![]() Glorieux, Olivier ![]() ![]() E-print/Working paper (2016) Detailed reference viewed: 90 (8 UL)![]() Monclair, Daniel ![]() E-print/Working paper (2016) Detailed reference viewed: 31 (0 UL)![]() Monclair, Daniel ![]() in Ergodic Theory and Dynamical Systems (2015), First view(1469-4417), 1-26 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 ... [more ▼] 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. [less ▲] Detailed reference viewed: 124 (11 UL)![]() Monclair, Daniel ![]() in Mathematische Annalen (2015), 363(1), 101-141 We study the isometry group of a globally hyperbolic spatially compact Lorentz surface. Such a group acts on the circle, and we show that when the isometry group acts non properly, the subgroups of Diff(S ... [more ▼] We study the isometry group of a globally hyperbolic spatially compact Lorentz surface. Such a group acts on the circle, and we show that when the isometry group acts non properly, the subgroups of Diff(S^1) obtained are semi conjugate to subgroups of finite covers of PSL(2,R) by using convergence groups. Under an assumption on the conformal boundary, we show that we have a conjugacy in Homeo(S^1 ) [less ▲] Detailed reference viewed: 117 (4 UL)![]() ![]() Monclair, Daniel ![]() in Transactions of the American Mathematical Society (n.d.) We study groups of circle diffeomorphisms whose action on the cylinder C=S1×S1∖Δ preserves a volume form. We first show that such a group is topologically conjugate to a subgroup of PSL(2,R), then discuss ... [more ▼] We study groups of circle diffeomorphisms whose action on the cylinder C=S1×S1∖Δ preserves a volume form. We first show that such a group is topologically conjugate to a subgroup of PSL(2,R), then discuss the existence of a differentiable conjugacy. [less ▲] Detailed reference viewed: 102 (1 UL) |
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