遍历理论是研究保测变换的渐近性态的数学分支。它起源于为统计力学提供基础的"遍历假设"研究，并与动力系统理论、概率论、信息论、泛函分析、数论等数学分支有着密切的联系。
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遍历定理和不变测度的存在性是遍历理论中的二个基本研究主题。
Ergodic theorems and the existence of invariant measures are two major topics in Ergodic theory.
国际数学联盟在颁奖辞中称Lindenstrauss在遍历理论方面取得了意义深远的进展，遍历理论是用于研究动力系统统计行为的数学分支。
Lindenstrauss, the ICM citation says, "has made far-reaching advances in ergodic theory," which studies the statistical behavior of dynamical systems.
在此基础上，采用深度优先遍历的递归理论和数据库技术，实现了流域节点间关系的计算机存储。
In these foundations, the recursion theory of depth first traversal, database technology and visual programming technology are employed to computer memory, which is expressed to node relations.
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