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二进制动力系统中乘积型动力丢番图逼近问题研究

A Study of the Multiplicative Dynamical Diophantine Approximation Problems in Binary Dynamical Systems
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摘要 研究二进制动力系统中乘积型丢番图逼近问题,并且证明相应集合的Hausdorff测度与某个级数的敛散性有关。 The multiplicative Diophantine approximation problems in binary dynamical systems are studied, and it is shown that the Hausdorff measure of a corresponding set is related to the convergence or divergence of a certain series.
作者 李露 王修建 岳芹 LI Lu;WANG Xiujian;YUE Qin(College of Finance andMathematics,West Anhui University,Lu an 237012,China)
出处 《皖西学院学报》 2022年第5期72-74,95,共4页 Journal of West Anhui University
基金 安徽高校自然科学研究项目(KJ2021A0950) 安徽省示范基层教学组织项目(2020SJSFJX22403) 皖西学院校级科研项目(WXZR202126) 皖西学院卓越人才培养创新项目(wxxy2020002)。
关键词 二进制动力系统 丢番图逼近 HAUSDORFF测度 binary dynamical systems diophantine approximation Hausdorff Measure
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