Austin Anderson, Maria Dostert, Peter J. Grabner, Ryan W. Matzke, Tetiana A. Stepaniuk
Published 2022-04-08Version 1
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.
Equivalent symmetric kernels of determinantal point processes
Riesz Energy, $L^2$ Discrepancy, and Optimal Transport of Determinantal Point Processes on the Sphere and the Flat Torus
Linear statistics of determinantal point processes and norm representations
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