Hartono, Yusuf; Kraaikamp, Cor; Langeveld, Niels; Merriman, Claire Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients. (English) Zbl 1518.28012 Discrete Contin. Dyn. Syst. 43, No. 8, 2852-2888 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28D05 11K50 PDFBibTeX XMLCite \textit{Y. Hartono} et al., Discrete Contin. Dyn. Syst. 43, No. 8, 2852--2888 (2023; Zbl 1518.28012) Full Text: DOI arXiv
Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. Continuity of entropy for all \(\alpha\)-deformations of an infinite class of continued fraction transformations. arXiv:2303.09708 Preprint, arXiv:2303.09708 [math.DS] (2023). MSC: 11K50 37A10 37E05 28D20 37D40 BibTeX Cite \textit{K. Calta} et al., ``Continuity of entropy for all $\alpha$-deformations of an infinite class of continued fraction transformations'', Preprint, arXiv:2303.09708 [math.DS] (2023) Full Text: arXiv OA License
Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. Proofs of ergodicity of piecewise Möbius interval maps using planar extensions. arXiv:2208.03807 Preprint, arXiv:2208.03807 [math.DS] (2022). MSC: 37A25 11K50 37A10 37A44 BibTeX Cite \textit{K. Calta} et al., ``Proofs of ergodicity of piecewise M\"obius interval maps using planar extensions'', Preprint, arXiv:2208.03807 [math.DS] (2022) Full Text: arXiv OA License
Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. Synchronization is full measure for all \(\alpha\)-deformations of an infinite class of continued fractions. (English) Zbl 1475.37009 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 3, 951-1008 (2020). MSC: 37A44 37A05 37E05 11K50 20H10 PDFBibTeX XMLCite \textit{K. Calta} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 3, 951--1008 (2020; Zbl 1475.37009) Full Text: DOI arXiv
Bruin, Henk; Fokkink, Robbert; Kraaikamp, Cor Erratum to: “The convergence of the generalised Selmer algorithm”. (English) Zbl 1440.11145 Isr. J. Math. 231, No. 1, 505 (2019). MSC: 11K50 11K55 37A25 28D05 PDFBibTeX XMLCite \textit{H. Bruin} et al., Isr. J. Math. 231, No. 1, 505 (2019; Zbl 1440.11145) Full Text: DOI
Kraaikamp, Cor; Langeveld, Niels Invariant measures for continued fraction algorithms with finitely many digits. (English) Zbl 1366.65002 J. Math. Anal. Appl. 454, No. 1, 106-126 (2017). MSC: 11K50 40A15 PDFBibTeX XMLCite \textit{C. Kraaikamp} and \textit{N. Langeveld}, J. Math. Anal. Appl. 454, No. 1, 106--126 (2017; Zbl 1366.65002) Full Text: DOI arXiv Link
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
Dajani, Karma; Kraaikamp, Cor; Langeveld, Niels Daniël Simon Continued fraction expansions with variable numerators. (English) Zbl 1321.28028 Ramanujan J. 37, No. 3, 617-639 (2015). MSC: 28D05 11K50 PDFBibTeX XMLCite \textit{K. Dajani} et al., Ramanujan J. 37, No. 3, 617--639 (2015; Zbl 1321.28028) Full Text: DOI Link
Dajani, Karma; Kraaikamp, Cor; van der Wekken, Niels Ergodicity of \(N\)-continued fraction expansions. (English) Zbl 1325.11066 J. Number Theory 133, No. 9, 3183-3204 (2013). Reviewer: Tonko Tonkov (Sofia) MSC: 11J70 11K60 37A45 PDFBibTeX XMLCite \textit{K. Dajani} et al., J. Number Theory 133, No. 9, 3183--3204 (2013; Zbl 1325.11066) Full Text: DOI
