A Cascade of Volterra-Operator BBP Transitions in a Correlated Wigner Matrix
Updated
Updated · arxiv.org · Jul 13
A Cascade of Volterra-Operator BBP Transitions in a Correlated Wigner Matrix
1 articles · Updated · arxiv.org · Jul 13
Summary
Researchers have discovered a cascade of Baik–Ben Arous–Péché (BBP) transitions in a correlated Wigner matrix governed by Volterra-operator spectra.
Rather than a single phase transition, the system exhibits an infinite, discrete hierarchy of critical points, each linked to the spectrum of a compact integral operator.
This finding extends classical random matrix theory and could impact fields relying on high-dimensional data analysis, such as physics, finance, and network theory.