On ergodic theory of A. Schmidt's complex continued fractions over Gaussian field

Hitoshi Nakada

研究成果: Article査読

10 被引用数 (Scopus)

抄録

We construct a natural extension transformation associated with A. Schmidt's complex continued fractions. The transformation is defined on a subset of geodesics over a three dimensional hyperbolic space and an invariant measure for it is naturally induced from the hyperbolic measure. We discuss some applications of it to the metrical theory of continued fractions.

本文言語English
ページ(範囲)131-150
ページ数20
ジャーナルMonatshefte für Mathematik
105
2
DOI
出版ステータスPublished - 1988 6月 1

ASJC Scopus subject areas

  • 数学 (全般)

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