Kala, Vítězslav; Zindulka, Mikuláš Partitions into powers of an algebraic number. (English) Zbl 07846623 Ramanujan J. 64, No. 2, 537-551 (2024). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11P81 11P84 11R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yun; Li, Bing; Ding, Yiming Fiber denseness of intermediate \(\beta\)-shifts of finite type. (English) Zbl 1530.37061 Nonlinearity 36, No. 11, 5973-5997 (2023). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37B10 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Langeveld, N.; Samuel, T. Intermediate \(\beta\)-shifts as greedy \(\beta\)-shifts with a hole. (English) Zbl 1538.11143 Acta Math. Hung. 170, No. 1, 269-301 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11A63 68R15 26A30 28D05 37B10 37E05 37E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yao-Qiang Bifurcations of digit frequencies in unique expansions. (English) Zbl 1523.11010 J. Number Theory 248, 420-446 (2023). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Alcaraz Barrera, Rafael On the specification property and synchronization of unique \(q\)-expansions. (English) Zbl 1477.37019 Ergodic Theory Dyn. Syst. 41, No. 9, 2659-2705 (2021). MSC: 37B10 37B51 37B05 11A63 37B40 37C45 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Y.-Q. Expansions in multiple bases. (English) Zbl 1474.11026 Acta Math. Hung. 163, No. 2, 576-600 (2021). Reviewer: Jean-Paul Allouche (Paris) MSC: 11A63 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Surer, Paul Representations for complex numbers with integer digits. (English) Zbl 1471.11019 Res. Number Theory 6, No. 4, Paper No. 47, 24 p. (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11A63 11B85 11R06 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Surer, Paul Substitutive number systems. (English) Zbl 1473.11019 Int. J. Number Theory 16, No. 8, 1709-1751 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11A63 37B10 68R15 11R06 × Cite Format Result Cite Review PDF Full Text: DOI
Kalle, Charlene; Langeveld, Niels; Maggioni, Marta; Munday, Sara Matching for a family of infinite measure continued fraction transformations. (English) Zbl 1452.11096 Discrete Contin. Dyn. Syst. 40, No. 11, 6309-6330 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 37A05 37A35 37A40 11A55 28D05 37E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Bing; Sahlsten, Tuomas; Samuel, Tony; Steiner, Wolfgang Denseness of intermediate \(\beta\)-shifts of finite-type. (English) Zbl 1442.37027 Proc. Am. Math. Soc. 147, No. 5, 2045-2055 (2019). MSC: 37B10 37B51 11A67 11R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hejda, Tomáš Multiple tilings associated to \(d\)-Bonacci beta-expansions. (English) Zbl 1445.11005 Monatsh. Math. 187, No. 2, 275-291 (2018). MSC: 11A63 11R06 37B10 52C23 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baker, S.; Masáková, Z.; Pelantová, E.; Vávra, T. On periodic representations in non-Pisot bases. (English) Zbl 1396.11010 Monatsh. Math. 184, No. 1, 1-19 (2017). MSC: 11A63 11K16 11R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bruin, Henk; Carminati, Carlo; Kalle, Charlene Matching for generalised \(\beta\)-transformations. (English) Zbl 1360.37096 Indag. Math., New Ser. 28, No. 1, 55-73 (2017). Reviewer: Christoph Aistleitner (Graz) MSC: 37E05 11K16 11K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scheicher, K.; Sirvent, V. F.; Surer, P. Dynamical properties of the tent map. (English) Zbl 1360.37041 J. Lond. Math. Soc., II. Ser. 93, No. 2, 319-340 (2016). Reviewer: Steve Pederson (Atlanta) MSC: 37B10 11B85 68R15 37E05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Bing; Sahlsten, Tuomas; Samuel, Tony Intermediate \(\beta\)-shifts of finite type. (English) Zbl 1371.37023 Discrete Contin. Dyn. Syst. 36, No. 1, 323-344 (2016). MSC: 37B50 37B05 37B10 11A67 11R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steiner, Wolfgang; Thuswaldner, Jörg M. Rational self-affine tiles. (English) Zbl 1329.52019 Trans. Am. Math. Soc. 367, No. 11, 7863-7894 (2015). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52C22 11A63 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Zhi Ying; Yang, Ya Min Periodic codings of algebraic graph-directed IFS. (English) Zbl 1314.28006 Sci. China, Math. 58, No. 1, 131-142 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Barnsley, Michael; Steiner, Wolfgang; Vince, Andrew Critical itineraries of maps with constant slope and one discontinuity. (English) Zbl 1376.37031 Math. Proc. Camb. Philos. Soc. 157, No. 3, 547-465 (2014). MSC: 37B10 26A18 37B15 × Cite Format Result Cite Review PDF Full Text: DOI
Minervino, Milton; Thuswaldner, Jörg The geometry of non-unit Pisot substitutions. (Géométrie des substitutions de type Pisot non unimodulaires.) (English. French summary) Zbl 1309.05045 Ann. Inst. Fourier 64, No. 4, 1373-1417 (2014). Reviewer: Thomas B. Ward (Durham) MSC: 05B45 11A63 11F85 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruin, Henk; Kalle, Charlene Natural extensions for piecewise affine maps via Hofbauer towers. (English) Zbl 1306.37005 Monatsh. Math. 175, No. 1, 65-88 (2014). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A05 37B10 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minervino, Milton; Steiner, Wolfgang Tilings for Pisot beta numeration. (English) Zbl 1293.11084 Indag. Math., New Ser. 25, No. 4, 745-773 (2014). MSC: 11K16 11K55 28A80 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Baker, S. On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions. (English) Zbl 1299.11052 Acta Math. Hung. 142, No. 1, 95-109 (2014). Reviewer: Christoph Aistleitner (Rokko, Kobe) MSC: 11K16 37A45 28A78 37C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hejda, Tomáš; Masáková, Zuzana; Pelantová, Edita Greedy and lazy representations in negative base systems. (English) Zbl 1275.11020 Kybernetika 49, No. 2, 258-279 (2013). MSC: 11A67 37B10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ambrož, Petr; Dombek, Daniel; Masáková, Zuzana; Pelantová, Edita Numbers with integer expansion in the numeration system with negative base. (English) Zbl 1271.11009 Funct. Approximatio, Comment. Math. 47, No. 2, 241-266 (2012). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 11A63 11K16 37B10 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Steiner, Wolfgang On the structure of \((-\beta )\)-integers. (English) Zbl 1319.11006 RAIRO, Theor. Inform. Appl. 46, No. 1, 181-200 (2012). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11A63 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML HAL
Dombek, D.; Masáková, Z.; Pelantová, E. Number representation using generalized \((-\beta )\)-transformation. (English) Zbl 1270.11007 Theor. Comput. Sci. 412, No. 48, 6653-6665 (2011). Reviewer: Wolfgang A. Schmid (Palaiseau) MSC: 11A63 × Cite Format Result Cite Review PDF Full Text: DOI
Masáková, Z.; Vávra, T. Arithmetics in numeration systems with negative quadratic base. (English) Zbl 1227.11033 Kybernetika 47, No. 1, 74-92 (2011). MSC: 11A63 11K16 11R06 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M. Fractal tiles associated with shift radix systems. (English) Zbl 1221.11018 Adv. Math. 226, No. 1, 139-175 (2011). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 11A63 28A80 52C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License