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(Un)distorted diffeomorphisms in different regularities

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Abstract

We build the first examples of diffeomorphisms that are distorted in a group of C1 diffeomorphisms yet undistorted in the corresponding group of C2 diffeomorphisms. This explicit construction is performed for the closed interval.

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Acknowledgments

I wish to thank Adrien Le Boudec, Sang-Hyun Kim and Christian Rosendal for their useful remarks, Jairo Bochi and Godofredo Iommi for a couple of references, and the referee for her/his many corrections.

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Authors and Affiliations

  1. Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Alameda 3363, Estación Central, Santiago, Chile

    Andrés Navas

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  1. Andrés Navas
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Correspondence to Andrés Navas.

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Funded by Fondecyt Project 1200114.

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Navas, A. (Un)distorted diffeomorphisms in different regularities. Isr. J. Math. 244, 727–741 (2021). https://doi.org/10.1007/s11856-021-2188-z

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  • DOI: https://doi.org/10.1007/s11856-021-2188-z

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