Combinatorial rigidity of multicritical maps

Wenjuan Peng (1) , Lei Tan (2)

1 Institute of Mathematics
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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.

Mots clés: Combinatorial rigidity; Multicritical maps; KSS nest

Domaines: Systèmes dynamiques [math.DS]

Wenjuan Peng, Lei Tan. Combinatorial rigidity of multicritical maps. 2011. ⟨hal-00601631⟩