preprint-author: 
M. Yampolsky
preprint-title: 
The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps
preprint-abstract: 

We 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.

preprint-year: 
1998