Kraaikamp, Cor; Schmidt, Thomas A.; Steiner, Wolfgang Natural extensions and entropy of \(\alpha \)-continued fractions. (English) Zbl 1333.11079 Nonlinearity 25, No. 8, 2207-2243 (2012). Reviewer: Simon Kristensen (Aarhus) MSC: 11K50 37A10 37A35 37A05 PDFBibTeX XMLCite \textit{C. Kraaikamp} et al., Nonlinearity 25, No. 8, 2207--2243 (2012; Zbl 1333.11079) Full Text: DOI arXiv
Dajani, K.; Hensley, D.; Kraaikamp, C.; Masarotto, V. Arithmetic and ergodic properties of ‘flipped’ continued fraction algorithms. (English) Zbl 1246.28010 Acta Arith. 153, No. 1, 51-79 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 28D05 11K50 PDFBibTeX XMLCite \textit{K. Dajani} et al., Acta Arith. 153, No. 1, 51--79 (2012; Zbl 1246.28010) Full Text: DOI Link
Kraaikamp, Cornelis; Smeets, Ionica Sharp bounds for symmetric and asymmetric Diophantine approximation. (English) Zbl 1218.28009 Chin. Ann. Math., Ser. B 32, No. 2, 303-320 (2011). MSC: 28D05 11K50 PDFBibTeX XMLCite \textit{C. Kraaikamp} and \textit{I. Smeets}, Chin. Ann. Math., Ser. B 32, No. 2, 303--320 (2011; Zbl 1218.28009) Full Text: DOI arXiv
Kraaikamp, Cor; Smeets, Ionica Approximation results for \(\alpha\)-Rosen fractions. (English) Zbl 1249.11083 Unif. Distrib. Theory 5, No. 2, 15-53 (2010). Reviewer: Elena Zhabitskaya (Moscow) MSC: 11K50 28D05 PDFBibTeX XMLCite \textit{C. Kraaikamp} and \textit{I. Smeets}, Unif. Distrib. Theory 5, No. 2, 15--53 (2010; Zbl 1249.11083) Full Text: arXiv
Iosifescu, Marius; Kraaikamp, Cor A rough guide to the metrical theory of continued fractions. (English) Zbl 1224.11067 Beznea, Lucian (ed.) et al., Proceedings of the sixth congress of Romanian Mathematicians, Bucharest, Romania, June 28–July 4, 2007. Vol. 1: Scientific contributions. Bucharest: Editura Academiei Române (ISBN 978-973-27-1781-3/v.1; 978-973-27-1780-6/set). 467-475 (2009). Reviewer: Takao Komatsu (Hirosaki) MSC: 11K55 PDFBibTeX XMLCite \textit{M. Iosifescu} and \textit{C. Kraaikamp}, in: Proceedings of the sixth congress of Romanian Mathematicians, Bucharest, Romania, June 28--July 4, 2007. Vol. 1: Scientific contributions. Bucharest: Editura Academiei Române. 467--475 (2009; Zbl 1224.11067)
Dajani, Karma; Kraaikamp, Cor; Steiner, Wolfgang Metrical theory for \(\alpha \)-Rosen fractions. (English) Zbl 1184.28016 J. Eur. Math. Soc. (JEMS) 11, No. 6, 1259-1283 (2009). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 28D05 11K55 PDFBibTeX XMLCite \textit{K. Dajani} et al., J. Eur. Math. Soc. (JEMS) 11, No. 6, 1259--1283 (2009; Zbl 1184.28016) Full Text: DOI arXiv Link
Dajani, Karma; Hartono, Yusuf; Kraaikamp, Cor Mixing properties of \((\alpha , \beta )\)-expansions. (English) Zbl 1180.37050 Ergodic Theory Dyn. Syst. 29, No. 4, 1119-1140 (2009). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37A35 PDFBibTeX XMLCite \textit{K. Dajani} et al., Ergodic Theory Dyn. Syst. 29, No. 4, 1119--1140 (2009; Zbl 1180.37050) Full Text: DOI
Bosma, Wieb; Dajani, Karma; Kraaikamp, Cor Entropy quotients and correct digits in number-theoretic expansions. (English) Zbl 1128.11039 Denteneer, Dee (ed.) et al., Dynamics and stochastics. Festschrift in honor of M. S. Keane. Selected papers based on the presentations at the conference ‘Dynamical systems, probability theory, and statistical mechanics’, Eindhoven, The Netherlands, January 3–7, 2005, on the occasion of the 65th birthday of Mike S. Keane. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-64-1/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 48, 176-188 (2006). Reviewer: Thomas Ward (Norwich) MSC: 11K55 28D20 11K16 PDFBibTeX XMLCite \textit{W. Bosma} et al., IMS Lect. Notes, Monogr. Ser. 48, 176--188 (2006; Zbl 1128.11039) Full Text: DOI arXiv
