Cicalese, Ferdinando; Lipták, Zsuzsanna; Rossi, Massimiliano On infinite prefix normal words. (English) Zbl 07310534 Theor. Comput. Sci. 859, 134-148 (2021). MSC: 68R15 PDF BibTeX XML Cite \textit{F. Cicalese} et al., Theor. Comput. Sci. 859, 134--148 (2021; Zbl 07310534) Full Text: DOI
Akiyama, Shigeki; Kaneko, Hajime Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers. (English) Zbl 07309930 Adv. Math. 380, Article ID 107547, 40 p. (2021). MSC: 11J06 11K16 68R15 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{H. Kaneko}, Adv. Math. 380, Article ID 107547, 40 p. (2021; Zbl 07309930) Full Text: DOI
Peltomäki, Jarkko; Saarela, Aleksi Standard words and solutions of the word equation \(X_1^2\cdots X_n^2=(X_1\cdots X_n)^2\). (English) Zbl 07304653 J. Comb. Theory, Ser. A 178, Article ID 105340, 24 p. (2021). MSC: 68R15 05A05 PDF BibTeX XML Cite \textit{J. Peltomäki} and \textit{A. Saarela}, J. Comb. Theory, Ser. A 178, Article ID 105340, 24 p. (2021; Zbl 07304653) Full Text: DOI
Richomme, Gwenaël On sets of indefinitely desubstitutable words. (English) Zbl 07300883 Theor. Comput. Sci. 857, 97-113 (2021). MSC: 68Q PDF BibTeX XML Cite \textit{G. Richomme}, Theor. Comput. Sci. 857, 97--113 (2021; Zbl 07300883) Full Text: DOI
Dvořáková, L’ubomíra; Medková, Kateřina; Pelantová, Edita Complementary symmetric rote sequences: the critical exponent and the recurrence function. (English) Zbl 07290412 Discrete Math. Theor. Comput. Sci. 22, No. 1, Paper No. 20, 33 p. (2020). MSC: 68R15 PDF BibTeX XML Cite \textit{L. Dvořáková} et al., Discrete Math. Theor. Comput. Sci. 22, No. 1, Paper No. 20, 33 p. (2020; Zbl 07290412) Full Text: DOI
Thuswaldner, Jörg M. \(S\)-adic sequences: a bridge between dynamics, arithmetic, and geometry. (English) Zbl 07287525 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 (ISBN 978-3-030-57665-3/pbk; 978-3-030-57666-0/ebook). Lecture Notes in Mathematics 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 07287525) Full Text: DOI
Peltomäki, Jarkko; Whiteland, Markus A. On \(k\)-abelian equivalence and generalized Lagrange spectra. (English) Zbl 07221811 Acta Arith. 194, No. 2, 135-154 (2020). MSC: 68R15 11J06 PDF BibTeX XML Cite \textit{J. Peltomäki} and \textit{M. A. Whiteland}, Acta Arith. 194, No. 2, 135--154 (2020; Zbl 07221811) Full Text: DOI
Allouche, Jean-Paul; Shallit, Jeffrey; Wen, Zhi-Xiong; Wu, Wen; Zhang, Jie-Meng Sum-free sets generated by the period-\(k\)-folding sequences and some Sturmian sequences. (English) Zbl 07218787 Discrete Math. 343, No. 9, Article ID 111958, 12 p. (2020). MSC: 11B85 68R15 PDF BibTeX XML Cite \textit{J.-P. Allouche} et al., Discrete Math. 343, No. 9, Article ID 111958, 12 p. (2020; Zbl 07218787) Full Text: DOI
Peltomäki, Jarkko Abelian periods of factors of Sturmian words. (English) Zbl 07206994 J. Number Theory 214, 251-285 (2020). Reviewer: Jean-Paul Allouche (Paris) MSC: 68R15 11B85 PDF BibTeX XML Cite \textit{J. Peltomäki}, J. Number Theory 214, 251--285 (2020; Zbl 07206994) Full Text: DOI
Van Enter, Aernout; Koivusalo, Henna; Miȩkisz, Jacek Sturmian ground states in classical lattice-gas models. (English) Zbl 1435.82020 J. Stat. Phys. 178, No. 3, 832-844 (2020). MSC: 82C22 68R15 PDF BibTeX XML Cite \textit{A. Van Enter} et al., J. Stat. Phys. 178, No. 3, 832--844 (2020; Zbl 1435.82020) Full Text: DOI
Chuan, Wai-Fong; Lin, Yu-Jau Approximating Bernoulli words of irrational numbers by \(\alpha \)-words. (English) Zbl 1430.68253 Discrete Math. 343, No. 3, Article ID 111746, 16 p. (2020). MSC: 68R15 PDF BibTeX XML Cite \textit{W.-F. Chuan} and \textit{Y.-J. Lin}, Discrete Math. 343, No. 3, Article ID 111746, 16 p. (2020; Zbl 1430.68253) Full Text: DOI
Peltomäki, Jarkko; Whiteland, Markus A. More on the dynamics of the symbolic square root map. (English) Zbl 1436.68286 Theor. Comput. Sci. 806, 10-27 (2020). MSC: 68R15 37B10 PDF BibTeX XML Cite \textit{J. Peltomäki} and \textit{M. A. Whiteland}, Theor. Comput. Sci. 806, 10--27 (2020; Zbl 1436.68286) Full Text: DOI
Kanel’-Belov, Alekseĭ Yakovlev; Chernyat’ev, Aleksandr Leonidovich On uniformly recurrent words generated by shifting segments, including with a change in orientation. (Russian. English summary) Zbl 1455.37011 Chebyshevskiĭ Sb. 20, No. 4(72), 69-85 (2019). MSC: 37B10 37E05 PDF BibTeX XML Cite \textit{A. Y. Kanel'-Belov} and \textit{A. L. Chernyat'ev}, Chebyshevskiĭ Sb. 20, No. 4(72), 69--85 (2019; Zbl 1455.37011) Full Text: DOI MNR
