Gabel, Fabian; Gallaun, Dennis; Großmann, Julian; Lindner, Marko; Ukena, Riko Finite section method for aperiodic Schrödinger operators. (English) Zbl 1533.65076 Oper. Matrices 17, No. 2, 393-433 (2023). MSC: 65J10 47B36 47N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbieri, Sebastián; Labbé, Sébastien; Starosta, Štěpán A characterization of Sturmian sequences by indistinguishable asymptotic pairs. (English) Zbl 1478.68268 Eur. J. Comb. 95, Article ID 103318, 22 p. (2021). Reviewer: Jean-Paul Allouche (Paris) MSC: 68R15 11B85 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peltomäki, Jarkko Abelian periods of factors of Sturmian words. (English) Zbl 1458.68152 J. Number Theory 214, 251-285 (2020). Reviewer: Jean-Paul Allouche (Paris) MSC: 68R15 11B85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammar, Hamdi; Sellami, Tarek Arnoux-Rauzy substitutions and Palindrome words. (English) Zbl 1464.37017 Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1865-1873 (2019). MSC: 37B10 05A05 03D40 08A50 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Nakamura, Fumihiko Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise. (English) Zbl 1407.37084 Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2457-2473 (2018). MSC: 37H20 37G15 37A30 37E05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yuke; Wen, Zhiying The sequence of return words of the Fibonacci sequence. (English) Zbl 1330.68236 Theor. Comput. Sci. 593, 106-116 (2015). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hejda, Tomáš Morphisms preserving the set of words coding three interval exchange. (English) Zbl 1247.68207 RAIRO, Theor. Inform. Appl. 46, No. 1, 107-122 (2012). MSC: 68R15 08A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Chernyatiev, A. L. Balanced words and dynamical systems. (English. Russian original) Zbl 1177.05009 J. Math. Sci., New York 156, No. 2, 351-358 (2009); translation from Fundam. Prikl. Mat. 13, No. 5, 213-224 (2007). MSC: 05A05 37E10 37E15 68Q45 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Litman, Ami; Moran-Schein, Shiri On smooth sets of integers. (English) Zbl 1250.11073 Discrete Math. 309, No. 4, 797-813 (2009). MSC: 11K36 11K31 × Cite Format Result Cite Review PDF Full Text: DOI
Richomme, G. Conjugacy of morphisms and Lyndon decomposition of standard Sturmian words. (English) Zbl 1118.68111 Theor. Comput. Sci. 380, No. 3, 393-400 (2007). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Hubert, Pascal; Vuillon, Laurent Complexity of cutting words on regular tilings. (English) Zbl 1111.68095 Eur. J. Comb. 28, No. 1, 429-438 (2007). Reviewer: Josef Mikeš (Olomouc) MSC: 68R15 52B20 05B50 × Cite Format Result Cite Review PDF Full Text: DOI
Bourke, Chris; Hitchcock, John M.; Vinodchandran, N. V. Entropy rates and finite-state dimension. (English) Zbl 1085.37017 Theor. Comput. Sci. 349, No. 3, 392-406 (2005). MSC: 37C45 68Q45 68Q15 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Araújo, Isabel M.; Bruyère, Véronique Words derivated from Sturmian words. (English) Zbl 1079.68079 Theor. Comput. Sci. 340, No. 2, 204-219 (2005). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Araújo, Isabel M.; Bruyére, Véronique Sturmian words and a criterium by Michaux-Villemaire. (English) Zbl 1076.68050 Theor. Comput. Sci. 339, No. 1, 88-102 (2005). Reviewer: Jean-Paul Allouche (Orsay) MSC: 68R15 05A05 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David Dynamical upper bounds for one-dimensional quasicrystals. (English) Zbl 1077.81039 J. Math. Anal. Appl. 303, No. 1, 327-341 (2005). MSC: 81Q10 47B36 47B39 47N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peyrière, Jacques; Tan, Bo; Wen, Zhi-Xiong; Wu, Jun The factor composition matrix of sequences. (English) Zbl 1068.68116 Theor. Comput. Sci. 329, No. 1-3, 251-269 (2004). MSC: 68R15 11B85 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Bo; Wen, Zhi-Xiong; Zhang, Yiping The structure of invertible substitutions on a three-letter alphabet. (English) Zbl 1082.68092 Adv. Appl. Math. 32, No. 4, 736-753 (2004). