Isomorphisms between positive and negative β-transformations

被引：7
作者：
Kalle, Charlene [1 ]
机构：
[1] Leiden Univ, Inst Math, NL-2300 RA Leiden, Netherlands
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2014年 / 34卷
关键词：
PIECEWISE MONOTONIC TRANSFORMATIONS; INVARIANT-MEASURES; INTERVAL; ENTROPY;
D O I：
10.1017/etds.2012.127
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compare a piecewise linear map with constant slope beta > 1 and a piecewise linear map with constant slope -beta. These maps are called the positive and negative beta-transformations. We show that for a certain set of beta s, the multinacci numbers, there exists a measurable isomorphism between these two maps. We further show that for all other values of beta between 1 and 2 the two maps cannot be isomorphic.
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收藏
页码：153 / 170
页数：18
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