On conjugacies between asymmetric Bernoulli shifts

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Shi, Yong-Guo¹  Tang, Yilei² 

[1] Neijiang Normal Univ, Coll Math & Informat Sci, Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Sichuan, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

关键词: Asymmetric Bernoulli shift;    Topological conjugacy;    B-alpha-expansion;    Singular function;    Holder continuity;   

DOI  :  10.1016/j.jmaa.2015.09.019

来源: Elsevier

【 摘 要 】

This paper investigates conjugacies between asymmetric Bernoulli shifts. It is shown that there exist a unique increasing conjugacy and a unique decreasing conjugacy. We respectively construct a sequence of functions to approximate these two conjugacies, and give an estimation for the error of the approximation. We also present explicit formulae of these two conjugacies. It is shown that these two conjugacies are singular, Holder continuous and not differentiable. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free