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Gheeraert, France; Romana, Giuseppe; Stipulanti, Manon

String attractors of fixed points of \(k\)-bonacci-like morphisms. (English) Zbl 07716991

Frid, Anna (ed.) et al., Combinatorics on words. 14th international conference, WORDS 2023, Umeå, Sweden, June 12–16, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13899, 192-205 (2023).

MSC: 68R15

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Charlier, Émilie

Alternate base numeration systems. (English) Zbl 1536.11022

Frid, Anna (ed.) et al., Combinatorics on words. 14th international conference, WORDS 2023, Umeå, Sweden, June 12–16, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13899, 14-34 (2023).

MSC: 11A67 37B45 68Q45

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Charlier, Émilie; Cisternino, Célia; Stipulanti, Manon

A full characterization of Bertrand numeration systems. (English) Zbl 1535.11014

Diekert, Volker (ed.) et al., Developments in language theory. 26th international conference, DLT 2022, Tampa, FL, USA, May 9–13, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13257, 102-114 (2022).

MSC: 11A67 68Q45

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Charlier, É.; Massuir, A.; Rigo, M.; Rowland, E.

Ultimate periodicity problem for linear numeration systems. (English) Zbl 07525093

Int. J. Algebra Comput. 32, No. 3, 561-596 (2022).

MSC: 68Q45 11U05 11B85 11S85

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Massuir, Adeline; Peltomäki, Jarkko; Rigo, Michel

Automatic sequences based on Parry or Bertrand numeration systems. (English) Zbl 1458.11055

Adv. Appl. Math. 108, 11-30 (2019).

Reviewer: Jean-Paul Allouche (Paris)

MSC: 11B85 68R15 68Q45

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Charlier, Émilie

First-order logic and numeration systems. (English) Zbl 1486.03055

Berthé, Valérie (ed.) et al., Sequences, groups, and number theory. Cham: Birkhäuser. Trends Math., 89-141 (2018).

MSC: 03C07 03C62 03D05

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Ben-Ari, Iddo; Miller, Steven J.

A probabilistic approach to generalized Zeckendorf decompositions. (English) Zbl 1372.11013

SIAM J. Discrete Math. 30, No. 2, 1302-1332 (2016).

MSC: 11B39 11B05 65Q30 60B10 60J20

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Ni, Tianjia; Wen, Zhiying

The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS. (English) Zbl 1261.11026

Discrete Appl. Math. 157, No. 18, 3728-3742 (2009).

Reviewer: Jean-Paul Allouche (Paris)

MSC: 11B83 28A80 68Q80

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Bell, Jason; Charlier, Emilie; Fraenkel, Aviezri S.; Rigo, Michel

A decision problem for ultimately periodic sets in nonstandard numeration systems. (English) Zbl 1194.68131

Int. J. Algebra Comput. 19, No. 6, 809-839 (2009).

MSC: 68Q45 11U05 11B85 11S85

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Charlier, Emilie; Rigo, Michel

A decision problem for ultimately periodic sets in non-standard numeration systems. (English) Zbl 1173.68548

Ochmański, Edward (ed.) et al., Mathematical foundations of computer science 2008. 33rd international symposium, MFCS 2008, Toruń Poland, August 25–29, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85237-7/pbk). Lecture Notes in Computer Science 5162, 241-252 (2008).

MSC: 68Q45 11A67

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Allouche, J.-P.; Shallit, J.; Skordev, G.

Self-generating sets, integers with missing blocks, and substitutions. (English) Zbl 1117.11020

Discrete Math. 292, No. 1-3, 1-15 (2005).

MSC: 11B85 68R15 11A63

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Lecomte, P.; Rigo, M.

Real numbers having ultimately periodic representations in abstract numeration systems. (English) Zbl 1055.11005

Inf. Comput. 192, No. 1, 57-83 (2004).

Reviewer: Jean-Paul Allouche (Orsay)

MSC: 11A63 68Q45 68R15

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Gjini, N.

Beta-expansion of 1 for quartic Pisot units. (English) Zbl 1047.11101

Period. Math. Hung. 47, No. 1-2, 73-87 (2003).

MSC: 11R06 37B10

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Frougny, Christiane

On multiplicatively dependent linear numeration systems, and periodic points. (English) Zbl 1044.11004

Theor. Inform. Appl. 36, No. 3, 293-314 (2002).

Reviewer: Jean-Paul Allouche (Orsay)

MSC: 11A67 68Q45 37B10 68R15 11R06

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Rigo, Michel

Numeration systems on a regular language: Arithmetic operations, recognizability and formal power series. (English) Zbl 0983.68101

Theor. Comput. Sci. 269, No. 1-2, 469-498 (2001).

MSC: 68Q45

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Rigo, Michel

Generalization of automatic sequences for numeration systems on a regular language. (English) Zbl 0945.68105

Theor. Comput. Sci. 244, No. 1-2, 271-281 (2000).

MSC: 68Q45

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Found 16 Documents (Results 1–16)

String attractors of fixed points of \(k\)-bonacci-like morphisms. (English) Zbl 07716991

Alternate base numeration systems. (English) Zbl 1536.11022

A full characterization of Bertrand numeration systems. (English) Zbl 1535.11014

Ultimate periodicity problem for linear numeration systems. (English) Zbl 07525093

Automatic sequences based on Parry or Bertrand numeration systems. (English) Zbl 1458.11055

First-order logic and numeration systems. (English) Zbl 1486.03055

A probabilistic approach to generalized Zeckendorf decompositions. (English) Zbl 1372.11013

The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS. (English) Zbl 1261.11026

A decision problem for ultimately periodic sets in nonstandard numeration systems. (English) Zbl 1194.68131

A decision problem for ultimately periodic sets in non-standard numeration systems. (English) Zbl 1173.68548

Self-generating sets, integers with missing blocks, and substitutions. (English) Zbl 1117.11020

Real numbers having ultimately periodic representations in abstract numeration systems. (English) Zbl 1055.11005

Beta-expansion of 1 for quartic Pisot units. (English) Zbl 1047.11101

On multiplicatively dependent linear numeration systems, and periodic points. (English) Zbl 1044.11004

Numeration systems on a regular language: Arithmetic operations, recognizability and formal power series. (English) Zbl 0983.68101

Generalization of automatic sequences for numeration systems on a regular language. (English) Zbl 0945.68105

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