现代电子技术2012，Vol.35Issue(21)：97-98,101,3.
遍历积分的计算与推广
Calculation of ergodic integral and its generalization
摘要
Abstract
What Ergodic theory studies is mainly about the qualitative property of group actions on measure spaces. In this paper, the formula of ergodic integral is analyzed. The integral on interval [0, 1] is generalized to real number interval, and rational interval and irrational interval are described with class A and class B respectively. Then integral formula of the two classes is given. It can be seen that the [0, 1] interval integral is a special case of the proposed class A. A description of independent variable's ergodic movement in its interval by a geometrical way is given.关键词
遍历/动力系统/有理数/无理数Key words
ergodic/ dynamical system/ rational number/ irrational number分类
信息技术与安全科学引用本文复制引用
陆峰,周井泉..遍历积分的计算与推广[J].现代电子技术,2012,35(21):97-98,101,3.基金项目
江苏省高校自然科学基金(11KJB510013) （11KJB510013）
