Szewczak, Zbigniew; Weber, Michel Classical and almost sure local limit theorems. (English) Zbl 07800604 Diss. Math. 589, 1-97 (2023). MSC: 60-02 60F05 11K50 60F15 60G50 60J05 PDFBibTeX XMLCite \textit{Z. Szewczak} and \textit{M. Weber}, Diss. Math. 589, 1--97 (2023; Zbl 07800604) Full Text: DOI arXiv
Bettin, Sandro; Drappeau, Sary Limit laws for rational continued fractions and value distribution of quantum modular forms. (English) Zbl 07740421 Proc. Lond. Math. Soc. (3) 125, No. 6, 1377-1425 (2022). MSC: 11A55 37C30 11F03 11F67 60F05 PDFBibTeX XMLCite \textit{S. Bettin} and \textit{S. Drappeau}, Proc. Lond. Math. Soc. (3) 125, No. 6, 1377--1425 (2022; Zbl 07740421) Full Text: DOI arXiv OA License
Szewczak, Zbigniew S. On Kolmogorov’s converse inequality for dependent random variables. (English) Zbl 1470.60073 Stochastic Anal. Appl. 39, No. 3, 483-493 (2021). MSC: 60E15 60F15 PDFBibTeX XMLCite \textit{Z. S. Szewczak}, Stochastic Anal. Appl. 39, No. 3, 483--493 (2021; Zbl 1470.60073) Full Text: DOI
Giuliano, Rita; Hadjikyriakou, Milto Convergence for weighted sums of Lüroth type random variables. (English) Zbl 1470.60076 J. Math. Anal. Appl. 502, No. 2, Article ID 125263, 36 p. (2021). MSC: 60F05 11K55 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, J. Math. Anal. Appl. 502, No. 2, Article ID 125263, 36 p. (2021; Zbl 1470.60076) 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
Szewczak, Z. S. Marcinkiewicz laws with infinite moments. (English) Zbl 1274.60076 Acta Math. Hung. 127, No. 1-2, 64-84 (2010). MSC: 60F05 60F10 PDFBibTeX XMLCite \textit{Z. S. Szewczak}, Acta Math. Hung. 127, No. 1--2, 64--84 (2010; Zbl 1274.60076) Full Text: DOI
Szewczak, Zbigniew S. A local limit theorem for continued fractions. (English) Zbl 1209.60022 Stoch. Dyn. 10, No. 3, 429-439 (2010). Reviewer: Tae Il. Jeon (Taejon) MSC: 60F99 11K50 PDFBibTeX XMLCite \textit{Z. S. Szewczak}, Stoch. Dyn. 10, No. 3, 429--439 (2010; Zbl 1209.60022) Full Text: DOI
Tyran-Kamińska, Marta Weak convergence to Lévy stable processes in dynamical systems. (English) Zbl 1206.60047 Stoch. Dyn. 10, No. 2, 263-289 (2010). Reviewer: Victoria Knopova (Kiev) MSC: 60G51 28D05 37A50 60F05 60F17 60G52 PDFBibTeX XMLCite \textit{M. Tyran-Kamińska}, Stoch. Dyn. 10, No. 2, 263--289 (2010; Zbl 1206.60047) Full Text: DOI
Gouëzel, Sébastien Central limit theorem and stable laws for intermittent maps. (English) Zbl 1038.37007 Probab. Theory Relat. Fields 128, No. 1, 82-122 (2004). Reviewer: Makoto Mori (Tokyo) MSC: 37A30 37A50 37C30 37E05 60F05 PDFBibTeX XMLCite \textit{S. Gouëzel}, Probab. Theory Relat. Fields 128, No. 1, 82--122 (2004; Zbl 1038.37007) Full Text: DOI arXiv
Heinrich, L. On the asymptotic behaviour of the integral \(\int_0^\infty e^{itx}\left(\frac{1}{x^\alpha}-\frac{1}{[x^\alpha]+1}\right)dx (t\to 0)\) and rates of convergence to \(\alpha\)-stable limit laws. (English) Zbl 0985.41022 Z. Anal. Anwend. 20, No. 2, 379-394 (2001). Reviewer: J.M.Rappoport MSC: 41A60 40E05 11K50 60E07 PDFBibTeX XMLCite \textit{L. Heinrich}, Z. Anal. Anwend. 20, No. 2, 379--394 (2001; Zbl 0985.41022) Full Text: DOI
Guivarc’h, Yves; Le Jan, Yves Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions. (English) Zbl 0784.60076 Ann. Sci. Éc. Norm. Supér. (4) 26, No. 1, 23-50 (1993). Reviewer: Yu.N.Bibikov (St.Peterburg) MSC: 60J65 58J65 PDFBibTeX XMLCite \textit{Y. Guivarc'h} and \textit{Y. Le Jan}, Ann. Sci. Éc. Norm. Supér. (4) 26, No. 1, 23--50 (1993; Zbl 0784.60076) Full Text: DOI Numdam EuDML
Samur, Jorge D. On some limit theorems for continued fractions. (English) Zbl 0676.60015 Trans. Am. Math. Soc. 316, No. 1, 53-79 (1989). Reviewer: R.J.Tomkins MSC: 60E05 60F17 11K60 60F05 11K16 60B12 26A12 PDFBibTeX XMLCite \textit{J. D. Samur}, Trans. Am. Math. Soc. 316, No. 1, 53--79 (1989; Zbl 0676.60015) Full Text: DOI
Philipp, Walter Limit theorems for sums of partial quotients of continued fractions. (English) Zbl 0638.60039 Monatsh. Math. 105, No. 3, 195-206 (1988). Reviewer: W.Philipp MSC: 60F15 11K50 60F05 PDFBibTeX XMLCite \textit{W. Philipp}, Monatsh. Math. 105, No. 3, 195--206 (1988; Zbl 0638.60039) Full Text: DOI EuDML