The periodic points of renormalization

Marco Martens

doi:10.2307/120959

The periodic points of renormalization

Marco Martens

Mathematics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent α > 1, has periodic points of any combinatorial type.

Original language	English
Pages (from-to)	543-584
Number of pages	42
Journal	Annals of Mathematics
Volume	147
Issue number	3
DOIs	https://doi.org/10.2307/120959
State	Published - May 1998

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AB - It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent α > 1, has periodic points of any combinatorial type.

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JO - Annals of Mathematics

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The periodic points of renormalization

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