Renormalization theory for multimodal maps

DOI10.1007/S00574-005-0038-YzbMath1100.37024arXivmath/0102129MaRDI QIDQ6470930

Daniel Smania

Publication date: 16 February 2001

Abstract: We study the dynamics of the renormalization operator for multimodal maps. In particular, we prove the exponential convergence of this operator for infinitely renormalizable maps with same bounded combinatorial type.

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20) Renormalization of holomorphic dynamical systems (37F25)

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