风景流、圆锥密度和可校正性
Scenery flow, conical densities, and rectifiability
摘要:
我们提出了一个应用程序的最近发展的遍历理论机械的风景流的一个经典的几何测度理论问题在欧几里得空间。我们还审查了我们的工作中所需的理论的增强。我们的主要结果是一个尖锐的版本的圆锥密度定理,我们减少到一个问题的可求性。
英文摘要:
We present an application of the recently developed ergodic theoretic machinery on scenery flows to a classical geometric measure theoretic problem in Euclidean spaces. We also review the enhancements to the theory required in our work. Our main result is a sharp version of the conical density theorem, which we reduce to a question on rectifiability.
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。