@article{10902/31928, year = {2023}, month = {6}, url = {https://hdl.handle.net/10902/31928}, abstract = {We present a generalization of a family of points on S², the Diamond ensemble, containing collections of N points on S² with very small logarithmic energy for all N∈N. We extend this construction to the real projective plane RP² and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space.}, organization = {The authors have been supported by grant PID2020-113887GB-I00 funded by MCIN/AEI/ 10.13039/501100011033 . The second author has also been supported by the starting grant from FBBVA associated to the prize José Luis Rubio de Francia. The third author has also been supported by a predoctoral grant "Concepción Arenal" funded by Univ. Cantabria and by grant PRE2021-097772 funded by MCIN/AEI/ 10.13039/501100011033 and by "ESF Investing in your future".}, publisher = {Elsevier}, publisher = {Journal of Complexity, 2023, 76, 101742}, title = {Low-energy points on the sphere and the real projective plane}, author = {Beltrán Álvarez, Carlos and Etayo Rodríguez, Ujué and López Gómez, Pedro Ramón}, }