On the mixing coefficients of piecewise monotonic maps

Jon Aaronson, Hitoshi Nakada

研究成果: Article査読

10 被引用数 (Scopus)

抄録

We investigate the mixing coefficients of interval maps satisfying Rychlik's conditions. A mixing Lasota-Yorke map is reverse φ-mixing. If its invariant density is uniformly bounded away from 0, it is φ-mixing iff all images of all orders are big, in which case it is ψ-mixing. Among β-transformations, non-φ-mixing is generic. In this sense, the asymmetry of φ-mixing is natural.

本文言語English
ページ(範囲)1-10
ページ数10
ジャーナルIsrael Journal of Mathematics
148
DOI
出版ステータスPublished - 2005

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「On the mixing coefficients of piecewise monotonic maps」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル