2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76971We demonstrate the existence of a global attractor A with a Cantor set structure for the renormalization of critical circle mappings. The set A is invariant under a generalized renormalization transformation, whose action on A is conjugate to the two-sided shift.32 pages. 2 PostScript figuresDynamical SystemsThe Attractor of Renormalization and Rigidity of Towers of Critical Circle Mapstext