Dajani, Karma; Kraaikamp, Cor; Liardet, Pierre Ergodic properties of signed binary expansions. (English) Zbl 1115.37007 Discrete Contin. Dyn. Syst. 15, No. 1, 87-119 (2006). Reviewer: Peter Raith (Wien) MSC: 37A45 11K55 37A30 PDFBibTeX XMLCite \textit{K. Dajani} et al., Discrete Contin. Dyn. Syst. 15, No. 1, 87--119 (2006; Zbl 1115.37007) Full Text: DOI
Iosifescu, M.; Kraaikamp, C. A three-dimensional probability distribution in the metrical theory of continued fractions. (English) Zbl 1138.11032 J. Eur. Math. Soc. (JEMS) 6, No. 2, 181-192 (2004). Reviewer: Takao Komatsu (Hirosaki) MSC: 11K50 37A45 11A55 62H05 PDFBibTeX XMLCite \textit{M. Iosifescu} and \textit{C. Kraaikamp}, J. Eur. Math. Soc. (JEMS) 6, No. 2, 181--192 (2004; Zbl 1138.11032) Full Text: DOI Link
Hartono, Y.; Kraaikamp, C. Tong’s spectrum for semi-regular continued fraction expansions. (English) Zbl 1091.11029 Far East J. Math. Sci. (FJMS) 13, No. 2, 137-165 (2004). Reviewer: Karma Dajani (Utrecht) MSC: 11K55 28D05 11K50 PDFBibTeX XMLCite \textit{Y. Hartono} and \textit{C. Kraaikamp}, Far East J. Math. Sci. (FJMS) 13, No. 2, 137--165 (2004; Zbl 1091.11029)
Kraaikamp, Cor; Wu, Jun On a new continued fraction expansion with non-decreasing partial quotients. (English) Zbl 1072.11061 Monatsh. Math. 143, No. 4, 285-298 (2004). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 11K55 PDFBibTeX XMLCite \textit{C. Kraaikamp} and \textit{J. Wu}, Monatsh. Math. 143, No. 4, 285--298 (2004; Zbl 1072.11061) Full Text: DOI
Iosifescu, M.; Kraaikamp, C. On Denjoy’s canonical continued fraction expansion. (English) Zbl 1046.11052 Osaka J. Math. 40, No. 1, 235-244 (2003). Reviewer: Karma Dajani (Utrecht) MSC: 11K50 11J70 28D05 PDFBibTeX XMLCite \textit{M. Iosifescu} and \textit{C. Kraaikamp}, Osaka J. Math. 40, No. 1, 235--244 (2003; Zbl 1046.11052) Full Text: Euclid
Hartono, Yusuf; Kraaikamp, Cor On continued fractions with odd partial quotients. (English) Zbl 1053.11069 Rev. Roum. Math. Pures Appl. 47, No. 1, 43-62 (2002). MSC: 11K55 28D05 PDFBibTeX XMLCite \textit{Y. Hartono} and \textit{C. Kraaikamp}, Rev. Roum. Math. Pures Appl. 47, No. 1, 43--62 (2002; Zbl 1053.11069)
Iosifescu, Marius; Kraaikamp, Cor Metrical theory of continued fractions. (English) Zbl 1122.11047 Mathematics and its Applications (Dordrecht) 547. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0892-9/hbk). xx, 383 p. (2002). Reviewer: Simon Kristensen (Aarhus) MSC: 11K50 11-02 28D05 60Fxx PDFBibTeX XMLCite \textit{M. Iosifescu} and \textit{C. Kraaikamp}, Metrical theory of continued fractions. Dordrecht: Kluwer Academic Publishers (2002; Zbl 1122.11047)
Dajani, Karma; Kraaikamp, Cor From greedy to lazy expansions and their driving dynamics. (English) Zbl 1030.11035 Expo. Math. 20, No. 4, 315-327 (2002). Reviewer: Thomas Ward (Norwich) MSC: 11K55 37A45 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, Expo. Math. 20, No. 4, 315--327 (2002; Zbl 1030.11035) Full Text: DOI
