Found 136 Documents (Results 1–100)
On the independence of greedy expansions of certain algebraic numbers in a Pisot or Salem base. (English) Zbl 07930048
MSC:
11K16
Partitions into powers of an algebraic number. (English) Zbl 07846623
Reviewer: M. P. Chaudhary (New Delhi)
On extended boundary sequences of morphic and Sturmian words. (English) Zbl 1541.68305
Reviewer: Anna Frid (Marseille)
A note on non-periodic greedy expansions in Salem base. (English) Zbl 07801559
Reviewer: Wolfgang Steiner (Paris)
On periodic alternate base expansions. (English) Zbl 1536.11120
Reviewer: Artūras Dubickas (Vilnius)
Transcendence criterion with \((\beta,\mathcal{A})\)-representations in some quadratic integer bases. (English) Zbl 1539.11102
Reviewer: Jaroslav Hančl (Ostrava)
MSC:
11J81
Periodic expansion of one by Salem numbers. (English) Zbl 1531.37027
Reviewer: Christoph Aistleitner (Graz)
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).
Spectrum, algebraicity and normalization in alternate bases. (English) Zbl 1523.11135
Reviewer: Jean-Paul Allouche (Paris)
Zeckendorf representation of multiplicative inverses modulo a Fibonacci number. (English) Zbl 1525.11016
BBP-type formulas – an elementary approach. (English) Zbl 1509.11070
Reviewer: Takao Komatsu (Hangzhou)
Hausdorff dimension of frequency sets in beta-expansions. (English) Zbl 1507.11069
Reviewer: Simon Kristensen (Aarhus)
Transcendental series of reciprocals of Fibonacci and Lucas numbers. (English) Zbl 1511.11068
Reviewer: Clemens Fuchs (Salzburg)
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).
Alphabets, rewriting trails and periodic representations in algebraic bases. (English) Zbl 1483.11015
Reviewer: Jean-Paul Allouche (Paris)
Conjugates of Pisot numbers. (English) Zbl 1489.11108
Reviewer: Simon Baker (Birmingham)
MSC:
11K16
Periodic representations in Salem bases. (English) Zbl 1478.11131
Reviewer: Artūras Dubickas (Vilnius)
Expansions in multiple bases. (English) Zbl 1474.11026
Reviewer: Jean-Paul Allouche (Paris)
On the co-factors of degree 6 Salem number beta expansions. (English) Zbl 1486.11012
Reviewer: Artūras Dubickas (Vilnius)
Representations for complex numbers with integer digits. (English) Zbl 1471.11019
Reviewer: Toufik Zaïmi (Riyadh)
Digit frequencies of beta-expansions. (English) Zbl 1474.11025
Reviewer: Panayiotis Vlamos (Kérkyra)
Substitutive number systems. (English) Zbl 1473.11019
Reviewer: Toufik Zaïmi (Riyadh)
Approximation orders of real numbers by \(\beta\)-expansions. (English) Zbl 1452.11097
Reviewer: Symon Serbenyuk (Kyïv)
Subrecursive neural networks. (English) Zbl 1434.68168
Automatic sequences based on Parry or Bertrand numeration systems. (English) Zbl 1458.11055
Reviewer: Jean-Paul Allouche (Paris)
Convergence of \(\beta\)-modified Jacobi-Perron algorithm over the field of formal power series. (English) Zbl 1424.40014
MSC:
40A15
Beta-expansion and continued fraction expansion of real numbers. (English) Zbl 1448.11150
Reviewer: Michael M. Pahirya (Mukachevo)
Periodic representations in algebraic bases. (English) Zbl 1466.11004
Reviewer: Amin Witno (Amman)
Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions. (English) Zbl 1441.11028
MSC:
11B39
Beta-expansions of rational numbers in quadratic Pisot bases. (English) Zbl 1434.11145
Reviewer: Amin Witno (Amman)
The beta-transformation’s companion map for Pisot or Salem numbers and their periodic orbits. (English) Zbl 1384.37014
Reviewer: Christoph Aistleitner (Graz)
Finite orbits in multivalued maps and Bernoulli convolutions. (English) Zbl 1382.37007
Reviewer: Thomas B. Ward (Leeds)
Finiteness in real real cubic fields. (English) Zbl 1399.11034
Reviewer: Florian Luca (Morelia)
Cut languages in rational bases. (English) Zbl 1485.68146
Drewes, Frank (ed.) et al., Language and automata theory and applications. 11th international conference, LATA 2017, Umeå, Sweden, March 6–9, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10168, 311-322 (2017).
