge}, Discrete Contin. Dyn. Syst. 36, No. 3, 1159--1173 (2016; Zbl 1338.37014) Full Text: DOI arXiv
Arnoux, Pierre; Mizutani, Masahiro; Sellami, Tarek Random product of substitutions with the same incidence matrix. (English) Zbl 1418.37021 Theor. Comput. Sci. 543, 68-78 (2014). MSC: 37B10 PDF BibTeX XML Cite \textit{P. Arnoux} et al., Theor. Comput. Sci. 543, 68--78 (2014; Zbl 1418.37021) Full Text: DOI arXiv
Rao, Hui; Wen, Zhi-Ying; Yang, Ya-Min Dual systems of algebraic iterated function systems. (English) Zbl 1294.28011 Adv. Math. 253, 63-85 (2014). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 PDF BibTeX XML Cite \textit{H. Rao} et al., Adv. Math. 253, 63--85 (2014; Zbl 1294.28011) Full Text: DOI
Akiyama, Shigeki; Lee, Jeong-Yup Overlap coincidence to strong coincidence in substitution tiling dynamics. (English) Zbl 1348.37027 Eur. J. Comb. 39, 233-243 (2014). MSC: 37B50 52C22 54H20 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{J.-Y. Lee}, Eur. J. Comb. 39, 233--243 (2014; Zbl 1348.37027) Full Text: DOI arXiv
Barge, Marcy; Zamboni, Luca Q. Central sets and substitutive dynamical systems. (English) Zbl 1339.37011 Adv. Math. 248, 308-323 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37B10 05D10 11A63 68R15 37B50 PDF BibTeX XML Cite \textit{M. Barge} and \textit{L. Q. Zamboni}, Adv. Math. 248, 308--323 (2013; Zbl 1339.37011) Full Text: DOI arXiv
Bucci, Michelangelo; De Luca, Alessandro; Zamboni, Luca Q. Reversible Christoffel factorizations. (English) Zbl 1294.68115 Theor. Comput. Sci. 495, 17-24 (2013). MSC: 68R15 PDF BibTeX XML Cite \textit{M. Bucci} et al., Theor. Comput. Sci. 495, 17--24 (2013; Zbl 1294.68115) Full Text: DOI arXiv
Barge, Marcy; Bruin, Henk; Jones, Leslie; Sadun, Lorenzo Homological Pisot substitutions and exact regularity. (English) Zbl 1257.37010 Isr. J. Math. 188, 281-300 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 37A45 37B50 37A30 PDF BibTeX XML Cite \textit{M. Barge} et al., Isr. J. Math. 188, 281--300 (2012; Zbl 1257.37010) Full Text: DOI arXiv Link
Berthé, Valérie; Frettlöh, Dirk; Sirvent, Victor Selfdual substitutions in dimension one. (English) Zbl 1252.68164 Eur. J. Comb. 33, No. 6, 981-1000 (2012). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 68Q45 68R15 05B45 37B50 PDF BibTeX XML Cite \textit{V. Berthé} et al., Eur. J. Comb. 33, No. 6, 981--1000 (2012; Zbl 1252.68164) Full Text: DOI arXiv
Akiyama, Shigeki; Kwon, Do Yong Constructions of Pisot and Salem numbers with flat palindromes. (English) Zbl 1178.11069 Monatsh. Math. 155, No. 3-4, 265-275 (2008). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 30C15 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{D. Y. Kwon}, Monatsh. Math. 155, No. 3--4, 265--275 (2008; Zbl 1178.11069) Full Text: DOI
Lee, Jeong-Yup Substitution Delone sets with pure point spectrum are inter-model sets. (English) Zbl 1132.52022 J. Geom. Phys. 57, No. 11, 2263-2285 (2007). MSC: 52C23 37B50 PDF BibTeX XML Cite \textit{J.-Y. Lee}, J. Geom. Phys. 57, No. 11, 2263--2285 (2007; Zbl 1132.52022) Full Text: DOI arXiv
Berthé, Valérie; Ei, Hiromi; Ito, Shunji; Rao, Hui On substitution invariant Sturmian words: an application of Rauzy fractals. (English) Zbl 1140.11014 Theor. Inform. Appl. 41, No. 3, 329-349 (2007). Reviewer: Francine Blanchet-Sadri (Greensboro) MSC: 11B85 11J70 37B10 68R15 PDF BibTeX XML Cite \textit{V. Berthé} et al., Theor. Inform. Appl. 41, No. 3, 329--349 (2007; Zbl 1140.11014) Full Text: DOI Numdam EuDML
Ito, Shunji; Rao, H. Atomic surfaces, tilings and coincidence. I: Irreducible case. (English) Zbl 1143.37013 Isr. J. Math. 153, 129-155 (2006). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 37B50 52C22 PDF BibTeX XML Cite \textit{S. Ito} and \textit{H. Rao}, Isr. J. Math. 153, 129--155 (2006; Zbl 1143.37013) Full Text: DOI
Ei, Hiromi; Ito, Shunji; Rao, Hui Atomic surfaces, tilings and coincidences. II: Reducible case. (English) Zbl 1119.52013 Ann. Inst. Fourier 56, No. 7, 2285-2313 (2006). MSC: 52C23 37A45 28A80 11B85 PDF BibTeX XML Cite \textit{H. Ei} et al., Ann. Inst. Fourier 56, No. 7, 2285--2313 (2006; Zbl 1119.52013) Full Text: DOI Numdam Numdam EuDML
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne Fractal representation of the attractive lamination of an automorphism of the free group. (English) Zbl 1146.20020 Ann. Inst. Fourier 56, No. 7, 2161-2212 (2006). Reviewer: Dimitrios Varsos (Athenai) MSC: 20E05 37B10 20E36 05B45 68R15 57M07 PDF BibTeX XML Cite \textit{P. Arnoux} et al., Ann. Inst. Fourier 56, No. 7, 2161--2212 (2006; Zbl 1146.20020) Full Text: DOI Numdam Numdam EuDML
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 PDF BibTeX XML Cite \textit{G. Barat} et al., Ann. Inst. Fourier 56, No. 7, 1987--2092 (2006; Zbl 1138.37005) Full Text: DOI Numdam EuDML
Thuswaldner, Jörg M. Unimodular Pisot substitutions and their associated tiles. (English) Zbl 1161.37016 J. Théor. Nombres Bordx. 18, No. 2, 487-536 (2006). Reviewer: Takao Komatsu (Hirosaki) MSC: 37B10 11B85 11K55 28A80 52C22 PDF BibTeX XML Cite \textit{J. M. Thuswaldner}, J. Théor. Nombres Bordx. 18, No. 2, 487--536 (2006; Zbl 1161.37016) Full Text: DOI Numdam Numdam EuDML
Siegel, Anne Pure discrete spectrum dynamical system and periodic tiling associated with a substitution. (English) Zbl 1083.37009 Ann. Inst. Fourier 54, No. 2, 341-381 (2004). Reviewer: Laurent Vuillon (Le Bourget du Lac) MSC: 37B10 52C22 47A35 28A80 PDF BibTeX XML Cite \textit{A. Siegel}, Ann. Inst. Fourier 54, No. 2, 341--381 (2004; Zbl 1083.37009) Full Text: DOI Numdam EuDML