Rotation numbers in Thompson-Stein groups and applications

Details Rotation numbers in Thompson-Stein groups and applications Rotation numbers in Thompson-Stein groups and applications

2006-04-05

arxiv.org/abs/math/0604109v2

Geometriae Dedicata (2008), vol. 131, no. 1, pp. 49-71

Mathematics

Dynamical Systems

16 pages 3 figures

Scientific paper

We study the properties of rotation numbers for some groups of piecewise
linear homeomorphisms of the circle. We use these properties to obtain results
on PL rigidity, non isomorphicity, non exoticity of automorphisms, non
smoothability for Thompson-Stein groups.

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