Bezuglyi, Sergey; Jorgensen, Palle E. T.; Sanadhya, Shrey Substitution-dynamics and invariant measures for infinite alphabet-path space. (English) Zbl 07822016 Adv. Appl. Math. 156, Article ID 102687, 39 p. (2024). MSC: 37B10 37A05 37B05 37A40 54H05 05C60 PDFBibTeX XMLCite \textit{S. Bezuglyi} et al., Adv. Appl. Math. 156, Article ID 102687, 39 p. (2024; Zbl 07822016) Full Text: DOI arXiv
Kerr, David (ed.); Tserunyan, Anush (ed.); Tucker-Drob, Robin D. (ed.) Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16–22, 2022. (English) Zbl 1506.00085 Oberwolfach Rep. 19, No. 1, 107-169 (2022). MSC: 00B05 00B25 37-06 20-06 28-06 03E15 20Cxx 20Exx 20Fxx 28A05 28Dxx 37Axx 37Bxx 54H05 60Bxx PDFBibTeX XMLCite \textit{D. Kerr} (ed.) et al., Oberwolfach Rep. 19, No. 1, 107--169 (2022; Zbl 1506.00085) Full Text: DOI
Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg Topology of planar self-affine tiles with collinear digit set. (English) Zbl 1470.28005 J. Fractal Geom. 8, No. 1, 53-93 (2021). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 52C20 54D05 PDFBibTeX XMLCite \textit{S. Akiyama} et al., J. Fractal Geom. 8, No. 1, 53--93 (2021; Zbl 1470.28005) Full Text: DOI arXiv
Strobin, Filip; Swaczyna, Jaroslaw Connectedness of attractors of a certain family of IFSs. (English) Zbl 1458.28005 J. Fractal Geom. 7, No. 3, 219-231 (2020). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 37C25 37C70 54E52 PDFBibTeX XMLCite \textit{F. Strobin} and \textit{J. Swaczyna}, J. Fractal Geom. 7, No. 3, 219--231 (2020; Zbl 1458.28005) Full Text: DOI arXiv
Kátay, Tamás The intersection of typical Besicovitch sets with lines. (English) Zbl 1445.28004 Real Anal. Exch. 45, No. 2, 453-464 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A78 54E52 PDFBibTeX XMLCite \textit{T. Kátay}, Real Anal. Exch. 45, No. 2, 453--464 (2020; Zbl 1445.28004) Full Text: arXiv Euclid
Durand, Fabien; Frank, Alexander; Maass, Alejandro Eigenvalues of minimal Cantor systems. (English) Zbl 1416.54018 J. Eur. Math. Soc. (JEMS) 21, No. 3, 727-775 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 54H20 37B20 PDFBibTeX XMLCite \textit{F. Durand} et al., J. Eur. Math. Soc. (JEMS) 21, No. 3, 727--775 (2019; Zbl 1416.54018) Full Text: DOI arXiv
Shimomura, Takashi Rank 2 proximal Cantor systems are residually scrambled. (English) Zbl 1387.37014 Dyn. Syst. 33, No. 2, 275-302 (2018). MSC: 37B05 37B10 54H20 PDFBibTeX XMLCite \textit{T. Shimomura}, Dyn. Syst. 33, No. 2, 275--302 (2018; Zbl 1387.37014) Full Text: DOI
Maloney, Gregory R.; Rust, Dan Beyond primitivity for one-dimensional substitution subshifts and tiling spaces. (English) Zbl 1396.37023 Ergodic Theory Dyn. Syst. 38, No. 3, 1086-1117 (2018). Reviewer: Antonio Linero Bas (Murcia) MSC: 37B50 37B10 54H20 55N05 PDFBibTeX XMLCite \textit{G. R. Maloney} and \textit{D. Rust}, Ergodic Theory Dyn. Syst. 38, No. 3, 1086--1117 (2018; Zbl 1396.37023) Full Text: DOI arXiv Link
Baake, Michael (ed.); Damanik, David (ed.); Kellendonk, Johannes (ed.); Lenz, Daniel (ed.) Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1–7, 2017. (English) Zbl 1409.00064 Oberwolfach Rep. 14, No. 4, 2781-2845 (2017). MSC: 00B05 00B25 52C23 11K70 28D15 37B50 54H20 60B05 60G55 81Q10 52-06 11-06 PDFBibTeX XMLCite \textit{M. Baake} (ed.) et al., Oberwolfach Rep. 14, No. 4, 2781--2845 (2017; Zbl 1409.00064) Full Text: DOI
Shimomura, Takashi Topological rank does not increase by natural extension of Cantor minimals. (English) Zbl 1387.37013 Kyushu J. Math. 71, No. 2, 299-309 (2017). MSC: 37B05 37B10 54H20 PDFBibTeX XMLCite \textit{T. Shimomura}, Kyushu J. Math. 71, No. 2, 299--309 (2017; Zbl 1387.37013) Full Text: DOI arXiv
Yang, Jiaojiao; Käenmäki, Antti; Wu, Min A note on correlation and local dimensions. (English) Zbl 1380.28001 Chaos Solitons Fractals 97, 39-43 (2017). MSC: 28A12 54E35 PDFBibTeX XMLCite \textit{J. Yang} et al., Chaos Solitons Fractals 97, 39--43 (2017; Zbl 1380.28001) Full Text: DOI arXiv
