Peng SUN . A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM[J]. Acta mathematica scientia, Series B, 2018 , 38(3) : 965 -972 . DOI: 10.1016/S0252-9602(18)30796-3

[1] Abramowitz M, Stegun I A. Handbook of Mathematical Functions. New York:Dover Publications, 1964
[2] Burger E B, Gell-Redman J, Kravitz R, Walton D, Yates N. Shrinking the period lengths of continued fractions while still capturing convergents. J Number Theory, 2008, 128(1):144-153
[3] Dajani K, Kraaikamp C, van der Wekken N. Ergodicity of N-continued fraction expansions. J Number Theory, 2013, 133(9):3183-3204
[4] Iosifescu M, Kraaikamp C. Metrical Theory of Continued Fractions. Dordrecht:Kluwer Academic Publishers, 2002
[5] Khinchin A. Continued Fractions. Chicago and London:The University of Chicago Press, 1964
[6] Kuzmin R O. On a problem of Gauss. Dokl Akad Nauk SSSR Ser A, 1928:375-380
[7] Lascu D. Dependence with complete connections and the Gauss-Kuzmin theorem for N-continued fractions. J Math Anal Appl, 2016, 444(1):610-623
[8] Lascu D. Metric properties of N-continued fractions. Math Reports, 2017, 19(2):165-181
[9] Lévy P. Sur les lois de probabilité dont dépendent les quotients complets et incomplets dúne fraction continue. Bull Soc Math France, 1929, 57:178-194
[10] Rockett A M, Szüsz P. Continued Fractions. Singapore:World Scientific, 1992
[11] Sun P. Invariant measures for generalized Gauss transformations. Preprint, 2017