Invariant densities for generalized β-maps

被引：27

作者：

Gora, Pawel ^{[1
]}

机构：

[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷

关键词：

D O I：

10.1017/S0143385707000053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find an explicit formula for the invariant density of a generalized beta-map. This allows us to also find an explicit formula for the invariant density of Chebyshev map and discuss the monotonicity of the asymptotic average for such maps. Our results are based on a generalization of works of Parry.

引用

页码：1583 / 1598

页数：16

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