Complex Bounds for Renormalization of Critical Circle Maps
نویسنده
چکیده
We use the methods developed with M. Lyubich for proving complex bounds for real quadratics to extend E. De Faria's complex a priori bounds to all critical circle maps with an irrational rotation number. The contracting property for renormalizations of critical circle maps follows. As another application of our methods we present a new proof of theorem of C. Pe-tersen on local connectivity of some Siegel Julia sets.
منابع مشابه
Complex Bounds for Critical Circle Maps
October 1995 Abstract. We use the methods developed with M. Lyubich for proving complex bounds for real quadratics to extend E. De Faria’s complex a priori bounds to all critical circle maps with an irrational rotation number. The contracting property for renormalizations of critical circle maps follows. In the Appendix we give an application of the complex bounds for proving local connectivity...
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