Cicalese, Ferdinando; Lipták, Zsuzsanna; Rossi, Massimiliano On infinite prefix normal words. (English) Zbl 1445.68184 Catania, Barbara (ed.) et al., SOFSEM 2019: theory and practice of computer science. 45th international conference on current trends in theory and practice of computer science, Nový Smokovec, Slovakia, January 27–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11376, 122-135 (2019). MSC: 68R15 PDF BibTeX XML Cite \textit{F. Cicalese} et al., Lect. Notes Comput. Sci. 11376, 122--135 (2019; Zbl 1445.68184) Full Text: DOI
Medková, Kateřina; Pelantová, Edita; Vuillon, Laurent Derived sequences of complementary symmetric Rote sequences. (English) Zbl 1434.68387 RAIRO, Theor. Inform. Appl. 53, No. 3-4, 125-151 (2019). MSC: 68R15 PDF BibTeX XML Cite \textit{K. Medková} et al., RAIRO, Theor. Inform. Appl. 53, No. 3--4, 125--151 (2019; Zbl 1434.68387) Full Text: DOI
Kwon, Doyong A singular function from Sturmian continued fractions. (English) Zbl 07128260 J. Korean Math. Soc. 56, No. 4, 1049-1061 (2019). MSC: 11A55 11J04 26A30 68R15 PDF BibTeX XML Cite \textit{D. Kwon}, J. Korean Math. Soc. 56, No. 4, 1049--1061 (2019; Zbl 07128260) Full Text: DOI
Peltomäki, Jarkko; Whiteland, Markus A. Every nonnegative real number is an abelian critical exponent. (English) Zbl 1453.68146 Mercaş, Robert (ed.) et al., Combinatorics on words. 12th international conference, WORDS 2019, Loughborough, UK, September 9–13, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11682, 275-285 (2019). Reviewer: Wolfgang Steiner (Paris) MSC: 68R15 PDF BibTeX XML Cite \textit{J. Peltomäki} and \textit{M. A. Whiteland}, Lect. Notes Comput. Sci. 11682, 275--285 (2019; Zbl 1453.68146) Full Text: DOI
Noll, Thomas; Clampitt, David Exploring the syntonic side of major-minor tonality. (English) Zbl 1456.00089 Montiel, Mariana (ed.) et al., Mathematics and computation in music. 7th international conference, MCM 2019, Madrid, Spain, June 18–21, 2019, Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11502, 125-136 (2019). MSC: 00A65 PDF BibTeX XML Cite \textit{T. Noll} and \textit{D. Clampitt}, Lect. Notes Comput. Sci. 11502, 125--136 (2019; Zbl 1456.00089) Full Text: DOI
Ambrož, Petr; Pelantová, Edita On palindromic length of Sturmian sequences. (English) Zbl 07117550 Hofman, Piotrek (ed.) et al., Developments in language theory. 23rd international conference, DLT 2019, Warsaw, Poland, August 5–9, 2019. Proceedings. Cham: Springer (ISBN 978-3-030-24885-7/pbk; 978-3-030-24886-4/ebook). Lecture Notes in Computer Science 11647, 244-250 (2019). MSC: 68Q45 PDF BibTeX XML Cite \textit{P. Ambrož} and \textit{E. Pelantová}, Lect. Notes Comput. Sci. 11647, 244--250 (2019; Zbl 07117550) Full Text: DOI
Kwon, Doyong Sturmian words and Cantor sets arising from unique expansions over ternary alphabets. (English) Zbl 1443.11150 Ergodic Theory Dyn. Syst. 39, No. 10, 2827-2854 (2019). MSC: 11K16 11A63 28A80 37B10 PDF BibTeX XML Cite \textit{D. Kwon}, Ergodic Theory Dyn. Syst. 39, No. 10, 2827--2854 (2019; Zbl 1443.11150) Full Text: DOI
Jahannia, Marieh; Mohammad-noori, Morteza; Rampersad, Narad; Stipulanti, Manon Palindromic Ziv-Lempel and Crochemore factorizations of \(m\)-bonacci infinite words. (English) Zbl 1436.68281 Theor. Comput. Sci. 790, 16-40 (2019). Reviewer: Anna Frid (Marseille) MSC: 68R15 68P30 PDF BibTeX XML Cite \textit{M. Jahannia} et al., Theor. Comput. Sci. 790, 16--40 (2019; Zbl 1436.68281) Full Text: DOI arXiv
Kim, Dong Han; Lim, Seonhee Continued fraction algorithm for Sturmian colorings of trees. (English) Zbl 1426.05045 Ergodic Theory Dyn. Syst. 39, No. 9, 2541-2569 (2019). MSC: 05C15 05C05 05C85 PDF BibTeX XML Cite \textit{D. H. Kim} and \textit{S. Lim}, Ergodic Theory Dyn. Syst. 39, No. 9, 2541--2569 (2019; Zbl 1426.05045) Full Text: DOI
Cassaigne, Julien; Frid, Anna E.; Puzynina, Svetlana; Zamboni, Luca Q. A characterization of words of linear complexity. (English) Zbl 1423.68368 Proc. Am. Math. Soc. 147, No. 7, 3103-3115 (2019). Reviewer: Wolfgang Steiner (Sydney) MSC: 68R15 37B10 PDF BibTeX XML Cite \textit{J. Cassaigne} et al., Proc. Am. Math. Soc. 147, No. 7, 3103--3115 (2019; Zbl 1423.68368) Full Text: DOI
Richomme, Gwenaël Characterization of infinite LSP words and endomorphisms preserving the LSP property. (English) Zbl 1415.68138 Int. J. Found. Comput. Sci. 30, No. 1, 171-196 (2019). MSC: 68Q45 68Q70 68R15 PDF BibTeX XML Cite \textit{G. Richomme}, Int. J. Found. Comput. Sci. 30, No. 1, 171--196 (2019; Zbl 1415.68138) Full Text: DOI
