2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24566Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the inverse temperature). They contain Tsallis statistics as a special case. We develop here a technique that allows us to analyze the large energy asymptotics of the stationary distributions of general superstatistics. A saddle-point approximation is developed which relates this problem to a variational principle. Several examples are worked out in detail.Published version, few typos corrected, 7 pages, 1 figure, RevTeX4Statistical Mechanicstext