E-004 — Sine-kernel Gram matrix spectral moments Monte Carlo (thread T1)
08-17-2026 · 1 rows · script
research/numerics/scripts/E-004-sine-moments.py
Metadata
Monte Carlo reproduction of sine-kernel Gram matrix spectral moments m_k(1)=1,4/3,2,13/4 and Christoffel Lambda_2(0)=5/36 (paper §7.2(f))
Validation checks
| moments |
PASS |
| christoffel |
PASS |
Parameters
| N_GUE | 400 |
| W | 600 |
| construction | integer grid, sinc kernel (dimensionless limit object) |
| n_samples | 60 |
| seed | 20260817 |
Data preview (1 rows total)