Parshina, Olga; Zamboni, Luca Q. Open and closed factors in Arnoux-Rauzy words. (English) Zbl 07070452 Adv. Appl. Math. 107, 22-31 (2019). MSC: 68R15 PDF BibTeX XML Cite \textit{O. Parshina} and \textit{L. Q. Zamboni}, Adv. Appl. Math. 107, 22--31 (2019; Zbl 07070452) Full Text: DOI
Rampersad, Narad; Shallit, Jeffrey; Vandomme, Élise Critical exponents of infinite balanced words. (English) Zbl 1446.68132 Theor. Comput. Sci. 777, 454-463 (2019). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 68R15 68V15 PDF BibTeX XML Cite \textit{N. Rampersad} et al., Theor. Comput. Sci. 777, 454--463 (2019; Zbl 1446.68132) Full Text: DOI arXiv
Florian, Josef; Veselá, Tereza; Dvořáková, Ľubomíra Normalization of ternary generalized pseudostandard words. (English) Zbl 1437.68145 Theor. Comput. Sci. 780, 29-53 (2019). Reviewer: Gabriele Fici (Palermo) MSC: 68R15 PDF BibTeX XML Cite \textit{J. Florian} et al., Theor. Comput. Sci. 780, 29--53 (2019; Zbl 1437.68145) Full Text: DOI
Dance, Christopher R.; Silander, Tomi Optimal policies for observing time series and related restless bandit problems. (English) Zbl 07049754 J. Mach. Learn. Res. 20, Paper No. 35, 93 p. (2019). MSC: 68T05 PDF BibTeX XML Cite \textit{C. R. Dance} and \textit{T. Silander}, J. Mach. Learn. Res. 20, Paper No. 35, 93 p. (2019; Zbl 07049754) Full Text: Link
Aubrun, Nathalie; Barbieri, Sebastián; Thomassé, Stéphan Realization of aperiodic subshifts and uniform densities in groups. (English) Zbl 1437.37014 Groups Geom. Dyn. 13, No. 1, 107-129 (2019). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 37B10 20F10 37B51 05A05 20M05 PDF BibTeX XML Cite \textit{N. Aubrun} et al., Groups Geom. Dyn. 13, No. 1, 107--129 (2019; Zbl 1437.37014) Full Text: DOI arXiv
Bugeaud, Yann; Kim, Dong Han A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers. (English) Zbl 1409.68224 Trans. Am. Math. Soc. 371, No. 5, 3281-3308 (2019). Reviewer: Wolfgang Steiner (Sydney) MSC: 68R15 11A63 11J82 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{D. H. Kim}, Trans. Am. Math. Soc. 371, No. 5, 3281--3308 (2019; Zbl 1409.68224) Full Text: DOI arXiv
Reutenauer, Christophe From Christoffel words to Markoff numbers. (English) Zbl 1443.11002 Oxford: Oxford University Press (ISBN 978-0-19-882754-2/hbk). xi, 156 p. (2019). Reviewer: Ioan Tomescu (Bucureşti) MSC: 11-02 05-02 05A05 11A55 11J06 68R15 PDF BibTeX XML Cite \textit{C. Reutenauer}, From Christoffel words to Markoff numbers. Oxford: Oxford University Press (2019; Zbl 1443.11002) Full Text: DOI
Noll, Thomas; Clampitt, David Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited. (English) Zbl 1427.00039 J. Math. Music 12, No. 3, 171-211 (2018). MSC: 00A65 68R15 PDF BibTeX XML Cite \textit{T. Noll} and \textit{D. Clampitt}, J. Math. Music 12, No. 3, 171--211 (2018; Zbl 1427.00039) Full Text: DOI
Carey, Norman; Clampitt, David Variety and multiplicity for partitioned factors in Christoffel and Sturmian words. (English) Zbl 1427.00033 J. Math. Music 12, No. 3, 154-170 (2018). MSC: 00A65 68R15 PDF BibTeX XML Cite \textit{N. Carey} and \textit{D. Clampitt}, J. Math. Music 12, No. 3, 154--170 (2018; Zbl 1427.00033) Full Text: DOI
Clampitt, David; Noll, Thomas Naming and ordering the modes, in light of combinatorics on words. (English) Zbl 1427.00034 J. Math. Music 12, No. 3, 134-153 (2018). MSC: 00A65 68R15 PDF BibTeX XML Cite \textit{D. Clampitt} and \textit{T. Noll}, J. Math. Music 12, No. 3, 134--153 (2018; Zbl 1427.00034) Full Text: DOI
Dekking, Michel Substitution invariant Sturmian words and binary trees. (English) Zbl 1416.05008 Integers 18A, Paper A7, 15 p. (2018). MSC: 05A05 68R15 PDF BibTeX XML Cite \textit{M. Dekking}, Integers 18A, Paper A7, 15 p. (2018; Zbl 1416.05008) Full Text: Link arXiv
Borchert, Adam; Rampersad, Narad Permutation complexity of images of Sturmian words by marked morphisms. (English) Zbl 1402.68144 Discrete Math. Theor. Comput. Sci. 20, No. 1, Paper No. 20, 9 p. (2018). Reviewer: Anton Černý (Safat) MSC: 68R15 PDF BibTeX XML Cite \textit{A. Borchert} and \textit{N. Rampersad}, Discrete Math. Theor. Comput. Sci. 20, No. 1, Paper No. 20, 9 p. (2018; Zbl 1402.68144) Full Text: Link arXiv
Carey, Norman; Clampitt, David Partitioned factors in Christoffel and Sturmian words. (English) Zbl 1400.68163 Theor. Comput. Sci. 743, 53-63 (2018). Reviewer: Anton Černý (Safat) MSC: 68R15 PDF BibTeX XML Cite \textit{N. Carey} and \textit{D. Clampitt}, Theor. Comput. Sci. 743, 53--63 (2018; Zbl 1400.68163) Full Text: DOI arXiv
