Reference : Convergence groups and semiconjugacy
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/22551
Convergence groups and semiconjugacy
English
Monclair, Daniel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Oct-2015
Ergodic Theory and Dynamical Systems
University Press
First view
1469-4417
1-26
Yes
International
0143-3857
1469-4417
Cambridge
United Kingdom
[en] We study a problem that arises from the study of Lorentz surfaces and Anosov flows. For a non-decreasing map of degree one h:S^1->S^1, we are interested in groups of circle diffeomorphisms that act on the complement of the graph of h in S1^×S^1 by preserving a volume form. We show that such groups are semiconjugate to subgroups of PSL(2,R) and that, when h∈Homeo(S^1), we have a topological conjugacy. We also construct examples where h is not continuous, for which there is no such conjugacy.
http://hdl.handle.net/10993/22551
10.1017/etds.2014.96

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