Low-energy points on the sphere and the real projective plane |
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Affiliation: | Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Avda. Los Castros, s/n, 39005 Santander, Spain |
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Abstract: | We present a generalization of a family of points on , the Diamond ensemble, containing collections of N points on with very small logarithmic energy for all . We extend this construction to the real projective plane and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space. |
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Keywords: | Minimal logarithmic energy Minimal Green energy Constructive spherical points Constructive projective points |
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