球面上的超一致点集：概率问题
Hyperuniform point sets on the sphere: probabilistic aspects
摘要：
超均匀性的概念是由Torquato和Stillinger在2003年引入的，作为检测非晶无序和晶体有序之间的结构行为的概念。本文研究了这一概念的推广单位领域。结果表明，几个研究得很好的决定点过程是超一致的，最近引入的过程，投影系综，被证明不是超一致的。
英文摘要：
The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between amorphous disorder and crystalline order. The present paper studies a generalisation of this concept to the unit sphere. It is shown that several well studied determinantal point processes are hyperuniform, one recently introduced process, the projective ensemble, is shown not to be hyperuniform.
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。
