随机位置的Noether定理
A Noether theorem for random locations
摘要：
我们提出了一个统一的框架随机位置表现出一些概率对称性，如平稳性，自相似性等的Noether的类型的定理证明，这引起了一个守恒律描述的变化的密度函数的随机位置作为感兴趣的间隔的变化。我们还讨论了随机位置分布的边界和近边界表现。
英文摘要：
We propose a unified framework for random locations exhibiting some probabilistic symmetries such as stationarity, self-similarity, etc. A theorem of Noether's type is proved, which gives rise to a conservation law describing the change of the density function of a random location as the interval of interest changes. We also discuss the boundary and near boundary behavior of the distributions of the random locations.
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。
