On Gegenbauer Point Processes on the Unit Interval Beltrán, Carlos Delgado Amaro, Antonia María Fernández Rodríguez, Lidia Sánchez Lara, Joaquín Francisco Point distributions Gegenbauer polynomials Determinantal point processes Fekete points 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. 2022-11-04T10:59:01Z 2022-11-04T10:59:01Z 2022-10-04 info:eu-repo/semantics/article Beltrán, C... [et al.]. On Gegenbauer Point Processes on the Unit Interval. Potential Anal (2022). [https://doi.org/10.1007/s11118-022-10045-6] https://hdl.handle.net/10481/77749 10.1007/s11118-022-10045-6 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional Springer