Hirshberg, Ilan; Szabó, Gábor; Winter, Wilhelm; Wu, Jianchao Rokhlin dimension for flows. (English) Zbl 1383.46051 Commun. Math. Phys. 353, No. 1, 253-316 (2017). Reviewer: Eusebio Gardella (Münster) MSC: 46L55 54H20 PDFBibTeX XMLCite \textit{I. Hirshberg} et al., Commun. Math. Phys. 353, No. 1, 253--316 (2017; Zbl 1383.46051) Full Text: DOI arXiv Link
Abram, William C.; Lagarias, Jeffrey C. Path sets in one-sided symbolic dynamics. (English) Zbl 1347.37027 Adv. Appl. Math. 56, 109-134 (2014). MSC: 37B10 28A80 54H20 37B40 PDFBibTeX XMLCite \textit{W. C. Abram} and \textit{J. C. Lagarias}, Adv. Appl. Math. 56, 109--134 (2014; Zbl 1347.37027) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Akiyama} and \textit{J.-Y. Lee}, Eur. J. Comb. 39, 233--243 (2014; Zbl 1348.37027) Full Text: DOI arXiv
Myjak, Józef Some new concepts of dimension. (English) Zbl 1211.26002 Staicu, Vasile (ed.), Differential equations, chaos and variational problems. Papers from the conference “Views on ODE’s”, Aveiro, Portugal, June 2006. Basel: Birkhäuser (ISBN 978-3-7643-8481-4/hbk). Progress in Nonlinear Differential Equations and Their Applications 75, 317-344 (2008). Reviewer: José-Manuel Rey (Madrid) MSC: 26A21 26E25 28A33 54E52 60J05 28A80 28A78 PDFBibTeX XMLCite \textit{J. Myjak}, Prog. Nonlinear Differ. Equ. Appl. 75, 317--344 (2008; Zbl 1211.26002) Full Text: DOI
Barge, Marcy; Diamond, Beverly Cohomology in one-dimensional substitution tiling spaces. (English) Zbl 1139.37002 Proc. Am. Math. Soc. 136, No. 6, 2183-2191 (2008). MSC: 37B05 37A30 37B50 54H20 PDFBibTeX XMLCite \textit{M. Barge} and \textit{B. Diamond}, Proc. Am. Math. Soc. 136, No. 6, 2183--2191 (2008; Zbl 1139.37002) Full Text: DOI arXiv
He, Xing-Gang; Wen, Zhi-Ying The self-similarity structure on infinite intervals. (English) Zbl 1154.28300 J. Math. Anal. Appl. 329, No. 2, 1094-1101 (2007). MSC: 28A80 54E40 PDFBibTeX XMLCite \textit{X.-G. He} and \textit{Z.-Y. Wen}, J. Math. Anal. Appl. 329, No. 2, 1094--1101 (2007; Zbl 1154.28300) Full Text: DOI
Cagnard, Benoit; Simonnet, Pierre Automata, Borel functions and real numbers in Pisot base. (English) Zbl 1156.03036 Theor. Inform. Appl. 41, No. 1, 27-44 (2007). Reviewer: Aleksej Dmitrievich Korshunov (Novosibirsk) MSC: 03D05 03E15 68Q45 54H05 PDFBibTeX XMLCite \textit{B. Cagnard} and \textit{P. Simonnet}, Theor. Inform. Appl. 41, No. 1, 27--44 (2007; Zbl 1156.03036) Full Text: DOI Numdam EuDML Link
Feng, De-Jun The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers. (English) Zbl 1078.11062 Adv. Math. 195, No. 1, 24-101 (2005). Reviewer: Tian You Hu (Green Bay) MSC: 11R06 11K55 28A78 28D20 54C30 28A80 37A45 PDFBibTeX XMLCite \textit{D.-J. Feng}, Adv. Math. 195, No. 1, 24--101 (2005; Zbl 1078.11062) Full Text: DOI
Akiyama, Shigeki; Thuswaldner, Jörg M. A survey on topological properties of tiles related to number systems. (English) Zbl 1073.37017 Geom. Dedicata 109, 89-105 (2004). MSC: 37B50 11A63 54D05 11K55 28A80 37A45 PDFBibTeX XMLCite \textit{S. Akiyama} and \textit{J. M. Thuswaldner}, Geom. Dedicata 109, 89--105 (2004; Zbl 1073.37017) Full Text: DOI
Kraft, Roger L. Random intersections of thick Cantor sets. (English) Zbl 0941.28007 Trans. Am. Math. Soc. 352, No. 3, 1315-1328 (2000). Reviewer: Yimin Xiao (Redmond) MSC: 28A80 54F50 37C45 PDFBibTeX XMLCite \textit{R. L. Kraft}, Trans. Am. Math. Soc. 352, No. 3, 1315--1328 (2000; Zbl 0941.28007) Full Text: DOI
Flatto, Leopold; Lagarias, Jeffrey C. The lap-counting function for linear mod one transformations. I: Explicit formulas and renormalizability. (English) Zbl 0865.58016 Ergodic Theory Dyn. Syst. 16, No. 3, 451-491 (1996). Reviewer: S.Nenov (Sofia) MSC: 37E05 54H20 37E20 37C30 37B40 37C25 PDFBibTeX XMLCite \textit{L. Flatto} and \textit{J. C. Lagarias}, Ergodic Theory Dyn. Syst. 16, No. 3, 451--491 (1996; Zbl 0865.58016) Full Text: DOI