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- W2951885157 abstract "According to the classical Plante-Thurston Theorem, all nilpotent groups of $C^2$-diffeomorphisms of the closed interval are Abelian. Using techniques coming from the works of Denjoy and Pixton, Farb and Franks constructed a faithful action by $C^1$-diffeomorphisms of $[0,1]$ for every finitely-generated, torsion-free, non-Abelian nilpotent group. In this work, we give a version of this construction that is sharp in what concerns the Holder regularity of the derivatives. Half of the proof relies on results on random paths on Heisenberg-like groups that are interesting by themselves." @default.
- W2951885157 created "2019-06-27" @default.
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- W2951885157 date "2011-08-25" @default.
- W2951885157 modified "2023-10-16" @default.
- W2951885157 title "Sharp regularity for certain nilpotent group actions on the interval" @default.
- W2951885157 cites W2962750605 @default.
- W2951885157 doi "https://doi.org/10.48550/arxiv.1108.5223" @default.
- W2951885157 hasPublicationYear "2011" @default.
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