On non-monotonicity of logarithmic energy for random matrices
arXiv:2607.24170
Abstract
We construct a finite-energy Wigner counterexample and a concrete one-parameter family of Gaussian-regularised Bernoulli entry laws yielding counterexamples to the conjectural dimensional monotonicity of the quadratically penalised logarithmic energy for mean empirical spectral distributions by Chafaï, Dadoun, and Youssef.
arXiv commentStreamlined construction and exposition