3 papers
math.CO2026
Optimal Small Set Expanders and Their Codes
Tristram Bogart, Marcelo Fiori, Pedro Raigorodsky +1
A left-regular bipartite graph of degree is called a -small-set-expander if every subset of left vertices of size at most has at least neighbors. Su…
math.AC2026
Characterization of Logarithmic Fekete Critical Configurations of at Most Six Points in All Dimensions
Diego Armentano, Leandro Bentancur, Federico Carrasco +3
We consider the logarithmic Fekete problem, which consists of placing a fixed number of points on the unit sphere in , in such a way that the product of all pairs of…
math.PR2025
On the logarithmic energy of solutions to the polynomial eigenvalue problem
Diego Armentano, Federico Carrasco, Marcelo Fiori
In this paper, we compute the expected logarithmic energy of solutions to the polynomial eigenvalue problem for random matrices. We generalize some known results for the Shub-Smale…