Laurent Danion

Arithmetic Holonomy and Non-Integrable Accumulation as a Structural Origin of GUE Statistics in the Zeros of the Riemann Zeta Function

The non-trivial zeros of the Riemann zeta function exhibit universal statistical properties consistent with the Gaussian Unitary Ensemble (GUE), including level repulsion and spectral rigidity. While this behavior is often interpreted through the conjectural existence of a chaoti...