Flow equivalence of sofic beta-shifts. (English) Zbl 1367.37010
MSC:
37B10
37B50
Purely periodic \(\beta \)-expansions with Pisot or Salem unit base in \(\mathbb F_q((X^{-1}))\). (English) Zbl 1347.11077
Reviewer: Władysław Narkiewicz (Wrocław)
Geometrical and spectral properties of Pisot substitutions. (English) Zbl 1356.37012
MSC:
37B05
37B50
Beta-expansions of \(p\)-adic numbers. (English) Zbl 1343.11066
Reviewer: Takao Komatsu (Wuhan)
Dynamical properties of the tent map. (English) Zbl 1360.37041
Reviewer: Steve Pederson (Atlanta)
Pure discrete spectrum for a class of one-dimensional substitution tiling systems. (English) Zbl 1338.37014
The target discounted-sum problem. (English) Zbl 1401.68149
Proceedings of the 2015 30th annual ACM/IEEE symposium on logic in computer science, LICS 2015, Kyoto, Japan, July 6–10, 2015. Los Alamitos, CA: IEEE Computer Society (ISBN 978-1-4799-8875-4). 750-761 (2015).
From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules. (English) Zbl 1335.11063
Reviewer: Yukio Ohkubo (Kagoshima)
Seventy years of Salem numbers. (English) Zbl 1321.11111
Reviewer: Władysław Narkiewicz (Wrocław)
On relations for rings generated by algebraic numbers and their conjugates. (English) Zbl 1317.11105
Reviewer: Władysław Narkiewicz (Wrocław)
Periodic codings of algebraic graph-directed IFS. (English) Zbl 1314.28006
Reviewer: Boris A. Kats (Kazan)
Beta expansion for some particular sequences of Salem numbers. (English) Zbl 1316.11095
Reviewer: Manfred G. Madritsch (Vandœuvre)
Natural extensions for piecewise affine maps via Hofbauer towers. (English) Zbl 1306.37005
Reviewer: Ivan Podvigin (Novosibirsk)
Automatic \(\beta\)-expansions of formal Laurent series over finite fields. (English) Zbl 1357.11034
Reviewer: Francine Blanchet-Sadri (Greensboro)
On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions. (English) Zbl 1299.11052
Reviewer: Christoph Aistleitner (Rokko, Kobe)
Purely periodic expansions in systems with negative base. (English) Zbl 1286.11118
Reviewer: Peter Bundschuh (Köln)
Rational Laurent series with purely periodic \(\beta\)-expansions. (English) Zbl 1347.11075
MSC:
11R06
37B50
Periodicity of \(\beta\)-expansions for certain Pisot units. (English. French summary) Zbl 1360.37103
Dynamical properties of the negative beta-transformation. (English) Zbl 1266.37017
Reviewer: Giovanni Panti (Udine)
Beta-expansions, natural extensions and multiple tilings associated with Pisot units. (English) Zbl 1295.11010
Reviewer: Manfred G. Madritsch (Vandœuvre)
Numeration and discrete dynamical systems. (English) Zbl 1269.11009
Reviewer: Michel Rigo (Liège)
On a class of sofic affine invariant subsets of the 2-torus related to an Erdős problem. (English) Zbl 1268.37032
Reviewer: Bernd O. Stratmann (Bremen)
Number representation using generalized \((-\beta )\)-transformation. (English) Zbl 1270.11007
Reviewer: Wolfgang A. Schmid (Palaiseau)
MSC:
11A63
Finite and periodic orbits of shift radix systems. (English) Zbl 1223.11012
Reviewer: Florin Nicolae (Berlin)
MSC:
11A63
Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems. (English) Zbl 1474.11022
Purely periodic points of complex Pisot expansions. (English) Zbl 1205.11114
Reviewer: Florin Nicolae (Berlin)
On negative bases. (English) Zbl 1247.68139
Diekert, Volker (ed.) et al., Developments in language theory. 13th international conference, DLT 2009, Stuttgart, Germany, June 30–July 3, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-02736-9/pbk). Lecture Notes in Computer Science 5583, 252-263 (2009).
On integer sequences generated by linear maps. (English) Zbl 1196.11034
Reviewer: Chris Smyth (Edinburgh)
Unique expansions of real numbers. (English) Zbl 1166.11007
Reviewer: Takao Komatsu (Hirosaki)
Generalized radix representations and dynamical systems. IV. (English) Zbl 1190.11041
Reviewer: Clemens Heuberger (Graz)
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. (English) Zbl 1190.11005
Reviewer: Takao Komatsu (Hirosaki)
Approximation orders of formal Laurent series by \(\beta\)-expansions. (English) Zbl 1173.11046
Reviewer: Jan Šustek (Ostrava)
Metric properties and exceptional sets of \(\beta \)-expansions over formal Laurent series. (English) Zbl 1153.11043
Reviewer: Giovanni Panti (Udine)
MSC:
11K55
Sumsets of Pisot and Salem numbers. (English) Zbl 1204.11167
MSC:
11R06
Generalized \(\beta\)-expansions, substitution tilings, and local finiteness. (English) Zbl 1138.37010
Reviewer: Geoffrey R. Goodson (Towson)
Beta-expansion and continued fraction expansion. (English) Zbl 1137.11053
Reviewer: Simon Kristensen (Aarhus)
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