Klouda, Karel; Medková, Kateřina; Pelantová, Edita; Starosta, Štěpán Fixed points of Sturmian morphisms and their derivated words. (English) Zbl 1400.68166 Theor. Comput. Sci. 743, 23-37 (2018). Reviewer: Anna Frid (Marseille) MSC: 68R15 PDF BibTeX XML Cite \textit{K. Klouda} et al., Theor. Comput. Sci. 743, 23--37 (2018; Zbl 1400.68166) Full Text: DOI
Zamboni, Luca Q. On the character of words of sublinear complexity. (English) Zbl 1408.68126 Acta Arith. 184, No. 3, 201-213 (2018). Reviewer: Anna Frid (Marseille) MSC: 68R15 PDF BibTeX XML Cite \textit{L. Q. Zamboni}, Acta Arith. 184, No. 3, 201--213 (2018; Zbl 1408.68126) Full Text: DOI
Repovš, Dušan D.; Zaicev, Mikhail V. \(\mathbb Z_2\)-graded codimensions of unital algebras. (English) Zbl 1442.17004 Int. J. Algebra Comput. 28, No. 3, 483-500 (2018). Reviewer: Vesselin Drensky (Sofia) MSC: 17A30 17A50 16P90 17B01 17B70 16R10 05A05 68R15 PDF BibTeX XML Cite \textit{D. D. Repovš} and \textit{M. V. Zaicev}, Int. J. Algebra Comput. 28, No. 3, 483--500 (2018; Zbl 1442.17004) Full Text: DOI arXiv
Dekking, Michel The Frobenius problem for homomorphic embeddings of languages into the integers. (English) Zbl 1395.68165 Theor. Comput. Sci. 732, 73-79 (2018). MSC: 68Q45 68R15 PDF BibTeX XML Cite \textit{M. Dekking}, Theor. Comput. Sci. 732, 73--79 (2018; Zbl 1395.68165) Full Text: DOI arXiv
Frid, Anna E. Sturmian numeration systems and decompositions to palindromes. (English) Zbl 1402.68147 Eur. J. Comb. 71, 202-212 (2018). Reviewer: Gabriele Fici (Palermo) MSC: 68R15 PDF BibTeX XML Cite \textit{A. E. Frid}, Eur. J. Comb. 71, 202--212 (2018; Zbl 1402.68147) Full Text: DOI
Séébold, Patrice Sturmian images of non Sturmian words and standard morphisms. (English) Zbl 1393.68145 Theor. Comput. Sci. 711, 92-104 (2018). Reviewer: Jean-Paul Allouche (Paris) MSC: 68R15 11B85 68Q42 PDF BibTeX XML Cite \textit{P. Séébold}, Theor. Comput. Sci. 711, 92--104 (2018; Zbl 1393.68145) Full Text: DOI
Giambruno, Antonio; Zaicev, Mikhail Sturmian words and overexponential codimension growth. (English) Zbl 1430.17003 Adv. Appl. Math. 95, 53-64 (2018). MSC: 17A30 17A50 17D99 16P90 16R10 68R15 PDF BibTeX XML Cite \textit{A. Giambruno} and \textit{M. Zaicev}, Adv. Appl. Math. 95, 53--64 (2018; Zbl 1430.17003) Full Text: DOI
Schleischitz, Johannes Cubic approximation to Sturmian continued fractions. (English) Zbl 1420.11103 J. Number Theory 184, 270-299 (2018). MSC: 11J70 11H06 11J13 11B85 PDF BibTeX XML Cite \textit{J. Schleischitz}, J. Number Theory 184, 270--299 (2018; Zbl 1420.11103) Full Text: DOI arXiv
Bugeaud, Yann; Kim, Dong Han On the expansions of real numbers in two integer bases. (Sur le développement des nombres réels en deux bases entières.) (English. French summary) Zbl 1433.11004 Ann. Inst. Fourier 67, No. 5, 2225-2235 (2017). MSC: 11A63 68R15 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{D. H. Kim}, Ann. Inst. Fourier 67, No. 5, 2225--2235 (2017; Zbl 1433.11004) Full Text: DOI arXiv
Clampitt, David; Noll, Thomas Pairwise well-formed modes and transformations. (English) Zbl 1456.00064 Agustín-Aquino, Octavio A. (ed.) et al., Mathematics and computation in music. 6th international conference, MCM 2017, Mexico City, Mexico, June 26–29, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10527, 26-37 (2017). MSC: 00A65 PDF BibTeX XML Cite \textit{D. Clampitt} and \textit{T. Noll}, Lect. Notes Comput. Sci. 10527, 26--37 (2017; Zbl 1456.00064) Full Text: DOI arXiv
Lapointe, Mélodie Study of Christoffel classes: normal form and periodicity. (English) Zbl 1405.68266 Brlek, Srečko (ed.) et al., Combinatorics on words. 11th international conference, WORDS 2017, Montréal, QC, Canada, September 11–15, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-66395-1/pbk; 978-3-319-66396-8/ebook). Lecture Notes in Computer Science 10432, 109-120 (2017). MSC: 68R15 PDF BibTeX XML Cite \textit{M. Lapointe}, Lect. Notes Comput. Sci. 10432, 109--120 (2017; Zbl 1405.68266) Full Text: DOI
Clampitt, David; Noll, Thomas Matching lexicographic and conjugation orders on the conjugation class of a special Sturmian morphism. (English) Zbl 1405.68258 Brlek, Srečko (ed.) et al., Combinatorics on words. 11th international conference, WORDS 2017, Montréal, QC, Canada, September 11–15, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-66395-1/pbk; 978-3-319-66396-8/ebook). Lecture Notes in Computer Science 10432, 85-96 (2017). MSC: 68R15 PDF BibTeX XML Cite \textit{D. Clampitt} and \textit{T. Noll}, Lect. Notes Comput. Sci. 10432, 85--96 (2017; Zbl 1405.68258) Full Text: DOI
