2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80032We investigate the relation between the chaotic dynamics and the hierarchical phase-space structure of generic Hamiltonian systems. We demonstrate that even in ideal situations when the phase space is dominated by an exactly self-similar structure, the long-time dynamics is {\it not} dominated by this structure. This has consequences for the power-law decay of correlations and Poincaré recurrences.4 pages, 3 figures, minor corrections to previous versionChaotic Dynamicstext