Natural extensions for the Rosen fractions
Natural extensions for the Rosen fractions
复制标题
Rosen 分数的自然扩展
DOI：
10.1090/s0002-9947-99-02442-3
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发表时间：
1999
影响因子：
1.3
通讯作者：
Thomas A. Schmidt
中科院分区：
文献类型：
--
作者：
R. Burton;C. Kraaikamp;Thomas A. Schmidt
Rosen分式构成了一个无穷族，它推广了最近的整数连分式。我们找到了相关区间映射的平面自然扩张。这使得我们可以很容易地证明区间映射是弱Bernoulli的，并且统一和推广了文献中丢番图逼近的结果。
The Rosen fractions form an infinite family which generalizes the nearest-integer continued fractions. We find planar natural extensions for the associated interval maps. This allows us to easily prove that the interval maps are weak Bernoulli, as well as to unify and generalize results of Diophantine approximation from the literature.