Richomme, Gwenaël A characterization of infinite LSP words. (English) Zbl 1410.68209 Charlier, Émilie (ed.) et al., Developments in language theory. 21st international conference, DLT 2017, Liège, Belgium, August 7–11, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10396, 320-331 (2017). MSC: 68Q45 68Q70 68R15 PDF BibTeX XML Cite \textit{G. Richomme}, Lect. Notes Comput. Sci. 10396, 320--331 (2017; Zbl 1410.68209) Full Text: DOI
Avgustinovich, S. V.; Frid, A. E.; Puzynina, S. Minimal complexity of equidistributed infinite permutations. (English) Zbl 1369.05002 Eur. J. Comb. 65, 24-36 (2017). MSC: 05A05 68R15 PDF BibTeX XML Cite \textit{S. V. Avgustinovich} et al., Eur. J. Comb. 65, 24--36 (2017; Zbl 1369.05002) Full Text: DOI
De Luca, Alessandro; Fici, Gabriele; Zamboni, Luca Q. The sequence of open and closed prefixes of a Sturmian word. (English) Zbl 1427.68258 Adv. Appl. Math. 90, 27-45 (2017). MSC: 68R15 PDF BibTeX XML Cite \textit{A. De Luca} et al., Adv. Appl. Math. 90, 27--45 (2017; Zbl 1427.68258) Full Text: DOI arXiv
Bugeaud, Yann; Kim, Dong Han On the expansions of real numbers in two multiplicatively dependent bases. (English) Zbl 1437.11011 Bull. Aust. Math. Soc. 95, No. 3, 373-383 (2017). MSC: 11A63 68R15 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{D. H. Kim}, Bull. Aust. Math. Soc. 95, No. 3, 373--383 (2017; Zbl 1437.11011) Full Text: DOI
Charlier, Émilie; Puzynina, Svetlana; Zamboni, Luca Q. On a group theoretic generalization of the Morse-Hedlund theorem. (English) Zbl 1377.37018 Proc. Am. Math. Soc. 145, No. 8, 3381-3394 (2017). MSC: 37B10 05A05 20M05 PDF BibTeX XML Cite \textit{É. Charlier} et al., Proc. Am. Math. Soc. 145, No. 8, 3381--3394 (2017; Zbl 1377.37018) Full Text: DOI arXiv
Fici, Gabriele; Mignosi, Filippo; Shallit, Jeffrey Abelian-square-rich words. (English) Zbl 1395.68224 Theor. Comput. Sci. 684, 29-42 (2017). Reviewer: Panayiotis Vlamos (Athena) MSC: 68R15 PDF BibTeX XML Cite \textit{G. Fici} et al., Theor. Comput. Sci. 684, 29--42 (2017; Zbl 1395.68224) Full Text: DOI arXiv
Peltomäki, Jarkko; Whiteland, Markus A. A square root map on Sturmian words. (English) Zbl 1366.68227 Electron. J. Comb. 24, No. 1, Research Paper P1.54, 50 p. (2017). Reviewer: Anton Černý (Safat) MSC: 68R15 PDF BibTeX XML Cite \textit{J. Peltomäki} and \textit{M. A. Whiteland}, Electron. J. Comb. 24, No. 1, Research Paper P1.54, 50 p. (2017; Zbl 1366.68227) Full Text: Link
Cassaigne, Julien; Fici, Gabriele; Sciortino, Marinella; Zamboni, Luca Q. Cyclic complexity of words. (English) Zbl 1369.68271 J. Comb. Theory, Ser. A 145, 36-56 (2017). Reviewer: Panayiotis Vlamos (Athena) MSC: 68R15 PDF BibTeX XML Cite \textit{J. Cassaigne} et al., J. Comb. Theory, Ser. A 145, 36--56 (2017; Zbl 1369.68271) Full Text: DOI
Gamard, Guilhem; Richomme, Gwenaël Determining sets of quasiperiods of infinite words. (English) Zbl 1398.05005 Faliszewski, Piotr (ed.) et al., 41st international symposium on mathematical foundations of computer science, MFCS 2016, Kraków, Poland, August 22–26, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-016-3). LIPIcs – Leibniz International Proceedings in Informatics 58, Article 40, 13 p. (2016). MSC: 05A05 PDF BibTeX XML Cite \textit{G. Gamard} and \textit{G. Richomme}, LIPIcs -- Leibniz Int. Proc. Inform. 58, Article 40, 13 p. (2016; Zbl 1398.05005) Full Text: DOI
Kim, Dong Han Subball complexity and Sturmian colorings of regular trees. (English) Zbl 1372.37084 RIMS Kôkyûroku Bessatsu B58, 85-96 (2016). MSC: 37E25 68R15 PDF BibTeX XML Cite \textit{D. H. Kim}, RIMS Kôkyûroku Bessatsu B58, 85--96 (2016; Zbl 1372.37084)
Chuan, Wai-Fong; Liao, Fang-Yi; Yu, Fei Markov word patterns and a relation on \(\alpha\)-words. (English) Zbl 1353.68222 Discrete Appl. Math. 214, 63-87 (2016). MSC: 68R15 PDF BibTeX XML Cite \textit{W.-F. Chuan} et al., Discrete Appl. Math. 214, 63--87 (2016; Zbl 1353.68222) Full Text: DOI
Cassaigne, Julien; Duchêne, Eric; Rigo, Michel Nonhomogeneous Beatty sequences leading to invariant games. (English) Zbl 1419.11047 SIAM J. Discrete Math. 30, No. 3, 1798-1829 (2016). MSC: 11B83 11B85 68R15 91A46 PDF BibTeX XML Cite \textit{J. Cassaigne} et al., SIAM J. Discrete Math. 30, No. 3, 1798--1829 (2016; Zbl 1419.11047) Full Text: DOI
Balková, Ľubomíra; Bucci, Michelangelo; De Luca, Alessandro; Hladký, Jiří; Puzynina, Svetlana Aperiodic pseudorandom number generators based on infinite words. (English) Zbl 1349.65022 Theor. Comput. Sci. 647, 85-100 (2016). MSC: 65C10 68R15 PDF BibTeX XML Cite \textit{Ľ. Balková} et al., Theor. Comput. Sci. 647, 85--100 (2016; Zbl 1349.65022) Full Text: DOI arXiv
