Baalbaki, Wael; Bonanno, Claudio; Del Vigna, Alessio; Garrity, Thomas; Isola, Stefano On integer partitions and continued fraction type algorithms. (English) Zbl 07812013 Ramanujan J. 63, No. 3, 873-915 (2024). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 11J70 37E05 PDFBibTeX XMLCite \textit{W. Baalbaki} et al., Ramanujan J. 63, No. 3, 873--915 (2024; Zbl 07812013) Full Text: DOI arXiv
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. Multidimensional continued fractions and symbolic codings of toral translations. (English) Zbl 07774923 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997-5057 (2023). MSC: 37B10 37A30 37A44 11J70 11K50 11A55 11Y65 28A80 PDFBibTeX XMLCite \textit{V. Berthé} et al., J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997--5057 (2023; Zbl 07774923) Full Text: DOI arXiv
Berthé, Valérie; Lee, Jungwon Dynamics of Ostrowski Skew-product. I: Limit laws and Hausdorff dimensions. (English) Zbl 07752627 Trans. Am. Math. Soc. 376, No. 11, 7947-7982 (2023). MSC: 11K60 37C30 PDFBibTeX XMLCite \textit{V. Berthé} and \textit{J. Lee}, Trans. Am. Math. Soc. 376, No. 11, 7947--7982 (2023; Zbl 07752627) Full Text: DOI arXiv
Cassaigne, Julien; Labbé, Sébastien; Leroy, Julien Almost everywhere balanced sequences of complexity \(2n + 1\). (English) Zbl 1509.37016 Mosc. J. Comb. Number Theory 11, No. 4, 287-333 (2022). MSC: 37B10 11J70 37H15 68R15 PDFBibTeX XMLCite \textit{J. Cassaigne} et al., Mosc. J. Comb. Number Theory 11, No. 4, 287--333 (2022; Zbl 1509.37016) Full Text: DOI arXiv
Murru, Nadir; Terracini, Lea Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions. (English) Zbl 1480.11089 Ramanujan J. 56, No. 1, 67-86 (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J61 11J70 12J25 PDFBibTeX XMLCite \textit{N. Murru} and \textit{L. Terracini}, Ramanujan J. 56, No. 1, 67--86 (2021; Zbl 1480.11089) Full Text: DOI arXiv
Fougeron, Charles; Skripchenko, Alexandra Simplicity of spectra for certain multidimensional continued fraction algorithms. (English) Zbl 1477.11138 Monatsh. Math. 194, No. 4, 767-787 (2021). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K55 11J70 37D25 28D05 PDFBibTeX XMLCite \textit{C. Fougeron} and \textit{A. Skripchenko}, Monatsh. Math. 194, No. 4, 767--787 (2021; Zbl 1477.11138) Full Text: DOI arXiv Link
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. On the second Lyapunov exponent of some multidimensional continued fraction algorithms. (English) Zbl 1473.11012 Math. Comput. 90, No. 328, 883-905 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11J70 11K50 37D25 PDFBibTeX XMLCite \textit{V. Berthé} et al., Math. Comput. 90, No. 328, 883--905 (2021; Zbl 1473.11012) Full Text: DOI arXiv
Avila, Artur; Delecroix, Vincent Some monoids of Pisot matrices. (English) Zbl 1445.15016 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 21-30 (2019). MSC: 15A60 37A44 37A30 PDFBibTeX XMLCite \textit{A. Avila} and \textit{V. Delecroix}, Springer Proc. Math. Stat. 285, 21--30 (2019; Zbl 1445.15016) Full Text: DOI arXiv
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) (English. French summary) Zbl 1433.37010 Ann. Inst. Fourier 69, No. 3, 1347-1409 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37B10 37B52 37A46 11K31 11K50 28A80 PDFBibTeX XMLCite \textit{V. Berthé} et al., Ann. Inst. Fourier 69, No. 3, 1347--1409 (2019; Zbl 1433.37010) Full Text: DOI arXiv
