各态历经电流和广义电流
Ergodic solenoids and generalized currents
摘要:
我们引入螺线管作为抽象层合空间的概念。我们做一个彻底的研究,导致遍历和唯一遍历的概念。我们定义了广义电流与浸入的定向与横向措施到光滑流形,推广Ruelle-Sullivan电流。
英文摘要:
We introduce the concept of solenoid as an abstract laminated space. We do a thorough study of solenoids, leading to the notion of ergodic and uniquely ergodic solenoids. We define generalized currents associated with immersions of oriented solenoids with a transversal measure into smooth manifolds, generalizing Ruelle-Sullivan currents.
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