Fici, Gabriele; Langiu, Alessio; Lecroq, Thierry; Lefebvre, Arnaud; Mignosi, Filippo; Peltomäki, Jarkko; Prieur-Gaston, Élise Abelian powers and repetitions in Sturmian words. (English) Zbl 1346.68150 Theor. Comput. Sci. 635, 16-34 (2016). Reviewer: Anton Cerny (Safat) MSC: 68R15 11J06 PDF BibTeX XML Cite \textit{G. Fici} et al., Theor. Comput. Sci. 635, 16--34 (2016; Zbl 1346.68150) Full Text: DOI
Nekrashevych, Volodymyr Growth of étale groupoids and simple algebras. (English) Zbl 1366.16016 Int. J. Algebra Comput. 26, No. 2, 375-397 (2016). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16P90 22A22 20L05 PDF BibTeX XML Cite \textit{V. Nekrashevych}, Int. J. Algebra Comput. 26, No. 2, 375--397 (2016; Zbl 1366.16016) Full Text: DOI arXiv
de Luca, Aldo; Zamboni, Luca Q. On some variations of coloring problems of infinite words. (English) Zbl 1341.68147 J. Comb. Theory, Ser. A 137, 166-178 (2016). MSC: 68R15 05D10 PDF BibTeX XML Cite \textit{A. de Luca} and \textit{L. Q. Zamboni}, J. Comb. Theory, Ser. A 137, 166--178 (2016; Zbl 1341.68147) Full Text: DOI arXiv
Epple, Dennis D. A.; Siefken, Jason Collapse: a Fibonacci and Sturmian game. (English) Zbl 1338.68228 Am. Math. Mon. 122, No. 6, 515-527 (2015). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 68R15 05A05 11B99 91A80 PDF BibTeX XML Cite \textit{D. D. A. Epple} and \textit{J. Siefken}, Am. Math. Mon. 122, No. 6, 515--527 (2015; Zbl 1338.68228) Full Text: DOI
Kwon, Doyong Discrete measures with dense jumps induced by Sturmian Dirichlet series. (English) Zbl 1361.11055 Bull. Korean Math. Soc. 52, No. 6, 1797-1803 (2015). Reviewer: Sami Omar (Tunis) MSC: 11M41 26A30 68R15 PDF BibTeX XML Cite \textit{D. Kwon}, Bull. Korean Math. Soc. 52, No. 6, 1797--1803 (2015; Zbl 1361.11055) Full Text: DOI
Borchert, Adam; Rampersad, Narad Words with many palindrome pair factors. (English) Zbl 1327.68181 Electron. J. Comb. 22, No. 4, Research Paper P4.23, 16 p. (2015). Reviewer: Anton Cerny (Safat) MSC: 68R15 PDF BibTeX XML Cite \textit{A. Borchert} and \textit{N. Rampersad}, Electron. J. Comb. 22, No. 4, Research Paper P4.23, 16 p. (2015; Zbl 1327.68181) Full Text: Link arXiv
Castiglione, Giuseppa; Sciortino, Marinella Standard Sturmian words and automata minimization algorithms. (English) Zbl 1329.68159 Theor. Comput. Sci. 601, 58-66 (2015). MSC: 68Q45 68R15 PDF BibTeX XML Cite \textit{G. Castiglione} and \textit{M. Sciortino}, Theor. Comput. Sci. 601, 58--66 (2015; Zbl 1329.68159) Full Text: DOI
Rigo, Michel; Salimov, P. Another generalization of abelian equivalence: binomial complexity of infinite words. (English) Zbl 1330.68243 Theor. Comput. Sci. 601, 47-57 (2015). Reviewer: Anton Cerny (Safat) MSC: 68R15 05A10 11B65 PDF BibTeX XML Cite \textit{M. Rigo} and \textit{P. Salimov}, Theor. Comput. Sci. 601, 47--57 (2015; Zbl 1330.68243) Full Text: DOI
Glen, Amy; Levé, Florence Generalized trapezoidal words. (English) Zbl 1343.68187 J. Comb. Theory, Ser. A 136, 96-125 (2015). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 68R15 PDF BibTeX XML Cite \textit{A. Glen} and \textit{F. Levé}, J. Comb. Theory, Ser. A 136, 96--125 (2015; Zbl 1343.68187) Full Text: DOI arXiv
Peltomäki, Jarkko Characterization of repetitions in Sturmian words: a new proof. (English) Zbl 1332.68178 Inf. Process. Lett. 115, No. 11, 886-891 (2015). MSC: 68R15 68Q45 PDF BibTeX XML Cite \textit{J. Peltomäki}, Inf. Process. Lett. 115, No. 11, 886--891 (2015; Zbl 1332.68178) Full Text: DOI
Reutenauer, Christophe Studies on finite Sturmian words. (English) Zbl 1325.68174 Theor. Comput. Sci. 591, 106-133 (2015). MSC: 68R15 PDF BibTeX XML Cite \textit{C. Reutenauer}, Theor. Comput. Sci. 591, 106--133 (2015; Zbl 1325.68174) Full Text: DOI
Sahasrabudhe, Julian Sturmian words and constant additive complexity. (English) Zbl 1329.68203 Integers 15, Paper A30, 8 p. (2015). Reviewer: Anton Cerny (Safat) MSC: 68R15 PDF BibTeX XML Cite \textit{J. Sahasrabudhe}, Integers 15, Paper A30, 8 p. (2015; Zbl 1329.68203) Full Text: EMIS
de Luca, Aldo; De Luca, Alessandro Sturmian words and the Stern sequence. (English) Zbl 1321.68395 Theor. Comput. Sci. 581, 26-44 (2015). Reviewer: Anton Cerny (Safat) MSC: 68R15 11B83 PDF BibTeX XML Cite \textit{A. de Luca} and \textit{A. De Luca}, Theor. Comput. Sci. 581, 26--44 (2015; Zbl 1321.68395) Full Text: DOI arXiv
