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Riesz and Green energy on projective spaces
Austin Anderson, Maria Dostert, Peter Grabner, Ryan Matzke, Tetiana Stepaniuk
Source abstract
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.
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