On the Metrical Theory of Continued Fraction Mixing Fibred Systems and Its Application to Jacobi-Perron Algorithm

Hitoshi Nakada, Rie Natsui

研究成果: Article査読

10 被引用数 (Scopus)

抄録

We study the metrical theory of fibred systems, in particular, in the case of continued fraction mixing systems. We get the limit distribution of the largest value of a continued fraction mixing stationary stochastic process with infinite expectation and some related results. These are analogous to J. Galambos, W. Philipp, and H. G. Diamond-J. D. Vaaler theorems for the regular continued fractions. As an application, we see that these theorems hold for Jacobi-Petron algorithm.

本文言語English
ページ(範囲)267-288
ページ数22
ジャーナルMonatshefte fur Mathematik
138
4
DOI
出版ステータスPublished - 2003 4 1

ASJC Scopus subject areas

  • Mathematics(all)

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