Nagai, Yasushi; Akiyama, Shigeki; Lee, Jeong-Yup On arithmetic progressions in non-periodic self-affine tilings. (English) Zbl 1503.37036 Ergodic Theory Dyn. Syst. 42, No. 9, 2957-2989 (2022). MSC: 37B52 52C23 PDFBibTeX XMLCite \textit{Y. Nagai} et al., Ergodic Theory Dyn. Syst. 42, No. 9, 2957--2989 (2022; Zbl 1503.37036) Full Text: DOI arXiv
Fernandez, Bastien; Sélley, Fanni M. Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps. (English) Zbl 1502.37004 Nonlinearity 35, No. 8, 3991-4042 (2022). MSC: 37A05 37A25 37D20 51M20 52B10 52B11 PDFBibTeX XMLCite \textit{B. Fernandez} and \textit{F. M. Sélley}, Nonlinearity 35, No. 8, 3991--4042 (2022; Zbl 1502.37004) Full Text: DOI arXiv
Hubert, Pascal; Paris-Romaskevich, Olga Triangle tiling billiards and the exceptional family of their escaping trajectories: circumcenters and Rauzy gasket. (English) Zbl 1500.37023 Exp. Math. 31, No. 1, 58-87 (2022). Reviewer: Christian Richter (Jena) MSC: 37C83 37B52 37E05 52C20 PDFBibTeX XMLCite \textit{P. Hubert} and \textit{O. Paris-Romaskevich}, Exp. Math. 31, No. 1, 58--87 (2022; Zbl 1500.37023) Full Text: DOI arXiv
Labbé, Sébastien Markov partitions for toral \(\mathbb{Z}^2\)-rotations featuring Jeandel-Rao Wang shift and model sets. (Partitions de Markov pour \(\mathbb{Z}^2\)-rotations faisant intervenir le sous-décalage de Jeandel-Rao et les ensembles modèles.) (English. French summary) Zbl 1492.37022 Ann. Henri Lebesgue 4, 283-324 (2021). MSC: 37B51 37B10 52C23 28D05 37B05 PDFBibTeX XMLCite \textit{S. Labbé}, Ann. Henri Lebesgue 4, 283--324 (2021; Zbl 1492.37022) Full Text: DOI arXiv
Molchanov, Ilya; Turin, Riccardo Convex bodies generated by sublinear expectations of random vectors. (English) Zbl 1479.52011 Adv. Appl. Math. 131, Article ID 102251, 31 p. (2021). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A22 60D05 52A27 62G30 91G70 PDFBibTeX XMLCite \textit{I. Molchanov} and \textit{R. Turin}, Adv. Appl. Math. 131, Article ID 102251, 31 p. (2021; Zbl 1479.52011) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{N. P. Frank}, Lect. Notes Math. 2273, 33--95 (2020; Zbl 1459.37016) Full Text: DOI arXiv
Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. The dynamics of super-Apollonian continued fractions. (English) Zbl 1436.11011 Trans. Am. Math. Soc. 372, No. 4, 2287-2334 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A55 11J70 11E20 37A44 37F31 52C26 PDFBibTeX XMLCite \textit{S. Chaubey} et al., Trans. Am. Math. Soc. 372, No. 4, 2287--2334 (2019; Zbl 1436.11011) Full Text: DOI arXiv
Spindeler, Timo; Strungaru, Nicolae A note on measures vanishing at infinity. (English) Zbl 1420.43003 Rev. Math. Phys. 31, No. 2, Article ID 1950007, 22 p. (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 43A25 52C23 PDFBibTeX XMLCite \textit{T. Spindeler} and \textit{N. Strungaru}, Rev. Math. Phys. 31, No. 2, Article ID 1950007, 22 p. (2019; Zbl 1420.43003) Full Text: DOI arXiv
Shutov, Anton; Maleev, Andrey Coordination numbers of the vertex graph of a Penrose tiling. (English) Zbl 1444.82038 Acta Crystallogr., Sect. A 74, No. 2, 112-122 (2018). MSC: 82D25 52C22 PDFBibTeX XMLCite \textit{A. Shutov} and \textit{A. Maleev}, Acta Crystallogr., Sect. A 74, No. 2, 112--122 (2018; Zbl 1444.82038) Full Text: DOI
Baake, Michael; Roberts, John A. G.; Yassawi, Reem Reversing and extended symmetries of shift spaces. (English) Zbl 1377.37027 Discrete Contin. Dyn. Syst. 38, No. 2, 835-866 (2018). MSC: 37B50 37B10 52C23 20B27 20H05 PDFBibTeX XMLCite \textit{M. Baake} et al., Discrete Contin. Dyn. Syst. 38, No. 2, 835--866 (2018; Zbl 1377.37027) Full Text: DOI arXiv
