Asymptotically holomorphic methods for infinitely renormalizable unimodal maps

The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of asymptotically holomorphic extensions of $C^r$ ( $r>3$ ) unimodal maps that are infinitely renormalizable of bounded t...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2023-11, Vol.43 (11), p.3636-3684
Hauptverfasser:	CLARK, TREVOR, DE FARIA, EDSON, VAN STRIEN, SEBASTIAN
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Asymptotic properties Mapping Mathematical analysis Neighborhoods Polynomials Theorems
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