A Two-Dimensional Gauss–Kuzmin Theorem Associated with the Random Fibonacci-Type Sequences

Author:

Zhang Xian

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference19 articles.

1. Chan, H.: The asymptotic growth rate of random Fibonacci type sequences II. Fibonacci Quart. 44(1), 73–84 (2006)

2. Dajani, K., Kraaikamp, C.: Generalization of a theorem of Kusmin. Monatsh. Math. 118(1–2), 55–73 (1994)

3. Dajani, K., Kraaikamp, C.: A Gauss-Kusmin theorem for optimal continued fractions. Trans. Amer. Math. Soc. 351(5), 2055–2079 (1999)

4. Iosifescu, M.: On the Gauss–Kuzmin-Lévy theorem, III. Rev. Roumaine Math. Pures Appl. 42(1), 71–88 (1997)

5. Iosifescu, M.: On a 1936 paper of Arnaud Denjoy on the metrical theory of the continued fraction expansion. Rev. Roumaine Math. Pures Appl. 44, 777–792 (1999)

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