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David; Lenz, Daniel Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. (English) Zbl 1173.81315 J. Anal. Math. 90, 115-139 (2003). MSC: 81Q10 39A70 47B36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Bo; Wen, Zhixiong; Zhang, Yiping The structure of invertible substitutions on a three-letter alphabet. (English) Zbl 1066.20053 Anal. Theory Appl. 19, No. 4, 365-382 (2003). MSC: 20M05 68R15 05A05 15A30 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Bo; Wen, Zhi-Ying Invertible substitutions and Sturmian sequences. (English) Zbl 1040.11014 Eur. J. Comb. 24, No. 8, 983-1002 (2003). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11B85 68R15 20M05 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Wei-Ting; Wen, Zhi-Ying Some properties of the factors of Sturmian sequences. (English) Zbl 1045.68109 Theor. Comput. Sci. 304, No. 1-3, 365-385 (2003). MSC: 68R15 11B85 × Cite Format Result Cite Review PDF Full Text: DOI
Lenz, Daniel Hierarchical structures in Sturmian dynamical systems. (English) Zbl 1027.37006 Theor. Comput. Sci. 303, No. 2-3, 463-490 (2003). MSC: 37B10 52C23 37A30 37N20 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karaman, Ayşe Weak repetitions in Sturmian strings. (English) Zbl 1044.68141 Theor. Comput. Sci. 290, No. 3, 2137-2146 (2003). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David; Lenz, Daniel Powers in Sturmian sequences. (English) Zbl 1030.68068 Eur. J. Comb. 24, No. 4, 377-390 (2003). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Bo; Wen, Zhi-Xiong; Zhang, Yiping Invertible substitutions on a three-letter alphabet. (English. Abridged French version) Zbl 1042.11017 C. R., Math., Acad. Sci. Paris 336, No. 2, 111-116 (2003). Reviewer: Valérie Berthé (Montpellier) MSC: 11B85 68R15 37B10 × Cite Format Result Cite Review PDF Full Text: DOI
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David Palindrome complexity. (English) Zbl 1064.68074 Theor. Comput. Sci. 292, No. 1, 9-31 (2003). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Justin, Jacques; Pirillo, Giuseppe On a characteristic property of Arnoux-Rauzy sequences. (English) Zbl 1060.68094 Theor. Inform. Appl. 36, No. 4, 385-388 (2002). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Arnoux, Pierre; Berthé, Valérie; Ito, Shunji Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions. (English) Zbl 1017.11006 Ann. Inst. Fourier 52, No. 2, 305-349 (2002). Reviewer: Takao Komatsu (Tsu, Mie) MSC: 11A55 11J70 40A15 68R15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Justin, Jacques; Pirillo, Giuseppe Episturmian words and episturmian morphisms. (English) Zbl 1002.68116 Theor. Comput. Sci. 276, No. 1-2, 281-313 (2002). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Berstel, Jean; Vuillon, Laurent Coding rotations on intervals. (English) Zbl 0997.68094 Theor. Comput. Sci. 281, No. 1-2, 99-107 (2002). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Zhixiong; Wen, Zhiying; Wu, Jun Invertible substitutions and local isomorphisms. (English. Abridged French version) Zbl 0996.68148 C. R., Math., Acad. Sci. Paris 334, No. 8, 629-634 (2002). MSC: 68R15 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Damanik, David; Lenz, Daniel The index of Sturmian sequences. (English) Zbl 1002.11020 Eur. J. Comb. 23, No. 1, 23-29 (2002). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11B83 68R15 11A55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chekhova, Nataliya; Hubert, Pascal; Messaoudi, Ali Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution. (Propriétés combinatoires, ergodiques et arithmétiques de la substitution de Tribonacci.) (French) Zbl 1038.37010 J. Théor. Nombres Bordx. 