Czudek, Klaudiusz Some counterexamples to the central limit theorem for random rotations. (English) Zbl 1517.37012 J. Stat. Phys. 189, No. 1, Paper No. 11, 14 p. (2022). Reviewer: Wasiur Rahman Khuda Bukhsh (Nottingham) MSC: 37A50 37H12 37E10 60F05 11J17 PDFBibTeX XMLCite \textit{K. Czudek}, J. Stat. Phys. 189, No. 1, Paper No. 11, 14 p. (2022; Zbl 1517.37012) Full Text: DOI arXiv
Pollicott, Mark; Urbanski, Mariusz Asymptotic counting in conformal dynamical systems. (English) Zbl 1482.37002 Memoirs of the American Mathematical Society 1327. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6577-3/pbk; 978-1-4704-6632-9/ebook). v, 139 p. (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37-02 37F35 37F10 37F20 37A50 37A44 37B10 37C30 37E25 11N45 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{M. Urbanski}, Asymptotic counting in conformal dynamical systems. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1482.37002) Full Text: DOI arXiv
Zhang, Xuan A Poisson limit theorem for Gibbs-Markov maps. (English) Zbl 1472.37010 Dyn. Syst. 36, No. 1, 88-103 (2021). Reviewer: Fraser Daly (Edinburgh) MSC: 37A50 37A30 37A44 60F05 37A25 11K50 PDFBibTeX XMLCite \textit{X. Zhang}, Dyn. Syst. 36, No. 1, 88--103 (2021; Zbl 1472.37010) Full Text: DOI arXiv
Stadlbauer, Manuel; Zhang, Xuan On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients. (English) Zbl 1467.11074 Nonlinearity 34, No. 3, 1389-1407 (2021). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11K50 60F17 PDFBibTeX XMLCite \textit{M. Stadlbauer} and \textit{X. Zhang}, Nonlinearity 34, No. 3, 1389--1407 (2021; Zbl 1467.11074) Full Text: DOI arXiv
Bazarova, Alina; Berkes, István; Horváth, Lajos On the extremal theory of continued fractions. (English) Zbl 1336.11058 J. Theor. Probab. 29, No. 1, 248-266 (2016). Reviewer: Simon Kristensen (Aarhus) MSC: 11K60 60F05 60G70 PDFBibTeX XMLCite \textit{A. Bazarova} et al., J. Theor. Probab. 29, No. 1, 248--266 (2016; Zbl 1336.11058) Full Text: DOI Link
Cosentino, Salvatore; Flaminio, Livio Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds. (English) Zbl 1353.37055 J. Mod. Dyn. 9, 305-353 (2015). MSC: 37C85 37A17 37A45 11K36 22E25 PDFBibTeX XMLCite \textit{S. Cosentino} and \textit{L. Flaminio}, J. Mod. Dyn. 9, 305--353 (2015; Zbl 1353.37055) Full Text: DOI arXiv
Fang, Lulu; Wu, Min; Shieh, Narn-Rueih; Li, Bing Random continued fractions: Lévy constant and Chernoff-type estimate. (English) Zbl 1322.11011 J. Math. Anal. Appl. 429, No. 1, 513-531 (2015). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 11A55 11J70 11K50 40A15 60G51 60F15 60G10 PDFBibTeX XMLCite \textit{L. Fang} et al., J. Math. Anal. Appl. 429, No. 1, 513--531 (2015; Zbl 1322.11011) Full Text: DOI arXiv
Gordin, M.; Denker, M. Poisson limit for two-dimensional toral automorphism driven by continued fractions. (English. Russian original) Zbl 1335.37009 J. Math. Sci., New York 199, No. 2, 139-149 (2014); translation from Zap. Nauchn. Semin. POMI 408, 131-153 (2012). MSC: 37D20 37C85 37A50 11A55 60F05 PDFBibTeX XMLCite \textit{M. Gordin} and \textit{M. Denker}, J. Math. Sci., New York 199, No. 2, 139--149 (2014; Zbl 1335.37009); translation from Zap. Nauchn. Semin. POMI 408, 131--153 (2012) Full Text: DOI
Fuchs, Michael On a problem of W. J. LeVeque concerning metric Diophantine approximation. (English) Zbl 1027.11049 Trans. Am. Math. Soc. 355, No. 5, 1787-1801 (2003). Reviewer: P.Szüsz (Glen) MSC: 11J83 60F05 PDFBibTeX XMLCite \textit{M. Fuchs}, Trans. Am. Math. Soc. 355, No. 5, 1787--1801 (2003; Zbl 1027.11049) 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
Samur, Jorge D. Some remarks on a probability limit theorem for continued fractions. (English) Zbl 0863.11048 Trans. Am. Math. Soc. 348, No. 4, 1411-1428 (1996). Reviewer: L.Heinrich (Freiberg) MSC: 11K50 60F17 11K60 PDFBibTeX XMLCite \textit{J. D. Samur}, Trans. Am. Math. Soc. 348, No. 4, 1411--1428 (1996; Zbl 0863.11048) Full Text: DOI
Misevičius, G. Estimate of the remainder term in the limit theorem for denominators of continued fractions. (English. Russian original) Zbl 0494.10039 Lith. Math. J. 21, 245-253 (1982); translation from Litov. Mat. Sb. 21, No. 3, 63-74 (1981). Reviewer: Janos Galambos (Philadelphia) MSC: 11K50 11J70 PDFBibTeX XMLCite \textit{G. Misevičius}, Lith. Math. J. 21, 245--253 (1981; Zbl 0494.10039); translation from Litov. Mat. Sb. 21, No. 3, 63--74 (1981) Full Text: DOI
Waterman, Michael S. Remarks on invariant measures for number theoretic transformations. (English) Zbl 0323.60005 Monatsh. Math. 79, 157-163 (1975). MSC: 60B05 11K16 28C10 PDFBibTeX XMLCite \textit{M. S. Waterman}, Monatsh. Math. 79, 157--163 (1975; Zbl 0323.60005) Full Text: DOI EuDML