Boshernitzan, Michael; Delecroix, Vincent From a packing problem to quantitative recurrence in \([0,1]\) and the Lagrange spectrum of interval exchanges. (English) Zbl 1404.37042 Discrete Anal. 2017, Paper No. 10, 25 p. (2017). MSC: 37E05 52C15 37A45 37B20 PDFBibTeX XMLCite \textit{M. Boshernitzan} and \textit{V. Delecroix}, Discrete Anal. 2017, Paper No. 10, 25 p. (2017; Zbl 1404.37042) Full Text: DOI arXiv
Son, Younghwan Substitutions, tiling dynamical systems and minimal self-joinings. (English) Zbl 1351.37074 Discrete Contin. Dyn. Syst. 34, No. 11, 4855-4874 (2014). MSC: 37B50 37A25 37B10 52C23 PDFBibTeX XMLCite \textit{Y. Son}, Discrete Contin. Dyn. Syst. 34, No. 11, 4855--4874 (2014; Zbl 1351.37074) Full Text: DOI arXiv
Frank, Natalie Priebe; Sadun, Lorenzo Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\). (English) Zbl 1305.37010 Geom. Dedicata 171, 149-186 (2014). Reviewer: Laurent Bartholdi (Göttingen) MSC: 37B50 52C23 37A25 37B10 PDFBibTeX XMLCite \textit{N. P. Frank} and \textit{L. Sadun}, Geom. Dedicata 171, 149--186 (2014; Zbl 1305.37010) Full Text: DOI arXiv
Bollobás, Béla; Riordan, Oliver The critical probability for random Voronoi percolation in the plane is 1/2. (English) Zbl 1100.60054 Probab. Theory Relat. Fields 136, No. 3, 417-468 (2006). MSC: 60K35 60K37 52C99 60C05 82B43 PDFBibTeX XMLCite \textit{B. Bollobás} and \textit{O. Riordan}, Probab. Theory Relat. Fields 136, No. 3, 417--468 (2006; Zbl 1100.60054) Full Text: DOI arXiv
Berthé, Valérie; Tijdeman, Robert Lattices and multi-dimensional words. (English) Zbl 1068.37005 Theor. Comput. Sci. 319, No. 1-3, 177-202 (2004). MSC: 37B10 68R15 05B45 11H06 37B50 52C22 PDFBibTeX XMLCite \textit{V. Berthé} and \textit{R. Tijdeman}, Theor. Comput. Sci. 319, No. 1--3, 177--202 (2004; Zbl 1068.37005) Full Text: DOI
Gröchenig, Karlheinz; Haas, Andrew; Raugi, Albert Self-affine tilings with several tiles. I. (English) Zbl 1008.52019 Appl. Comput. Harmon. Anal. 7, No. 2, 211-238 (1999). Reviewer: Mihail Kolountzakis (Crete) MSC: 52C22 42C40 PDFBibTeX XMLCite \textit{K. Gröchenig} et al., Appl. Comput. Harmon. Anal. 7, No. 2, 211--238 (1999; Zbl 1008.52019)
Kenyon, Richard A group of paths in \(\mathbb{R}^2\). (English) Zbl 0896.52024 Trans. Am. Math. Soc. 348, No. 8, 3155-3172 (1996). MSC: 52C20 20E08 20E06 20F34 05B45 PDFBibTeX XMLCite \textit{R. Kenyon}, Trans. Am. Math. Soc. 348, No. 8, 3155--3172 (1996; Zbl 0896.52024) Full Text: DOI
Gutkin, Eugene; Haydn, Nicolai Topological entropy of generalized polygon exchanges. (English) Zbl 0879.54023 Bull. Am. Math. Soc., New Ser. 32, No. 1, 50-56 (1995). MSC: 54C70 28D20 37A99 52B99 PDFBibTeX XMLCite \textit{E. Gutkin} and \textit{N. Haydn}, Bull. Am. Math. Soc., New Ser. 32, No. 1, 50--56 (1995; Zbl 0879.54023) Full Text: DOI arXiv
Berend, Daniel; Radin, Charles Are there chaotic tilings! (English) Zbl 0790.28011 Commun. Math. Phys. 152, No. 2, 215-219 (1993). Reviewer: J.-P.Allouche (Marseille) MSC: 28D05 52C22 82B99 05B45 11B85 PDFBibTeX XMLCite \textit{D. Berend} and \textit{C. Radin}, Commun. Math. Phys. 152, No. 2, 215--219 (1993; Zbl 0790.28011) Full Text: DOI
Radin, Charles Global order from local sources. (English) Zbl 0808.52020 Bull. Am. Math. Soc., New Ser. 25, No. 2, 335-364 (1991). MSC: 52C17 52C20 82B05 37J40 82D25 PDFBibTeX XMLCite \textit{C. Radin}, Bull. Am. Math. Soc., New Ser. 25, No. 2, 335--364 (1991; Zbl 0808.52020) Full Text: DOI