Garrity, Thomas; Mcdonald, Peter Generalizing the Minkowski question mark function to a family of multidimensional continued fractions. (English) Zbl 1445.11060 Int. J. Number Theory 14, No. 9, 2473-2516 (2018). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 11K60 26A30 26B05 PDFBibTeX XMLCite \textit{T. Garrity} and \textit{P. Mcdonald}, Int. J. Number Theory 14, No. 9, 2473--2516 (2018; Zbl 1445.11060) Full Text: DOI arXiv
Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte The Brun gcd algorithm in high dimensions is almost always subtractive. (English) Zbl 1427.11143 J. Symb. Comput. 85, 72-107 (2018). MSC: 11Y16 68W40 PDFBibTeX XMLCite \textit{V. Berthé} et al., J. Symb. Comput. 85, 72--107 (2018; Zbl 1427.11143) Full Text: DOI
Labbé, Sébastien; Leroy, Julien Bispecial factors in the Brun \(S\)-adic system. (English) Zbl 1436.68180 Brlek, Srečko (ed.) et al., Developments in language theory. 20th international conference, DLT 2016, Montréal, Canada, July 25–28, 2016. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 9840, 280-292 (2016). MSC: 68Q45 68R15 PDFBibTeX XMLCite \textit{S. Labbé} and \textit{J. Leroy}, Lect. Notes Comput. Sci. 9840, 280--292 (2016; Zbl 1436.68180) Full Text: DOI
Bruin, Henk; Fokkink, Robbert; Kraaikamp, Cor The convergence of the generalised Selmer algorithm. (English) Zbl 1332.11072 Isr. J. Math. 209, Part 2, 803-823 (2015); erratum ibid. 231, No. 1, 505 (2019). Reviewer: Enrico Zoli (Firenze) MSC: 11K50 11K55 37A25 28D05 PDFBibTeX XMLCite \textit{H. Bruin} et al., Isr. J. Math. 209, Part 2, 803--823 (2015; Zbl 1332.11072) Full Text: DOI
Dasaratha, Krishna; Flapan, Laure; Garrity, Thomas; Lee, Chansoo; Mihaila, Cornelia; Neumann-Chun, Nicholas; Peluse, Sarah; Stoffregen, Matthew A generalized family of multidimensional continued fractions: TRIP maps. (English) Zbl 1378.11074 Int. J. Number Theory 10, No. 8, 2151-2186 (2014). MSC: 11J70 11A55 PDFBibTeX XMLCite \textit{K. Dasaratha} et al., Int. J. Number Theory 10, No. 8, 2151--2186 (2014; Zbl 1378.11074) Full Text: DOI arXiv
Dasaratha, Krishna; Flapan, Laure; Garrity, Thomas; Lee, Chansoo; Mihaila, Cornelia; Neumann-Chun, Nicholas; Peluse, Sarah; Stoffregen, Matthew Cubic irrationals and periodicity via a family of multi-dimensional continued fraction algorithms. (English) Zbl 1305.11060 Monatsh. Math. 174, No. 4, 549-566 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J70 11A55 PDFBibTeX XMLCite \textit{K. Dasaratha} et al., Monatsh. Math. 174, No. 4, 549--566 (2014; Zbl 1305.11060) Full Text: DOI arXiv
Adam, Brigitte; Rhin, Georges Periodic Jacobi-Perron expansions associated with a unit. (English. French summary) Zbl 1270.11068 J. Théor. Nombres Bordx. 23, No. 3, 527-539 (2011). Reviewer: Claude Levesque (Québec) MSC: 11J70 11K50 11A55 11R27 PDFBibTeX XMLCite \textit{B. Adam} and \textit{G. Rhin}, J. Théor. Nombres Bordx. 23, No. 3, 527--539 (2011; Zbl 1270.11068) Full Text: DOI Numdam EuDML
Schweiger, Fritz A note on Lyapunov theory for Brun algorithm. (English) Zbl 1197.11097 Schlickewei, Hans Peter et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 371-379 (2008). Reviewer: Ahmet Tekcan (Bursa) MSC: 11K55 11J70 PDFBibTeX XMLCite \textit{F. Schweiger}, Dev. Math. 16, 371--379 (2008; Zbl 1197.11097) Full Text: DOI
