Combinatorial rigidity of multicritical maps

Abstract

We combine the KSS nest constructed by Kozlovski, Shen and van Strien, and the analytic method proposed by Avila, Kahn, Lyubich and Shen to prove the combinatorial rigidity of multicritical maps.

30 pages, 8 figures

References in corpus (3)

• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• Non-uniform hyperbolicity in complex dynamics
• A characterization of hyperbolic rational maps