具有Radon MSJ的无穷保测度变换
Infinite measure~preserving~transformations with Radon MSJ
摘要:
本文对局部紧Cantor空间的无穷Radon测度保持同胚引入Radon MSJ和Radon不交性的概念。我们构造了一个不可数的两两Radon不相交的无限Chacon类变换族。每个这样的变换是Radon严格遍历的,完全遍历的,不对称的(不同构于它的逆),有Radon MSJ和拥有Radon连接,其遍历分量不是连接。
英文摘要:
We introduce concepts of Radon MSJ and Radon disjointness for infinite Radon measure preserving homeomorphisms of the locally compact Cantor space. We construct an uncountable family of pairwise Radon disjoint infinite Chacon like transformations. Every such transformation is Radon strictly ergodic, totally ergodic, asymmetric (not isomorphic to its inverse), has Radon MSJ and possesses Radon joinings whose ergodic components are not joinings.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。