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arxiv: 1609.07524 · v3 · pith:HLYWM4FYnew · submitted 2016-09-23 · 🧮 math.DS

Renormalization of unicritical analytic circle maps

classification 🧮 math.DS
keywords mapscriticalanalyticcirclerenormalizationarbitrarycasecubic
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In this paper we generalize renormalization theory for analytic critical circle maps with a cubic critical point to the case of maps with an arbitrary odd critical exponent by proving a quasiconformal rigidity statement for renormalizations of such maps.

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