2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122617We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a generating function whose semiclassical limit is determined by quadruplets of sets of periodic orbits. The asymptotic expansions of both the non-oscillatory and the oscillatory part of the universal spectral correlator are obtained. Borel summation of the series reproduces the exact correlator of random-matrix theory.4 pages, 1 figure (+ web-only appendix with 2 pages, 1 figure)Chaotic DynamicsMesoscale and Nanoscale Physicstext