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Existence and Properties of p-tupling Fixed Points

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Abstract:

We prove the existence of fixed points of p-tupling renormalization operators for interval and circle mappings having a critical point of arbitrary real degree r > 1. Some properties of the resulting maps are studied: analyticity, univalence, behavior as r tends to infinity.

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  1. Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette, France, , , , , , FR

    Henri Epstein

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  1. Henri Epstein
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Received: 10 April 2000 / Accepted: 7 July 2000

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Epstein, H. Existence and Properties of p-tupling Fixed Points. Commun. Math. Phys. 215, 443–476 (2000). https://doi.org/10.1007/s002200000311

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  • DOI: https://doi.org/10.1007/s002200000311

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