Kwon, DoYong Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\). (Paramètres exceptionnels de transformations linéaires mod un et parties fractionnaires \(\{ \xi (p/q)^n \}\).) (English. French summary) Zbl 1323.11060 C. R., Math., Acad. Sci. Paris 353, No. 4, 291-296 (2015). Reviewer: Maria Infusino (Konstanz) MSC: 11K31 11J71 11K55 68R15 PDF BibTeX XML Cite \textit{D. Kwon}, C. R., Math., Acad. Sci. Paris 353, No. 4, 291--296 (2015; Zbl 1323.11060) Full Text: DOI
Kupsa, Michal; Starosta, Štěpán On the partitions with Sturmian-like refinements. (English) Zbl 1317.37016 Discrete Contin. Dyn. Syst. 35, No. 8, 3483-3501 (2015). Reviewer: Thomas B. Ward (Durham) MSC: 37B10 68R15 37E10 PDF BibTeX XML Cite \textit{M. Kupsa} and \textit{Š. Starosta}, Discrete Contin. Dyn. Syst. 35, No. 8, 3483--3501 (2015; Zbl 1317.37016) Full Text: DOI arXiv
Kwon, DoYong A one-parameter family of Dirichlet series whose coefficients are Sturmian words. (English) Zbl 1381.11091 J. Number Theory 147, 824-835 (2015). MSC: 11M41 11J82 26A30 68R15 PDF BibTeX XML Cite \textit{D. Kwon}, J. Number Theory 147, 824--835 (2015; Zbl 1381.11091) Full Text: DOI
Harju, Tero; Huova, Mari; Zamboni, Luca Q. On generating binary words palindromically. (English) Zbl 1307.68060 J. Comb. Theory, Ser. A 129, 142-159 (2015). Reviewer: Anton Cerny (Safat) MSC: 68R15 05A05 PDF BibTeX XML Cite \textit{T. Harju} et al., J. Comb. Theory, Ser. A 129, 142--159 (2015; Zbl 1307.68060) Full Text: DOI arXiv
Blanchet-Sadri, F.; Fox, Nathan; Rampersad, Narad On the asymptotic abelian complexity of morphic words. (English) Zbl 1371.68220 Adv. Appl. Math. 61, 46-84 (2014). MSC: 68R15 05A05 PDF BibTeX XML Cite \textit{F. Blanchet-Sadri} et al., Adv. Appl. Math. 61, 46--84 (2014; Zbl 1371.68220) Full Text: DOI
Piątkowski, Marcin; Rytter, Wojciech Computing the number of cubic runs in standard Sturmian words. (English) Zbl 1329.68202 Discrete Appl. Math. 163, Part 3, 361-372 (2014). MSC: 68R15 PDF BibTeX XML Cite \textit{M. Piątkowski} and \textit{W. Rytter}, Discrete Appl. Math. 163, Part 3, 361--372 (2014; Zbl 1329.68202) Full Text: DOI
Furukado, Maki; Ito, Shunji; Saito, Asaki; Tamura, Jun-ichi; Yasutomi, Shin-ichi A new multidimensional slow continued fraction algorithm and stepped surface. (English) Zbl 1335.11055 Exp. Math. 23, No. 4, 390-410 (2014). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11J70 11Y65 37B10 52C22 68R15 PDF BibTeX XML Cite \textit{M. Furukado} et al., Exp. Math. 23, No. 4, 390--410 (2014; Zbl 1335.11055) Full Text: DOI arXiv
Frid, A.; Jamet, D. The number of binary rotation words. (English) Zbl 1302.68224 RAIRO, Theor. Inform. Appl. 48, No. 4, 453-465 (2014). MSC: 68R15 37B10 PDF BibTeX XML Cite \textit{A. Frid} and \textit{D. Jamet}, RAIRO, Theor. Inform. Appl. 48, No. 4, 453--465 (2014; Zbl 1302.68224) Full Text: DOI
Cassaigne, Julien; Fici, Gabriele; Sciortino, Marinella; Zamboni, Luca Q. Cyclic complexity of words. (English) Zbl 1425.68326 Csuhaj-Varjú, Erzsébet (ed.) et al., Mathematical foundations of computer science 2014. 39th international symposium, MFCS 2014, Budapest, Hungary, August 25–29, 2014. Proceedings, Part I. Berlin: Springer. Lect. Notes Comput. Sci. 8634, 159-170 (2014). MSC: 68R15 PDF BibTeX XML Cite \textit{J. Cassaigne} et al., Lect. Notes Comput. Sci. 8634, 159--170 (2014; Zbl 1425.68326) Full Text: DOI arXiv
Charlier, Émilie; Kamae, Teturo; Puzynina, Svetlana; Zamboni, Luca Q. Infinite self-shuffling words. (English) Zbl 1309.68161 J. Comb. Theory, Ser. A 128, 1-40 (2014). MSC: 68R15 PDF BibTeX XML Cite \textit{É. Charlier} et al., J. Comb. Theory, Ser. A 128, 1--40 (2014; Zbl 1309.68161) Full Text: DOI arXiv
Vesti, Jetro Extensions of rich words. (English) Zbl 1307.68063 Theor. Comput. Sci. 548, 14-24 (2014). Reviewer: Anton Cerny (Safat) MSC: 68R15 PDF BibTeX XML Cite \textit{J. Vesti}, Theor. Comput. Sci. 548, 14--24 (2014; Zbl 1307.68063) Full Text: DOI arXiv
Sidorov, N. Supercritical holes for the doubling map. (English) Zbl 1340.37007 Acta Math. Hung. 143, No. 2, 298-312 (2014). Reviewer: Makoto Mori (Tokyo) MSC: 37B10 28D05 68R15 PDF BibTeX XML Cite \textit{N. Sidorov}, Acta Math. Hung. 143, No. 2, 298--312 (2014; Zbl 1340.37007) Full Text: DOI
De Luca, Aldo; Pribavkina, Elena V.; Zamboni, Luca Q. A coloring problem for infinite words. (English) Zbl 1295.05256 J. Comb. Theory, Ser. A 125, 306-332 (2014). MSC: 05D10 68R10 68R15 PDF BibTeX XML Cite \textit{A. De Luca} et al., J. Comb. Theory, Ser. A 125, 306--332 (2014; Zbl 1295.05256) Full Text: DOI arXiv
