@article{10902/31926,
year = {2024},
month = {1},
url = {https://hdl.handle.net/10902/31926},
abstract = {In this paper we compute the logarithmic energy of points in the unit interval [-1,1] chosen from different Gegenbauer Determinantal Point Processes. We check that all the different families of Gegenbauer polynomials yield the same asymptotic result to third order, we compute exactly the value for Chebyshev polynomials and we give a closed expression for the minimal possible logarithmic energy. The comparison suggests that DPPs cannot match the value of the minimum beyond the third asymptotic term.},
organization = {CB was partially supported by grants PID2020-113887GB-I00, MTM2017-83816-P and MTM2017-90682-REDT funded by MCIN/ AEI /10.13039/501100011033, and by Banco de Santander and Universidad de Cantabria grant 21.SI01.64658. AD and LF were partially supported by FEDER/Junta de Andalucía A-FQM-246-UGR20; grant PGC2018-094932-B-I00 and IMAG-María de Maeztu grant CEX2020-001105-M both funded by MCIN/ AEI /10.13039/501100011033 and FEDER funds. JSL was partially supported by FEDER/Junta de Andalucía A-FQM-246-UGR20; grant MTM2015-71352-P funded by MINECO; and IMAG-María de Maeztu grant CEX2020-001105-M funded by MCIN/ AEI /10.13039/501100011033 and FEDER funds.},
publisher = {Springer Nature},
publisher = {Potential Analysis, 2024, 60(1), 139-172},
title = {On gegenbauer point processes on the unit interval},
author = {Beltrán Álvarez, Carlos and Delgado, Antonia and Fernández, Lidia and Sánchez-Lara, Joaquín},
}