Translation numbers define generators of $F_k^+\to {\text{\rm Homeo}_+}(\mathbb{S}^1)$

zbMath1348.37067arXiv1306.5522MaRDI QIDQ2876643

T. Golenishcheva-Kutuzova, Victor Kleptsyn, Denis Volk, A. S. Gorodetskii

Publication date: 19 August 2014

Full work available at URL: https://arxiv.org/abs/1306.5522

zbMATH Keywords

synchronizationrotation numbertranslation numbergroups of homeomorphisms of the circle

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Dynamical systems involving maps of the circle (37E10) Rotation numbers and vectors (37E45)

Related Items (4)

Synchronization properties of random piecewise isometries ⋮ Random iterations of homeomorphisms on the circle ⋮ Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices ⋮ Density of fiberwise orbits in minimal iterated function systems on the circle

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