The outside of the Teichmüller space of punctured tori in Maskit's embedding.
Parkkonen, Jouni (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Parkkonen, Jouni (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Andrés Navas (2010)
Annales de l’institut Fourier
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We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable group has infinitely many orderings, then it has uncountably many) and McCleary (the space of orderings of the free group is a Cantor set). We show that this last result also holds for countable torsion-free nilpotent groups which are not rank-one Abelian. Finally, we apply our methods to the...
Pierre Lochak, Jean-Pierre Marco (2005)
Open Mathematics
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For a positive integer n and R>0, we set . Given R>1 and n≥4 we construct a sequence of analytic perturbations (H j) of the completely integrable Hamiltonian on , with unstable orbits for which we can estimate the time of drift in the action space. These functions H j are analytic on a fixed complex neighborhood V of , and setting the time of drift of these orbits is smaller than (C(1/ɛ j)1/2(n-3)) for a fixed constant c>0. Our unstable orbits stay close to a doubly...
Bonfert-Taylor, Petra (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Gaven J. Martin (1988)
Revista Matemática Iberoamericana
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This paper is mainly intended as a survey of the recent work of a number of authors concerning certain infinite group actions on spheres and to raise some as yet unanswered questions. The main thrust of the current research in this area has been to decide what topological and geometrical properties characterise the infinite conformal or Möbius groups. One should then obtain reasonable topological or geometrical restrictions on a subgroup G of the homeomorphism group of a sphere which...
Sharp, R. (2001)
Portugaliae Mathematica. Nova Série
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Lyubich, Mikhail (1999)
Annals of Mathematics. Second Series
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Barbot, Thierry (2001)
Geometry & Topology
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José L. Fernández (1989)
Extracta Mathematicae
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Joseph F. Plante (1984)
Annales de l'institut Fourier
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We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.