On conjugacies between asymmetric Bernoulli shifts

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• 作者：Yong-Guo Shi^a ; ^{scumat@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yilei Tang^b ; ^{mathtyl@sjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Asymmetric Bernoulli shift ; Topological conjugacy ; BaBa-expansion ; Singular function ; Hö ; lder continuity
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：434
• 期：1
• 页码：209-221
• 全文大小：402 K

文摘

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, Hölder continuous and not differentiable.