Hyperbolicity of Renormalization for bi-cubic circle maps with bounded combinatorics

2021/12/10 by Gabriela Estevez, Estevez, Gabriela, Michael Yampolsky +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2112.05849

openalex publication_date 2021/12/10 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We construct a hyperbolic attractor of renormalization of bi-cubic circle maps with bounded combinatorics, with a codimension-two stable foliation.

Related

• Renormalization of bi-cubic circle maps
• Hyperbolicity of renormalization of circle maps with a break-type singularity
• Renormalization of almost commuting pairs
• Parabolic limits of renormalization
• Decay of geometry for a class of cubic polynomials