Rampersad, Narad; Rigo, Michel; Salimov, Pavel A note on abelian returns in rotation words. (English) Zbl 1295.68179 Theor. Comput. Sci. 528, 101-107 (2014). Reviewer: Panayiotis Vlamos (Athens) MSC: 68R15 PDF BibTeX XML Cite \textit{N. Rampersad} et al., Theor. Comput. Sci. 528, 101--107 (2014; Zbl 1295.68179) Full Text: DOI
Fici, Gabriele On the structure of bispecial Sturmian words. (English) Zbl 1285.68132 J. Comput. Syst. Sci. 80, No. 4, 711-719 (2014). MSC: 68R15 PDF BibTeX XML Cite \textit{G. Fici}, J. Comput. Syst. Sci. 80, No. 4, 711--719 (2014; Zbl 1285.68132) Full Text: DOI
Saari, Kalle Lyndon words and Fibonacci numbers. (English) Zbl 1282.68188 J. Comb. Theory, Ser. A 121, 34-44 (2014). MSC: 68R15 PDF BibTeX XML Cite \textit{K. Saari}, J. Comb. Theory, Ser. A 121, 34--44 (2014; Zbl 1282.68188) Full Text: DOI arXiv
Kwon, DoYong A two-dimensional singular function via Sturmian words in base \(\beta\). (English) Zbl 1297.11087 J. Number Theory 133, No. 11, 3982-3994 (2013). MSC: 11J83 26A30 37B10 68R15 PDF BibTeX XML Cite \textit{D. Kwon}, J. Number Theory 133, No. 11, 3982--3994 (2013; Zbl 1297.11087) Full Text: DOI
Blanchet-Sadri, F.; Simmons, Sean Counting minimal semi-Sturmian words. (English) Zbl 1311.68126 Discrete Appl. Math. 161, No. 18, 2851-2861 (2013). MSC: 68R15 PDF BibTeX XML Cite \textit{F. Blanchet-Sadri} and \textit{S. Simmons}, Discrete Appl. Math. 161, No. 18, 2851--2861 (2013; Zbl 1311.68126) Full Text: DOI
Rigo, M.; Salimov, P.; Vandomme, E. Some properties of abelian return words. (English) Zbl 1297.68195 J. Integer Seq. 16, No. 2, Article 13.2.5, 21 p. (2013). Reviewer: Gabriele Fici (Palermo) MSC: 68R15 PDF BibTeX XML Cite \textit{M. Rigo} et al., J. Integer Seq. 16, No. 2, Article 13.2.5, 21 p. (2013; Zbl 1297.68195) Full Text: EMIS
Karhumaki, Juhani; Saarela, Aleksi; Zamboni, Luca Q. On a generalization of abelian equivalence and complexity of infinite words. (English) Zbl 1278.05009 J. Comb. Theory, Ser. A 120, No. 8, 2189-2206 (2013). MSC: 05A05 68R15 PDF BibTeX XML Cite \textit{J. Karhumaki} et al., J. Comb. Theory, Ser. A 120, No. 8, 2189--2206 (2013; Zbl 1278.05009) Full Text: DOI arXiv
Peltomäki, Jarkko Introducing privileged words: privileged complexity of Sturmian words. (English) Zbl 1296.68119 Theor. Comput. Sci. 500, 57-67 (2013). MSC: 68R15 PDF BibTeX XML Cite \textit{J. Peltomäki}, Theor. Comput. Sci. 500, 57--67 (2013; Zbl 1296.68119) Full Text: DOI arXiv
Masáková, Zuzana; Pelantová, Edita Enumerating abelian returns to prefixes of Sturmian words. (English) Zbl 1398.68420 Karhumäki, Juhani (ed.) et al., Combinatorics on words. 9th international conference, WORDS 2013, Turku, Finland, September 16–20. Proceedings. Berlin: Springer (ISBN 978-3-642-40578-5/pbk). Lecture Notes in Computer Science 8079, 193-204 (2013). MSC: 68R15 PDF BibTeX XML Cite \textit{Z. Masáková} and \textit{E. Pelantová}, Lect. Notes Comput. Sci. 8079, 193--204 (2013; Zbl 1398.68420) Full Text: DOI arXiv
Morris, Ian D.; Sidorov, Nikita On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices. (English) Zbl 1329.15030 J. Eur. Math. Soc. (JEMS) 15, No. 5, 1747-1782 (2013). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A18 15A60 37B10 65K10 68R15 PDF BibTeX XML Cite \textit{I. D. Morris} and \textit{N. Sidorov}, J. Eur. Math. Soc. (JEMS) 15, No. 5, 1747--1782 (2013; Zbl 1329.15030) Full Text: DOI arXiv
Noll, Thomas; Montiel, Mariana Glarean’s dodecachordon revisited. (English) Zbl 1270.00032 Yust, Jason (ed.) et al., Mathematics and computation in music. 4th international conference, MCM 2013, Montreal, QC, Canada, June 12–14, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-39356-3/pbk). Lecture Notes in Computer Science 7937. Lecture Notes in Artificial Intelligence, 151-166 (2013). MSC: 00A65 05E18 PDF BibTeX XML Cite \textit{T. Noll} and \textit{M. Montiel}, Lect. Notes Comput. Sci. 7937, 151--166 (2013; Zbl 1270.00032) Full Text: DOI
Callender, Clifton Sturmian canons. (English) Zbl 1270.00027 Yust, Jason (ed.) et al., Mathematics and computation in music. 4th international conference, MCM 2013, Montreal, QC, Canada, June 12–14, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-39356-3/pbk). Lecture Notes in Computer Science 7937. Lecture Notes in Artificial Intelligence, 64-75 (2013). MSC: 00A65 68R15 PDF BibTeX XML Cite \textit{C. Callender}, Lect. Notes Comput. Sci. 7937, 64--75 (2013; Zbl 1270.00027) Full Text: DOI