English

(Un)distorted diffeomorphisms in different regularities

Group Theory 2020-07-28 v3 Dynamical Systems

Abstract

We build the first examples of diffeomorphisms that are distorted in a group of CrC^r diffeomorphisms yet undistorted in the corresponding group of CsC^s diffeomorphisms, where r<sr < s. This explicit construction is performed for the closed interval, r=1r = 1 and s=2s = 2.

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Cite

@article{arxiv.2004.07055,
  title  = {(Un)distorted diffeomorphisms in different regularities},
  author = {Andrés Navas},
  journal= {arXiv preprint arXiv:2004.07055},
  year   = {2020}
}

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R2 v1 2026-06-23T14:52:10.909Z