Dajani, Karma; Kraaikamp, Cor Ergodic theory of numbers. (English) Zbl 1033.11040 The Carus Mathematical Monographs 29. Washington, DC: Mathematical Association of America (MAA) (ISBN 0-88385-034-6/hbk). x, 190 p. (2002). Reviewer: Takao Komatsu (Hirosaki) MSC: 11K50 11-02 11K55 37A45 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, Ergodic theory of numbers. Washington, DC: Mathematical Association of America (MAA) (2002; Zbl 1033.11040)
Dajani, Karma; Kraaikamp, Cor The mother of all continued fractions. (English) Zbl 0961.11027 Colloq. Math. 84-85, Pt. 1, 109-123 (2000). Reviewer: Thomas Ward (Norwich) MSC: 11K55 11A55 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, Colloq. Math. 84--85, Part 1, 109--123 (2000; Zbl 0961.11027) Full Text: DOI EuDML
Dajani, Karma; Kraaikamp, Cor A Gauss-Kusmin theorem for optimal continued fractions. (English) Zbl 0921.11040 Trans. Am. Math. Soc. 351, No. 5, 2055-2079 (1999). Reviewer: Takao Komatsu (Tsu) MSC: 11K50 28D05 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, Trans. Am. Math. Soc. 351, No. 5, 2055--2079 (1999; Zbl 0921.11040) Full Text: DOI
Dajani, Karma; Kraaikamp, Cor A note on the approximation by continued fractions under an extra condition. (English) Zbl 0902.11031 New York J. Math. 3A, 69-80 (1998). Reviewer: P.Liardet (Marseille) MSC: 11K50 28D20 11K55 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, New York J. Math. 3A, 69--80 (1998; Zbl 0902.11031) Full Text: EuDML EMIS
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
Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor Ergodic properties of generalized Lüroth series. (English) Zbl 0848.11039 Acta Arith. 74, No. 4, 311-327 (1996). Reviewer: T.Šalát (Bratislava) MSC: 11K55 28D05 PDFBibTeX XMLCite \textit{J. Barrionuevo} et al., Acta Arith. 74, No. 4, 311--327 (1996; Zbl 0848.11039) Full Text: DOI EuDML
Dajani, K.; Kraaikamp, C.; Solomyak, B. The natural extension of the \(\beta\)-transformation. (English) Zbl 0931.28014 Acta Math. Hung. 73, No. 1-2, 97-109 (1996). Reviewer: Zoltán Boros (Debrecen) MSC: 28D05 11K16 11K06 PDFBibTeX XMLCite \textit{K. Dajani} et al., Acta Math. Hung. 73, No. 1--2, 97--109 (1996; Zbl 0931.28014) Full Text: DOI
Dajani, Karma; Kraaikamp, Cor On approximation by Lüroth series. (English) Zbl 0870.11039 J. Théor. Nombres Bordx. 8, No. 2, 331-346 (1996). Reviewer: T.Šalát (Bratislava) MSC: 11J70 11K55 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, J. Théor. Nombres Bordx. 8, No. 2, 331--346 (1996; Zbl 0870.11039) Full Text: DOI Numdam EuDML EMIS
Dajani, Karma; Kraaikamp, Cor Generalization of a theorem of Kusmin. (English) Zbl 0819.11028 Monatsh. Math. 118, No. 1-2, 55-73 (1994). Reviewer: P.Szüsz (Glen/NH) MSC: 11K55 28D05 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{C. Kraaikamp}, Monatsh. Math. 118, No. 1--2, 55--73 (1994; Zbl 0819.11028) Full Text: DOI EuDML
Kraaikamp, Cornelis Maximal \(S\)-expansions are Bernoulli shifts. (English) Zbl 0795.11030 Bull. Soc. Math. Fr. 121, No. 1, 117-131 (1993). Reviewer: P.Liardet (Marseille) MSC: 11K50 28D05 PDFBibTeX XMLCite \textit{C. Kraaikamp}, Bull. Soc. Math. Fr. 121, No. 1, 117--131 (1993; Zbl 0795.11030) Full Text: DOI Numdam EuDML
Bosma, Wieb; Kraaikamp, Cor Metrical theory for optimal continued fractions. (English) Zbl 0697.10043 J. Number Theory 34, No. 3, 251-270 (1990). Reviewer: G.Larcher MSC: 11K16 11J70 28D99 PDFBibTeX XMLCite \textit{W. Bosma} and \textit{C. Kraaikamp}, J. Number Theory 34, No. 3, 251--270 (1990; Zbl 0697.10043) Full Text: DOI