一类自相似Volterra Gauss过程的遍历变换  

A Class of Ergodic Transformations of Self-similar Volterra Gaussian Processes

作　　者：胡华[1] 

机构地区：[1]宁夏大学数学计算机学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2009年第2期5-8,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(60663003);宁夏大学科研基金(ZR200817)

摘　　要：提出了一类X的在坐标空间上的保测变换,推广了这一结果,证明了这些保测变换是遍历的,得出了一类Volterra型的自相似Gauss过程的遍历变换.The study presents a class of measure-preserving transformations on the coordinate space of X, which generalizes this result. Moreover, the research shows that these measure-preserving transformations are ergodic. The result is a class of ergodic transformations of self-similar Gaussian processes that are Volterra.

关 键 词：自相似过程 VOLTERRA GAUSS过程 保测变换 遍历变换 

分 类 号：O211.6[理学—概率论与数理统计]