Renormalization of unicritical analytic circle maps

2016/09/23 by Michael Yampolsky, Yampolsky, Michael
Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1609.07524

openalex publication_date 2016/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Rigidity, universality,and hyperbolicity of renormalization for critical circle maps with non-integer exponents
• Renormalization of bi-cubic circle maps
• The rigidity problem for analytic critical circle maps
• Hyperbolicity of renormalization of critical quasicircle maps
• Rigidity of critical circle mappings, I