Sharp regularity for certain nilpotent group actions on the interval

DOI10.1007/s00208-013-0995-1zbMath1310.37020arXiv1108.5223OpenAlexW1979250828MaRDI QIDQ2249458

Andrés Navas, Gonzalo Castro, Eduardo Jorquera

Publication date: 1 July 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5223

zbMATH Keywords

diffeomorphismsinterval mapsHölder regularityrandom pathHeisenberg-like groupsnilpotent group action

Mathematics Subject Classification ID

Nilpotent groups (20F18) Dynamical systems involving maps of the interval (37E05) Smooth dynamical systems: general theory (37C99)

Related Items (8)

Topological conjugation classes of tightly transitive subgroups of \(\mathrm{Homeo}_+(\mathbb{S}^1)\) ⋮ Examples of distorted interval diffeomorphisms of intermediate regularity ⋮ Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ On centralizers of interval diffeomorphisms in critical (intermediate) regularity ⋮ On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of ⋮ Direct products, overlapping actions, and critical regularity ⋮ Diffeomorphism groups of critical regularity

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