华中师范大学学报（自然科学版）2017，Vol.51Issue(2)：140-142,3.
Cantor四分集上的变换及其遍历测度
The transformations of Fourth-middle Cantor set and their ergodic measures
摘要
Abstract
In this paper,the sufficient and necessary condition is provided for Tα(x) =αx (mod 1)(α ∈ R+) to be transformations of Fourth-Middle Cantor set T(4,{0,2}):Tα isatransformationofT(4,{0,2})ifandonlyifα=4n(n ∈ Z).Then the existence of ergodic measures is considered.关键词
Cantor四分集/不变测度/遍历测度Key words
Fourth-Middle Cantor set/invariant measure/ergodic measure分类
数理科学引用本文复制引用
王芬,张晓艳..Cantor四分集上的变换及其遍历测度[J].华中师范大学学报（自然科学版）,2017,51(2):140-142,3.基金项目
国家自然科学基金项目(11271148). （11271148）
