The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps

Details The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps

1998-05-27

arxiv.org/abs/math/9805125v1

Mathematics

Dynamical Systems

32 pages. 2 PostScript figures

Scientific paper

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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