论文标题
Riesz和绿色能源在投影空间上
Riesz and Green energy on projective spaces
论文作者
论文摘要
在本文中，我们在两点均匀的空间上研究了Riesz，绿色和对数能量。更确切地说，我们考虑了真实的，综合体，Quaternionic和Cayley投射空间。对于这些空间，我们使用确定点过程为上述能量提供了上述能量的上限。此外，我们确定了相同数量级的这些能量的下限。
In this paper we study Riesz, Green and logarithmic energy on two-point homogeneous spaces. More precisely we consider the real, the complex, the quaternionic and the Cayley projective spaces. For each of these spaces we provide upper estimates for the mentioned energies using determinantal point processes. Moreover, we determine lower bounds for these energies of the same order of magnitude.