13, No. 2, 371-394 (2001). MSC: 37B10 05C99 11B85 37A45 05A99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Berthé, Valérie; Vuillon, Laurent Double sequences of low complexity. (Suites doubles de basse complexité.) (French) Zbl 1018.37010 J. Théor. Nombres Bordx. 12, No. 1, 179-208 (2000). Reviewer: Jean-Paul Allouche (Orsay) MSC: 37B10 11B83 68R15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Ilie, Lucian; Plandowski, Wojciech Two-variable word equations. (English) Zbl 0977.68070 Theor. Inform. Appl. 34, No. 6, 467-501 (2000). MSC: 68R15 68W40 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sander, J. W.; Tijdeman, R. The complexity of functions on lattices. (English) Zbl 1005.68118 Theor. Comput. Sci. 246, No. 1-2, 195-225 (2000). MSC: 68R15 11B85 × Cite Format Result Cite Review PDF Full Text: DOI
Franěk, F.; Karaman, A.; Smyth, W. F. Repetitions in Sturmian strings. (English) Zbl 0949.68124 Theor. Comput. Sci. 249, No. 2, 289-303 (2000). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Tijdeman, R. On the minimal complexity of infinite words. (English) Zbl 1027.11018 Indag. Math., New Ser. 10, No. 1, 123-129 (1999). MSC: 11B75 05A99 11B85 20M05 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Berthé, Valérie; Chekhova, Nataliya; Ferenczi, Sébastien Covering numbers: Arithmetics and dynamics for rotations and interval exchanges. (English) Zbl 0996.37006 J. Anal. Math. 79, 1-31 (1999). Reviewer: Peter Raith (Wien) MSC: 37A35 28D05 37E05 37A45 × Cite Format Result Cite Review PDF Full Text: DOI
Droubay, Xavier; Pirillo, Giuseppe Palindromes and Sturmian words. (English) Zbl 0930.68116 Theor. Comput. Sci. 223, No. 1-2, 73-85 (1999). MSC: 68R15 11B85 × Cite Format Result Cite Review PDF Full Text: DOI
Parvaix, Bruno Substitution invariant Sturmian bisequences. (English) Zbl 0978.11005 J. Théor. Nombres Bordx. 11, No. 1, 201-210 (1999). Reviewer: Štefan Porubský (Praha) MSC: 11B83 11B85 68R15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Ferenczi, Sébastien; Kása, Zoltán Complexity for finite factors of infinite sequences. (English) Zbl 0916.68112 Theor. Comput. Sci. 218, No. 1, 177-195 (1999). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Melançon, Guy Lyndon words and singular factors of sturmian words. (English) Zbl 0933.68104 Theor. Comput. Sci. 218, No. 1, 41-59 (1999). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Cassaigne, Julien Limit values of the recurrence quotient of Sturmian sequences. (English) Zbl 0916.68115 Theor. Comput. Sci. 218, No. 1, 3-12 (1999). MSC: 68R15 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Didier, Gilles The characterization of \(N\)-écritures and applications to the study of sequences of finally \(n+c^{st}\) complexity. (Caractérisation des \(N\)-écritures et application à l’étude des suites de complexité ultimement n+c\(^{ste}\).) (French) Zbl 0913.68163 Theor. Comput. Sci. 215, No. 1-2, 31-49 (1999). MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Allauzen, Cyril A simple characterization of Sturm numbers. (Une caractérisation simple des nombres de Sturm.) (French) Zbl 0930.11051 J. Théor. Nombres Bordx. 10, No. 2, 237-241 (1998). Reviewer: J.-P.Allouche (Orsay) MSC: 11J70 37B10 11B85 68R15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Tijdeman, R. Intertwinings of periodic sequences. (English) Zbl 0918.11012 Indag. Math., New Ser. 9, No. 1, 113-122 (1998). Reviewer: J.-P.Allouche (Orsay) MSC: 11B50 68R15 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Didier, Gilles Codings of rotations and continued fractions. (Codages de rotations et fractions continues.) (French) Zbl 0921.11015 J. Number Theory 71, No. 2, 275-306 (1998). Reviewer: V.Berthé (Marseille) MSC: 11B85 68R15 37E99 11K50 × Cite Format Result Cite Review PDF Full Text: DOI
Justin, J.; Pirillo, G. On some factorizations of infinite words by elements of codes. (English) Zbl 1336.68156 Inf. Process. Lett. 62, No. 6, 289-294 (1997). MSC: 68Q45 68R15 94A45 × Cite Format Result Cite Review PDF Full Text: DOI