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Critical exponent and Hausdorff dimension for quasi-Fuchsian AdS manifolds Glorieux, Olivier ; Monclair, Daniel E-print/Working paper (2016) Detailed reference viewed: 108 (8 UL)Attractors in spacetimes and time functions Monclair, Daniel E-print/Working paper (2016) Detailed reference viewed: 35 (0 UL)Convergence groups and semiconjugacy 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: 128 (11 UL)Isometries of Lorentz surfaces and convergence groups 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: 119 (4 UL)Differentiable conjugacy for groups of area preserving circle diffeomorphisms 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: 106 (1 UL) |
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