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arXiv:1201.1401 [math.DS]AbstractReferencesReviewsResources

Rigidity for piecewise smooth homeomorphisms on the circle

Kleyber Cunha, Daniel Smania

Published 2012-01-06, updated 2013-11-04Version 3

We find conditions for two piecewise C^{2+\nu} homeomorphisms f and g of the circle to be C^1 conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean nonlinearity for f and g.

Comments: 40 pages
Journal: Advances in Mathematics 250 (2014) 193--226
Categories: math.DS
Subjects: 37E10, 37E05, 37E20, 37C05, 37B10
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