Institute for Mathematical Sciences

Preprint ims98-5

M. Yampolsky
The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps

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.
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