Tourigny, Yves; Smart, Nigel P. A multidimensional continued fraction based on a high-order recurrence relation. (English) Zbl 1201.11072 Math. Comput. 76, No. 260, 1995-2022 (2007). MSC: 11J13 11J70 PDFBibTeX XMLCite \textit{Y. Tourigny} and \textit{N. P. Smart}, Math. Comput. 76, No. 260, 1995--2022 (2007; Zbl 1201.11072) Full Text: DOI
Schweiger, F. What do continued fractions accomplish? (Was leisten mehrdimensionale Kettenbrüche?) (German) Zbl 1171.11302 Math. Semesterber. 53, No. 2, 231-244 (2006). MSC: 11A55 11J70 11J13 PDFBibTeX XMLCite \textit{F. Schweiger}, Math. Semesterber. 53, No. 2, 231--244 (2006; Zbl 1171.11302) Full Text: DOI
Hardcastle, D. M. The three-dimensional Gauss algorithm is strongly convergent almost everywhere. (English) Zbl 1022.11034 Exp. Math. 11, No. 1, 131-141 (2002). Reviewer: M.Ohtsuki (Kodaira) MSC: 11J70 11K50 PDFBibTeX XMLCite \textit{D. M. Hardcastle}, Exp. Math. 11, No. 1, 131--141 (2002; Zbl 1022.11034) Full Text: DOI Euclid EuDML
Hardcastle, D. M.; Khanin, K. The \(d\)-dimensional Gauss transformation: Strong convergence and Lyapunov exponents. (English) Zbl 1029.11037 Exp. Math. 11, No. 1, 119-129 (2002). Reviewer: Takao Komatsu (Tsu) MSC: 11J70 11K50 PDFBibTeX XMLCite \textit{D. M. Hardcastle} and \textit{K. Khanin}, Exp. Math. 11, No. 1, 119--129 (2002; Zbl 1029.11037) Full Text: DOI EuDML
Nakaishi, Kentaro Exponentially strong convergence of non-classical multidimensional continued fraction algorithms. (English) Zbl 1062.11046 Stoch. Dyn. 2, No. 4, 563-586 (2002). Reviewer: Olaf Ninnemann (Berlin) MSC: 11J70 11K50 28D05 PDFBibTeX XMLCite \textit{K. Nakaishi}, Stoch. Dyn. 2, No. 4, 563--586 (2002; Zbl 1062.11046) Full Text: DOI
Broise-Alamichel, Anne; Guivarc’h, Yves Exposants caractéristiques de l’algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map). (French) Zbl 1012.11060 Ann. Inst. Fourier 51, No. 3, 565-686 (2001). Reviewer: Valérie Berthé (Marseille) MSC: 11J70 11K50 37H15 11J13 PDFBibTeX XMLCite \textit{A. Broise-Alamichel} and \textit{Y. Guivarc'h}, Ann. Inst. Fourier 51, No. 3, 565--686 (2001; Zbl 1012.11060) Full Text: DOI Numdam EuDML
Kraaikamp, Cor; Meester, Ronald Convergence of continued fraction type algorithms and generators. (English) Zbl 0901.11025 Monatsh. Math. 125, No. 1, 1-14 (1998). Reviewer: P.Liardet (Marseille) MSC: 11J70 11K50 28D05 PDFBibTeX XMLCite \textit{C. Kraaikamp} and \textit{R. Meester}, Monatsh. Math. 125, No. 1, 1--14 (1998; Zbl 0901.11025) Full Text: DOI EuDML
Tompaidis, Stathis Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map. (English) Zbl 0868.58038 Exp. Math. 5, No. 3, 211-230 (1996). Reviewer: M.Puta (Timişoara) MSC: 37J99 PDFBibTeX XMLCite \textit{S. Tompaidis}, Exp. Math. 5, No. 3, 211--230 (1996; Zbl 0868.58038) Full Text: DOI Euclid EuDML EMIS
Yuri, Michiko Multi-dimensional maps with infinite invariant measures and countable state sofic shifts. (English) Zbl 0844.58048 Indag. Math., New Ser. 6, No. 3, 355-383 (1995). Reviewer: M.Sears (Johannesburg) MSC: 37A99 28D05 37E99 PDFBibTeX XMLCite \textit{M. Yuri}, Indag. Math., New Ser. 6, No. 3, 355--383 (1995; Zbl 0844.58048) Full Text: DOI